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113418816 = 263784389
BaseRepresentation
bin1101100001010…
…10001001000000
321220102021100220
412300222021000
5213013400231
615130543040
72545021050
oct660521100
9256367326
10113418816
1159027265
1231b97a80
131a661534
14110c5560
159e55896
hex6c2a240

113418816 has 56 divisors (see below), whose sum is σ = 342960960. Its totient is φ = 32404992.

The previous prime is 113418803. The next prime is 113418817. The reversal of 113418816 is 618814311.

It is a happy number.

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

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 (113418817) 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, 40851 + ... + 43538.

Almost surely, 2113418816 is an apocalyptic number.

113418816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113418816 is an abundant number, since it is smaller than the sum of its proper divisors (229542144).

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

113418816 is an equidigital number, since it uses as much as digits as its factorization.

113418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84411 (or 84401 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 113418816 is about 10649.8270408491. The cubic root of 113418816 is about 484.0553632910.

The spelling of 113418816 in words is "one hundred thirteen million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 84389 168778 253167 337556 506334 590723 675112 1012668 1181446 1350224 1772169 2025336 2362892 2700448 3544338 4050672 4725784 5400896 7088676 8101344 9451568 14177352 16202688 18903136 28354704 37806272 56709408 113418816