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113699232 = 2532419629
BaseRepresentation
bin1101100011011…
…10100110100000
321220221112000200
412301232212200
5213101333412
615140545200
72550266433
oct661564640
9256845020
10113699232
11591a8a09
12320b2200
131a72c06a
141115981a
159ead9dc
hex6c6e9a0

113699232 has 72 divisors (see below), whose sum is σ = 331252740. Its totient is φ = 36971520.

The previous prime is 113699219. The next prime is 113699237. The reversal of 113699232 is 232996311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 113294736 + 404496 = 10644^2 + 636^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113699237) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 16622.

Almost surely, 2113699232 is an apocalyptic number.

113699232 is a gapful number since it is divisible by the number (12) 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 113699232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165626370).

113699232 is an abundant number, since it is smaller than the sum of its proper divisors (217553508).

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

113699232 is a wasteful number, since it uses less digits than its factorization.

113699232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9686 (or 9675 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 113699232 is about 10662.9841976812. The cubic root of 113699232 is about 484.4539601668.

The spelling of 113699232 in words is "one hundred thirteen million, six hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 9629 11808 19258 28887 38516 57774 77032 86661 115548 154064 173322 231096 308128 346644 394789 462192 693288 789578 924384 1184367 1386576 1579156 2368734 2773152 3158312 3553101 4737468 6316624 7106202 9474936 12633248 14212404 18949872 28424808 37899744 56849616 113699232