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113462664 = 23375911447
BaseRepresentation
bin1101100001101…
…00110110001000
321220111111111220
412300310312020
5213021301124
615131522040
72545262640
oct660646610
9256444456
10113462664
11590571a7
1231bb9320
131a678493
14110d7520
159e63879
hex6c34d88

113462664 has 64 divisors (see below), whose sum is σ = 329702400. Its totient is φ = 31865664.

The previous prime is 113462663. The next prime is 113462669. The reversal of 113462664 is 466264311.

It is a super-2 number, since 2×1134626642 = 25747552243953792, which contains 22 as substring.

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 (113462663) 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, 4189 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (5151600).

Almost surely, 2113462664 is an apocalyptic number.

113462664 is a gapful number since it is divisible by the number (14) 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 113462664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164851200).

113462664 is an abundant number, since it is smaller than the sum of its proper divisors (216239736).

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

113462664 is a wasteful number, since it uses less digits than its factorization.

113462664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522 (or 11518 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 113462664 is about 10651.8854669021. The cubic root of 113462664 is about 484.1177342618.

The spelling of 113462664 in words is "one hundred thirteen million, four hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 11447 22894 34341 45788 68682 80129 91576 137364 160258 240387 274728 320516 480774 641032 675373 961548 1350746 1923096 2026119 2701492 4052238 4727611 5402984 8104476 9455222 14182833 16208952 18910444 28365666 37820888 56731332 113462664