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117557256 = 23319713631
BaseRepresentation
bin1110000000111…
…00100000001000
322012012112020110
413000130200020
5220043313011
615355354320
72625135345
oct700344010
9265175213
10117557256
11603a3563
12334529a0
131b48010b
14118817cc
15a4c1ba6
hex701c808

117557256 has 64 divisors (see below), whose sum is σ = 313804800. Its totient is φ = 36590400.

The previous prime is 117557249. The next prime is 117557257. The reversal of 117557256 is 652755711.

It is not an unprimeable number, because it can be changed into a prime (117557257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30561 + ... + 34191.

It is an arithmetic number, because the mean of its divisors is an integer number (4903200).

Almost surely, 2117557256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117557256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156902400).

117557256 is an abundant number, since it is smaller than the sum of its proper divisors (196247544).

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

117557256 is a wasteful number, since it uses less digits than its factorization.

117557256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3726 counting only the distinct ones).

The product of its digits is 73500, while the sum is 39.

The square root of 117557256 is about 10842.3823950274. The cubic root of 117557256 is about 489.8725977259.

The spelling of 117557256 in words is "one hundred seventeen million, five hundred fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 2698 3631 4047 5396 7262 8094 10792 10893 14524 16188 21786 29048 32376 43572 68989 87144 137978 206967 257801 275956 413934 515602 551912 773403 827868 1031204 1546806 1655736 2062408 3093612 4898219 6187224 9796438 14694657 19592876 29389314 39185752 58778628 117557256