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113656256 = 2671072371
BaseRepresentation
bin1101100011001…
…00000111000000
321220212100001222
412301210013000
5213044000011
615140014212
72550030230
oct661440700
9256770058
10113656256
115917969a
1232091368
131a71562c
1411147cc0
159ea0ddb
hex6c641c0

113656256 has 56 divisors (see below), whose sum is σ = 260274816. Its totient is φ = 48234240.

The previous prime is 113656253. The next prime is 113656259. The reversal of 113656256 is 652656311.

It is an interprime number because it is at equal distance from previous prime (113656253) and next prime (113656259).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113656253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46751 + ... + 49121.

Almost surely, 2113656256 is an apocalyptic number.

113656256 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 113656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130137408).

113656256 is an abundant number, since it is smaller than the sum of its proper divisors (146618560).

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

113656256 is a wasteful number, since it uses less digits than its factorization.

113656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2487 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 113656256 is about 10660.9688115105. The cubic root of 113656256 is about 484.3929145563.

The spelling of 113656256 in words is "one hundred thirteen million, six hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1498 1712 2371 2996 3424 4742 5992 6848 9484 11984 16597 18968 23968 33194 37936 47936 66388 75872 132776 151744 253697 265552 507394 531104 1014788 1062208 1775879 2029576 3551758 4059152 7103516 8118304 14207032 16236608 28414064 56828128 113656256