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113696064 = 2632197389
BaseRepresentation
bin1101100011011…
…01110101000000
321220221100200100
412301231311000
5213101233224
615140522400
72550254256
oct661556500
9256840610
10113696064
11591a6599
12320b0400
131a72a7a1
14111585d6
159eacac9
hex6c6dd40

113696064 has 42 divisors (see below), whose sum is σ = 325890890. Its totient is φ = 37898496.

The previous prime is 113696059. The next prime is 113696071. The reversal of 113696064 is 460696311.

113696064 is a `hidden beast` number, since 11 + 36 + 9 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112529664 + 1166400 = 10608^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98119 + ... + 99270.

Almost surely, 2113696064 is an apocalyptic number.

It is an amenable number.

113696064 is an abundant number, since it is smaller than the sum of its proper divisors (212194826).

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

113696064 is a wasteful number, since it uses less digits than its factorization.

113696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197407 (or 197394 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 113696064 is about 10662.8356453619. The cubic root of 113696064 is about 484.4494606806.

The spelling of 113696064 in words is "one hundred thirteen million, six hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 197389 394778 592167 789556 1184334 1579112 1776501 2368668 3158224 3553002 4737336 6316448 7106004 9474672 12632896 14212008 18949344 28424016 37898688 56848032 113696064