### About the Number 86,168 (eighty-six thousand one hundred sixty-eight)

MathBabbler's Buick's odometer hit 86,168 on 2 July 2018 about six miles north of I-25 rest area in New Mexico.

```MathBabbler Number Analyst (MBNA) output:
=========================================
86168 is natural, counting, whole, integer
86168 is even (not odd)
86168 proper divisors are: 1,2,4,8,10771,21542,43084,
86168 is refactorable (evenly divisable  by # of divisors)
86168 has 7 proper divisors
86168 is deficient (sum of divisors is 75412; ratio: 0.875174)
86168 is unhappy
86168 is not a Squarefree Number: 4,
86168 is composite (not prime)
86168 has the prime factors: 2*2*2*10771 (sum=10777)
86168 is a 10771-smooth number
86168 is Recaman number 1
86168 is palindromic
86168 is the sum of 3 distinct cubes (6^3 + 28^3 + 40^3)
86168 is *not* arithmetic (A003601)
86168 digital root is 2
86168 in octal is 0250230
86168 in binary is 10101000010011000 (is evil)
86168 nearest square numbers: -319...268 (85849...86436 [294])
sqrt(86168) = 293.544
ln(86168) = 11.3641
log(86168) = 4.93535
86168 is an apocalyptic power (2^86168 contains 666)
86168! is inf
86168 is 27428.1 Pi years
86168 is 4308 score and 8 years
86168 is 21543^2 - 21541^2 and 2 * (21543 + 21541)
86168 is a multiple of 1 & it contains a 1 (A011531)
86168 is a multiple of 8 & it contains a 8 (A121028)
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86168 reciprocal is 0.000011605236282610713954136106211122458453254108253644044192739764181598737350292451954321789991644229876520285953022003527991829913657042057376288181227369789248909107789434592888311206016154488905394113824157459845882462166929718689072509516293751740785442391607093120415931668368767988116238046606628910964627239810602543867793148268498746634481478042892953300529198774487048556308606443227184105468387336366168415188933246680902423173335809117073623618976882369325039457803360876427444062761117816358741063968062389750255315198217435706990994336644694085971590381580168972240274811995172221706433942995079379816173057283446290966484077615820258100454925262278339987002135363476000371367561043542846532355398755918670504131464116609414167672453811159595209358462538297279732615356048649150496704112895738557237025345836041221799275833255965091449261906972425958592516943644972611642373038715068238789341750998050320304521400055705134156531426979853309813387800575619719617491412125150868071673939281403769380744591959892303407297372574505616934360783585553801875406183269891374988394763717389286045863893788877541546745891746355955807260235818401262649707548045678210008355770123479714046977996472008170086342957942623711818772630210751090892210565407111688793983845511094605886175842540154117537833070281310927490483706248259214557608392906879584068331631232011883761953393371089035372760189397456132206851731501253365518521957107046699470801225512951443691393556772815894531612663633831584811066753319097576826664190882926376381023117630674960542196639123572555937238882183641258936031937610249744684801782564293009005663355305914028409618419831027759725188004827778293566057004920620183826942716553709033515922384179741899545074737721660012997864636523999628632438956457153467644601244081329495868535883390585832327546188840404790641537461702720267384643951350849503295887104261442762974654163958778200724166744034908550738093027574041407483056355027388357626961284931761210658249001949679695478599944294865843468573020146690186612199424380280382508587874849131928326060718596230619255408040107696592702627425494383065639216414446198124593816730108625
