About the Number 26,000 (twenty-six thousand)

The DJIA topped 26,000 for the first time on 16 January 2018.

MathBabbler Number Analyst (MBNA) output:
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26000 is natural, counting, whole, integer
26000 is even (not odd)
26000 proper divisors are: 1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,
                           80,100,104,125,130,200,208,250,260,325,
                           400,500,520,650,1000,1040,1300,1625,2000,
                           2600,3250,5200,6500,13000,
26000 is refactorable (evenly divisable  by # of divisors)
26000 has 39 proper divisors
26000 is abundant (sum of divisors is 41704; ratio: 1.604)
26000 is unhappy
26000 is not a Squarefree Number: 4,16,25,100,400,
26000 is Harshad (Niven) number
26000 is composite (not prime)
26000 has the prime factors: 2*2*2*2*5*5*5*13 (sum=36)
26000 is a 13-smooth number
26000 is *not* arithmetic (A003601)
26000 is the sum of 62 consecutive primes
26000 = 233 + 239 + 241 + 251 + 257 + 263 + 269 + 271 + 277 + 
        281 + 283 + 293 + 307 + 311 + 313 + 317 + 331 + 337 + 
        347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 
        397 + 401 + 409 + 419 + 421 + 431 + 433 + 439 + 443 + 
        449 + 457 + 461 + 463 + 467 + 479 + 487 + 491 + 499 + 
        503 + 509 + 521 + 523 + 541 + 547 + 557 + 563 + 569 + 
        571 + 577 + 587 + 593 + 599 + 601 + 607 + 613
26000 is in A038853 (multiple of 5 & diff. of 2 cubes 30^3-10^3)
26000 in octal is 062620
26000 in hexadecimal is 0x6590
26000 in binary is 110010110010000 (is evil)
26000 nearest square numbers: -79...244 (25921...26244 [162])
sqrt(26000) = 161.245
ln(26000) = 10.1659
log(26000) = 4.41497
26000 is an apocalyptic power (2^26000 contains 666)
26000! is inf
26000 is 8276.06 Pi years
26000 is 1300 scoreyears
26000 is 6501^2 - 6499^2 and 2 * (6501 + 6499)
26000 is a multiple of 2 & it contains a 2 (A121022)
26000 is a multiple of 26 & it contains a 26
26000 is a multiple of 260 & it contains a 260
26000 is a multiple of 2600 & it contains a 2600
                          ______
26000 reciprocal is 0.0000384615
remainders: 
1,10,100,1000,10000,22000,12000,16000,4000,14000,10000

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 17 January 2018

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