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116512656 = 24313253271
BaseRepresentation
bin1101111000111…
…01011110010000
322010020110022120
412330131132100
5214311401111
615321134240
72613225021
oct674353620
9263213276
10116512656
115a84a757
123302a380
131b1a5800
141168cc48
15a367406
hex6f1d790

116512656 has 120 divisors (see below), whose sum is σ = 333300096. Its totient is φ = 35043840.

The previous prime is 116512651. The next prime is 116512699. The reversal of 116512656 is 656215611.

It is not an unprimeable number, because it can be changed into a prime (116512651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429801 + ... + 430071.

Almost surely, 2116512656 is an apocalyptic number.

116512656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116512656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166650048).

116512656 is an abundant number, since it is smaller than the sum of its proper divisors (216787440).

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

116512656 is a wasteful number, since it uses less digits than its factorization.

116512656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 116512656 is about 10794.1028344184. The cubic root of 116512656 is about 488.4172951287.

The spelling of 116512656 in words is "one hundred sixteen million, five hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 169 208 212 271 312 318 338 424 507 542 624 636 676 689 813 848 1014 1084 1272 1352 1378 1626 2028 2067 2168 2544 2704 2756 3252 3523 4056 4134 4336 5512 6504 7046 8112 8268 8957 10569 11024 13008 14092 14363 16536 17914 21138 26871 28184 28726 33072 35828 42276 43089 45799 53742 56368 57452 71656 84552 86178 91598 107484 114904 137397 143312 169104 172356 183196 186719 214968 229808 274794 344712 366392 373438 429936 549588 560157 689424 732784 746876 1099176 1120314 1493752 2198352 2240628 2427347 2987504 4481256 4854694 7282041 8962512 9709388 14564082 19418776 29128164 38837552 58256328 116512656