remainders:
1,10,100,1000,10000,13832,52152,4512,45120,20360,31264,54136,24352,71184,22496,52624,9232,6152,61520,12024,34072,82216,46648,35640,11728,31112,52616,9152,5352,53520,18192,9584,9672,10552,19352,21184,39504,50368,72840,39056,45888,28040,21896,46624,35400,9328,7112,71120,21856,46224,31400,55496,37952,34848,3808,38080,36128,16608,79912,23608,63744,34264,84136,65848,55304,36032,15648,70312,13776,51592,85080,75288,63536,32184,63336,30184,43336,2520,25200,79664,21128,38944,44768,16840,82232,46808,37240,27728,18776,15424,68072,77544,86096,85448,78968,14168,55512,38112,36448,19808,25744,85104,75528,65936,56184,44832,17480,2464,24640,74064,51296,82120,45688,26040,1896,18960,17264,304,3040,30400,45496,24120,68864,85464,79128,15768,71512,25776,85424,78728,11768,31512,56616,49152,60680,3624,36240,17728,4944,49440,63560,32424,65736,54184,24832,75984,70496,15616,69992,10576,19592,23584,63504,31864,60136,84352,68008,76904,79696,21448,42144,76768,78336,7848,78480,9288,6712,67120,68024,77064,81296,37448,29808,39576,51088,80040,24888,76544,76096,71616,26816,9656,10392,17752,5184,51840,1392,13920,53032,13312,46952,38680,42128,76608,76736,78016,4648,46480,33960,81096,35448,9808,11912,32952,71016,20816,35824,13568,49512,64280,39624,51568,84840,72888,39536,50688,76040,71056,21216,39824,53568,18672,14384,57672,59712,80112,25608,83744,61928,16104,74872,59376,76752,78176,6248,62480,21624,43904,8200,82000,44488,14040,54232,25312,80784,32328,64776,44584,15000,63832,35144,6768,67680,73624,46896,38120,36528,20608,33744,78936,13848,52312,6112,61120,8024,80240,26888,10376,17592,3584,35840,13728,51112,80280,27288,14376,57592,58912,72112,31776,59256,75552,66176,58584,68832,85144,75928,69936,10016,13992,53752,20512,32784,69336,4016,40160,56928,52272,5712,57120,54192,24912,76784,78496,9448,8312,83120,55688,39872,54048,23472,62384,20664,34304,84536,69848,9136,5192,51920,2192,21920,46864,37800,33328,74776,58416,67152,68344,80264,27128,12776,41592,71248,23136,59024,73232,42976,85088,75368,64336,40184,57168,54672,29712,38616,41488,70208,12736,41192,67248,69304,3696,36960,24928,76944,80096,25448,82144,45928,28440,25896,456,4560,45600,25160,79264,17128,85112,75608,66736,64184,38664,41968,75008,60736,4184,41840,73728,47936,48520,54360,26592,7416,74160,52256,5552,55520,38192,37248,27808,19576,23424,61904,15864,72472,35376,9088,4712,47120,40360,58928,72272,33376,75256,63216,28984,31336,54856,31552,57016,53152,14512,58952,72512,35776,13088,44712,16280,76632,76976,80416,28648,27976,21256,40224,57568,58672,69712,7776,77760,2088,20880,36464,19968,27344,14936,63192,28744,28936,30856,50056,69720,7856,78560,10088,14712,60952,6344,63440,31224,53736,20352,31184,53336,16352,77352,84176,66248,59304,76032,70976,20416,31824,59736,80352,28008,21576,43424,3400,34000,81496,39448,49808,67240,69224,2896,28960,31096,52456,7552,75520,65856,55384,36832,23648,64144,38264,37968,35008,5408,54080,23792,65584,52664,9632,10152,15352,67352,70344,14