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117256464 = 24331320879
BaseRepresentation
bin1101111110100…
…11000100010000
322011122020122000
412333103010100
5220004201324
615345114000
72622443403
oct677230420
9264566560
10117256464
1160208576
1233328900
131b3a6230
1411803d3a
15a4629c9
hex6fd3110

117256464 has 80 divisors (see below), whose sum is σ = 362476800. Its totient is φ = 36077184.

The previous prime is 117256439. The next prime is 117256471. The reversal of 117256464 is 464652711.

117256464 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 5 + 646 + 4 = 666.

It is a super-3 number, since 3×1172564643 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4824 + ... + 16055.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2117256464 is an apocalyptic number.

It is an amenable number.

117256464 is an abundant number, since it is smaller than the sum of its proper divisors (245220336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117256464 is a wasteful number, since it uses less digits than its factorization.

117256464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20909 (or 20897 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 117256464 is about 10828.5023895274. The cubic root of 117256464 is about 489.4544309640.

The spelling of 117256464 in words is "one hundred seventeen million, two hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 20879 41758 62637 83516 125274 167032 187911 250548 271427 334064 375822 501096 542854 563733 751644 814281 1002192 1085708 1127466 1503288 1628562 2171416 2254932 2442843 3006576 3257124 4342832 4509864 4885686 6514248 7328529 9019728 9771372 13028496 14657058 19542744 29314116 39085488 58628232 117256464