About the Number 64,064 (sixty-four thousand sixty-four)

The MathBabbler's TheBuick had a POM (Palindromic Odometer Moment) at 64,046, it was noticed that there was already a nBAB for TheBuick's next POM at 64,146. [Note: nBABs are usually created when POMs occur.] MathBabbler thought swapping the last two digits of 64,146 result in the interesting number 64,164. It was decided that a nBAB for the number 64,164 would be created when the 64,146 POM took place. A couple of days later, while driving TheBuick, MathBabbler noticed the odometer reading 64,064, so he took a picture not realizing it was the number 64,164 that he was interested in.

Some interesting arithmetic using the number 64,064.

   64064 = 10^3 * 8^2 + 8^2 * 10^0
   64064 = 8^2(10^3 + 10^0) = 8^2(1001)
MathBabbler Number Analyst (MBNA) output:
=========================================
64064 is a natural, whole, integer
64064 is even
64064 proper divisors are: 1,2,4,7,8,11,13,14,16,22,26,28,32,44,52,
                           56,64,77,88,91,104,112,143,154,176,182,
                           208,224,286,308,352,364,416,448,572,616,
                           704,728,832,1001,1144,1232,1456,2002,2288,
                           2464,2912,4004,4576,4928,5824,8008,9152,
                           16016,32032,
64064 is refactorable (evenly divisable  by # of divisors)
64064 has 55 proper divisors
64064 is abundant (sum of divisors is 106624; ratio: 1.66434)
64064 is unhappy
64064 is not a Squarefree Number: 4,16,64,
64064 is composite (not prime)
64064 has the prime factors: 2*2*2*2*2*2*7*11*13 (sum=43)
64064 is Arithmetic (A003601)
64064 in octal is 0175100
64064 in hexadecimal is 0xfa40
64064 in binary is 1111101001000000 (is odious)
64064 nearest square numbers: -55...452 (64009...64516 [254])
sqrt(64064) = 253.109
ln(64064) = 11.0676
log(64064) = 4.80661
64064 reciprocal is .00001560939060939060939060939060
64064 is an apocalyptic power
64064! is inf
64064 is 20392.2 Pi years
64064 is 3203 score and 4 years
64064 is 16017^2 - 16015^2 and 2 * (16017 + 16015)
64064 is a multiple of 4 & it contains a 4 (A121024)
64064 is a multiple of 64 & it contains a 64

The reciprocal of 64064 is interesting.

     1             ______
   ----- = 0.000015609390 
   64064

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 11 May 2015

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This work is licensed under a Creative Commons Attribution 3.0 United States License.