096,54792,30912,50616,75320,63856,35384,9168,5512,55120,34192,83416,58648,69472,5376,53760,20592,33584,77336,84016,64648,43304,2200,22000,47664,45800,27160,13096,44792,17080,84632,70808,18736,15024,64072,37544,30768,49176,60920,6024,60240,85392,78408,8568,85680,81288,37368,29008,31576,57256,55552,38512,40448,59808,81072,35208,7408,74080,51456,83720,61688,13704,50872,77880,3288,32880,70296,13616,49992,69080,1456,14560,59432,77312,83776,62248,19304,20704,34704,2368,23680,64464,41464,69968,10336,17192,85752,82008,44568,14840,62232,19144,19104,18704,14704,60872,5544,55440,37392,29248,33976,81256,37048,25808,85744,81928,43768,6840,68400,80824,32728,68776,84584,70328,13936,53192,14912,62952,26344,4936,49360,62760,24424,71904,29696,38456,39888,54208,25072,78384,8328,83280,57288,55872,41712,72448,35136,6688,66880,65624,53064,13632,50152,70680,17456,2224,22240,50064,69800,8656,392,3920,39200,47328,42440,79728,21768,45344,22600,53664,19632,23984,67504,71864,29296,34456,86056,85048,74968,60336,184,1840,18400,11664,30472,46216,31320,54696,29952,41016,65488,51704,32,320,3200,32000,61496,11784,31672,58216,65152,48344,52600,8992,3752,37520,30528,46776,36920,24528,72944,40096,56288,45872,27880,20296,30624,47736,46520,34360,85096,75448,65136,48184,51000,79160,16088,74712,57776,60752,4344,43440,3560,35600,11328,27112,12616,39992,55248,35472,10048,14312,56952,52512,8112,81120,35688,12208,35912,14448,58312,66112,57944,62432,21144,39104,46368,32840,69896,9616,9992,13752,51352,82680,51288,82040,44888,18040,8064,80640,30888,50376,72920,39856,53888,21872,46384,33000,71496,25616,83824,62728,24104,68704,83864,63128,28104,22536,53024,13232,46152,30680,48296,52120,4192,41920,74528,55936,42352,78848,12968,43512,4280,42800,83328,57768,60672,3544,35440,9728,11112,24952,77184,82496,49448,63640,33224,73736,48016,49320,62360,20424,31904,60536,2184,21840,46064,29800,39496,50288,72040,31056,52056,3552,35520,10528,19112,18784,15504,68872,85544,79928,23768,65344,50264,71800,28656,28056,22056,48224,51400,83160,56088,43872,7880,78800,12488,38712,42448,79808,22568,53344,16432,78152,6008,60080,83792,62408,20904,36704,22368,51344,82600,50488,74040,51056,79720,21688,44544,14600,59832,81312,37608,31408,55576,38752,42848,83808,62568,22504,52704,10032,14152,55352,36512,20448,32144,62936,26184,3336,33360,75096,61616,12984,43672,5880,58800,70992,20576,33424,75736,68016,76984,80496,29448,35976,15088,64712,43944,8600,86000,84488,69368,4336,43360,2760,27600,17496,2624,26240,3896,38960,44928,18440,12064,34472,48,480,4800,48000,49160,60760,4424,44240,11560,29432,35816,13488,48712,56280,45792,27080,12296,36792,23248,60144,84432,68808,84904,73528,45936,28520,26696,8456,84560,70088,11536,29192,33416,75656,67216,68984,496,4960,49600,65160,48424,53400,16992,83752,62008,16904,82872,53208,15072,64552,42344,78768,12168,35512,10448,18312,10784,21672,44384,13000,43832,7480,74800,58656,69552,6176,61760,14424,58072,63712,33944,80936,33848,79976,24248,70144,12096,34792,3248,32480,66296,59784,80832,32808,69576,6416,64160,38424,39568,51008,79240,16888,82712,51608,85240,76888,79536,19848,26144,2936,29360,35096,6288,62880,25624,83904,63528,32104,62536,22184,49504,64200,38824,43568,4840,48400,53160,14592,59752,80512,29608,37576,31088,52376,6752,67520,72024,30896,50456,73720,47