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113656032 = 2532756377
BaseRepresentation
bin1101100011001…
…00000011100000
321220212022202200
412301210003200
5213043443112
615140013200
72550026460
oct661440340
9256768680
10113656032
1159179506
1232091200
131a7154b9
1411147ba0
159ea0cdc
hex6c640e0

113656032 has 72 divisors (see below), whose sum is σ = 369388656. Its totient is φ = 32472576.

The previous prime is 113656031. The next prime is 113656051. The reversal of 113656032 is 230656311.

113656032 is a `hidden beast` number, since 1 + 1 + 3 + 656 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 113655987 and 113656005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113656031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26173 + ... + 30204.

It is an arithmetic number, because the mean of its divisors is an integer number (5130398).

Almost surely, 2113656032 is an apocalyptic number.

113656032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113656032 is an abundant number, since it is smaller than the sum of its proper divisors (255732624).

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

113656032 is a wasteful number, since it uses less digits than its factorization.

113656032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56400 (or 56389 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 113656032 is about 10660.9583058935. The cubic root of 113656032 is about 484.3925963334.

The spelling of 113656032 in words is "one hundred thirteen million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 56377 112754 169131 225508 338262 394639 451016 507393 676524 789278 902032 1014786 1183917 1353048 1578556 1804064 2029572 2367834 2706096 3157112 3551751 4059144 4735668 5412192 6314224 7103502 8118288 9471336 12628448 14207004 16236576 18942672 28414008 37885344 56828016 113656032