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113688656 = 24173197139
BaseRepresentation
bin1101100011011…
…00000001010000
321220220222111222
412301230001100
5213101014111
615140424212
72550223544
oct661540120
9256828458
10113688656
11591a0a74
12320a8068
131a7272c3
1411155a24
159eaa7db
hex6c6c050

113688656 has 80 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 50872320.

The previous prime is 113688649. The next prime is 113688661. The reversal of 113688656 is 656886311.

It is a super-2 number, since 2×1136886562 = 25850221006172672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817835 + ... + 817973.

It is an arithmetic number, because the mean of its divisors is an integer number (3062304).

Almost surely, 2113688656 is an apocalyptic number.

113688656 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 113688656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

113688656 is an abundant number, since it is smaller than the sum of its proper divisors (131295664).

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

113688656 is a wasteful number, since it uses less digits than its factorization.

113688656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 113688656 is about 10662.4882649408. The cubic root of 113688656 is about 484.4389388283.

The spelling of 113688656 in words is "one hundred thirteen million, six hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 97 124 136 139 194 248 272 278 388 496 527 556 776 1054 1112 1552 1649 2108 2224 2363 3007 3298 4216 4309 4726 6014 6596 8432 8618 9452 12028 13192 13483 17236 18904 24056 26384 26966 34472 37808 48112 51119 53932 68944 73253 102238 107864 146506 204476 215728 229211 293012 408952 417973 458422 586024 817904 835946 916844 1172048 1671892 1833688 3343784 3667376 6687568 7105541 14211082 28422164 56844328 113688656