856,47720,46360,32760,69096,1616,16160,75432,64976,46584,35000,5328,53280,15792,71752,28176,23256,60224,85232,76808,78736,11848,32312,64616,42984,85168,76168,72336,34016,81656,41048,65808,54904,32032,61816,14984,63672,33544,76936,80016,24648,74144,52096,3952,39520,50528,74440,55056,33552,77016,80816,32648,67976,76584,76496,75616,66816,64984,46664,35800,13328,47112,40280,58128,64272,39544,50768,76840,79056,15048,64312,39944,54768,30672,48216,51320,82360,48088,50040,69560,6256,62560,22424,51904,2032,20320,30864,50136,70520,15856,72392,34576,1088,10880,22632,53984,22832,55984,42832,83648,60968,6504,65040,47224,41400,69328,3936,39360,48928,58440,67392,70744,18096,8624,72,720,7200,72000,30656,48056,49720,66360,60424,1064,10640,20232,29984,41336,68688,83704,61528,12104,34872,4048,40480,60128,84272,67208,68904,85864,83128,55768,40672,62048,17304,704,7040,70400,14656,60392,744,7440,74400,54656,29552,37016,25488,82544,49928,68440,81224,36728,22608,53744,20432,31984,61336,10184,15672,70552,16176,75592,66576,62584,22664,54304,26032,1816,18160,9264,6472,64720,44024,9400,7832,78320,7688,76880,79456,19048,18144,9104,4872,48720,56360,46592,35080,6128,61280,9624,10072,14552,59352,76512,75776,68416,80984,34328,84776,72248,33136,72856,39216,47488,44040,9560,9432,8152,81520,39688,52208,5072,50720,76360,74256,53216,15152,65352,50344,72600,36656,21888,46544,34600,1328,13280,46632,35480,10128,15112,64952,46344,32600,67496,71784,28496,26456,6056,60560,2424,24240,70064,11296,26792,9416,7992,79920,23688,64544,42264,77968,4168,41680,72128,31936,60856,5384,53840,21392,41584,71168,22336,51024,79400,18488,12544,39272,48048,49640,65560,52424,7232,72320,33856,80056,25048,78144,5928,59280,75792,68576,82584,50328,72440,35056,5888,58880,71792,28576,27256,14056,54392,26912,10616,19992,27584,17336,1024,10240,16232,76152,72176,32416,65656,53384,16832,82152,46008,29240,33896,80456,29048,31976,61256,9384,7672,76720,77856,3048,30480,46296,32120,62696,23784,65504,51864,1632,16320,77032,80976,34248,83976,64248,39304,48368,52840,11392,27752,19016,17824,5904,59040,73392,44576,14920,63032,27144,12936,43192,1080,10800,21832,45984,29000,31496,56456,47552,44680,15960,73432,44976,18920,16864,82472,49208,61240,9224,6072,60720,4024,40240,57728,60272,85712,81608,40568,61008,6904,69040,1056,10560,19432,21984,47504,44200,11160,25432,81984,44328,12440,38232,37648,31808,59576,78752,12008,33912,80616,30648,47976,48920,58360,66592,62744,24264,70304,13696,50792,77080,81456,39048,45808,27240,13896,52792,10912,22952,57184,54832,31312,54616,29152,33016,71656,27216,13656,50392,73080,41456,69888,9536,9192,5752,57520,58192,64912,45944,28600,27496,16456,78392,8408,84080,65288,49704,66200,58824,71232,22976,57424,57232,55312,36112,16448,78312,7608,76080,71456,25216,79824,22728,54944,32432,65816,54984,32832,69816,8816,1992,19920,26864,10136,15192,65752,54344,26432,5816,58160,64592,42744,82768,52168,4672,46720,36360,18928,16944,83272,57208,55072,33712,78616,10648,20312,30784,49336,62520,22024,47904,48200,51160,80760,32088,62376,20584,33504,76536,76016,70816,18816,15824,72072,31376,55256,35552,10848,22312,50784,77000,80656,31048,51976,2752,27520,16696,80792,32408,65576,52584,8832,2152,21520,42864,83968,64168,38504,40368,59008,73072,41376,69088,1536,15360,67432,71144,22096,48624