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113476032 = 263397677
BaseRepresentation
bin1101100001110…
…00000111000000
321220112011212000
412300320013000
5213022213112
615132104000
72545346625
oct660700700
9256464760
10113476032
115906624a
1232005000
131a6815a7
14110dc34c
159e677dc
hex6c381c0

113476032 has 112 divisors (see below), whose sum is σ = 337535520. Its totient is φ = 37380096.

The previous prime is 113476009. The next prime is 113476039. The reversal of 113476032 is 230674311.

113476032 is a `hidden beast` number, since 1 + 13 + 47 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113475987 and 113476005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113476039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167278 + ... + 167954.

It is an arithmetic number, because the mean of its divisors is an integer number (3013710).

Almost surely, 2113476032 is an apocalyptic number.

113476032 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 113476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168767760).

113476032 is an abundant number, since it is smaller than the sum of its proper divisors (224059488).

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

113476032 is an equidigital number, since it uses as much as digits as its factorization.

113476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 113476032 is about 10652.5129429633. The cubic root of 113476032 is about 484.1367461890.

The spelling of 113476032 in words is "one hundred thirteen million, four hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 677 776 864 873 1164 1354 1552 1728 1746 2031 2328 2619 2708 3104 3492 4062 4656 5238 5416 6093 6208 6984 8124 9312 10476 10832 12186 13968 16248 18279 18624 20952 21664 24372 27936 32496 36558 41904 43328 48744 55872 64992 65669 73116 83808 97488 129984 131338 146232 167616 194976 197007 262676 292464 389952 394014 525352 584928 591021 788028 1050704 1169856 1182042 1576056 1773063 2101408 2364084 3152112 3546126 4202816 4728168 6304224 7092252 9456336 12608448 14184504 18912672 28369008 37825344 56738016 113476032