,55400,36992,25248,80144,25928,776,7760,77600,488,4880,48800,57160,54592,28912,30616,47656,45720,26360,5096,50960,78760,12088,34712,2448,24480,72464,35296,8288,82880,53288,15872,72552,36176,17088,84712,71608,26736,8856,2392,23920,66864,65464,51464,83800,62488,21704,44704,16200,75832,68976,416,4160,41600,71328,23936,67024,67064,67464,71464,25296,80624,30728,48776,56920,52192,4912,49120,60360,424,4240,42400,79328,17768,5344,53440,17392,1584,15840,72232,32976,71256,23216,59824,81232,36808,23408,61744,14264,56472,47712,46280,31960,61096,7784,77840,2888,28880,30296,44456,13720,51032,79480,19288,20544,33104,72536,36016,15488,68712,83944,63928,36104,16368,77512,85776,82248,46968,38840,43728,6440,64400,40824,63568,32504,66536,62184,18664,14304,56872,51712,112,1120,11200,25832,85984,84328,67768,74504,55696,39952,54848,31472,56216,45152,20680,34464,86136,85848,82968,54168,24672,74384,54496,27952,21016,37824,33568,77176,82416,48648,55640,39392,49248,61640,13224,46072,29880,40296,58288,65872,55544,38432,39648,51808,1072,10720,21032,37984,35168,7008,70080,11456,28392,25416,81824,42728,82608,50568,74840,59056,73552,46176,30920,50696,76120,71856,29216,33656,78056,5048,50480,73960,50256,71720,27856,20056,28224,23736,65024,47064,39800,53328,16272,76552,76176,72416,34816,3488,34880,4128,41280,68128,78104,5528,55280,35792,13248,46312,32280,64296,39784,53168,14672,60552,2344,23440,62064,17464,2304,23040,58064,63632,33144,72936,40016,55488,37872,34048,81976,44248,11640,30232,43816,7320,73200,42656,81888,43368,2840,28400,25496,82624,50728,76440,75056,61216,8984,3672,36720,22528,52944,12432,38152,36848,23808,65744,54264,25632,83984,64328,40104,56368,46672,35880,14128,55112,34112,82616,50648,75640,67056,67384,70664,17296,624,6240,62400,20824,35904,14368,57512,58112,64112,37944,34768,3008,30080,42296,78288,7368,73680,47456,43720,6360,63600,32824,69736,8016,80160,26088,2376,23760,65264,49464,63800,34824,3568,35680,12128,35112,6448,64480,41624,71568,26336,4856,48560,54760,30592,47416,43320,2360,23600,63664,33464,76136,72016,30816,49656,65720,54024,23232,59984,82832,52808,11072,24552,73184,42496,80288,27368,15176,65592,52744,10432,18152,9184,5672,56720,50192,71080,21456,42224,77568,168,1680,16800,81832,42808,83408,58568,68672,83544,59928,82272,47208,41240,67728,74104,51696,86120,85688,81368,38168,37008,25408,81744,41928,74608,56736,50352,72680,37456,29888,40376,59088,73872,49376,62920,26024,1736,17360,1264,12640,40232,57648,59472,77712,1608,16080,74632,56976,52752,10512,18952,17184,85672,81208,36568,21008,37744,32768,69176,2416,24160,69264,3296,32960,71096,21616,43824,7400,74000,50656,75720,67856,75384,64496,41784,73168,42336,78688,11368,27512,16616,79992,24408,71744,28096,22456,52224,5232,52320,6192,61920,16024,74072,51376,82920,53688,19872,26384,5336,53360,16592,79752,22008,47744,46600,35160,6928,69280,3456,34560,928,9280,6632,66320,60024,83232,56808,51072,79880,23288,60544,2264,22640,54064,23632,63984,36664,21968,47344,42600,81328,37768,33008,71576,26416,5656,56560,48592,55080,33792,79416,18648,14144,55272,35712,12448,38312,38448,39808,53408,17072,84552,70008,10736,21192,39584,51168,80840,32888,70376,14416,57992,62912,25944,936,9360,7432,74320,53856,21552,43184,1000
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 13 July 2018