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113494176 = 2533177727
BaseRepresentation
bin1101100001111…
…00100010100000
321220120002202000
412300330202200
5213023303201
615132324000
72545453545
oct660744240
9256502660
10113494176
1159078944
1232013600
131a689923
1411104bcc
159e6cd86
hex6c3c8a0

113494176 has 96 divisors (see below), whose sum is σ = 350542080. Its totient is φ = 35601408.

The previous prime is 113494153. The next prime is 113494187. The reversal of 113494176 is 671494311.

It is a tau number, because it is divible by the number of its divisors (96).

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 self number, because there is not a number n which added to its sum of digits gives 113494176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10825 + ... + 18551.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2113494176 is an apocalyptic number.

113494176 is a gapful number since it is divisible by the number (16) 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 113494176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

113494176 is an abundant number, since it is smaller than the sum of its proper divisors (237047904).

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

113494176 is a wasteful number, since it uses less digits than its factorization.

113494176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7749 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113494176 is about 10653.3645389614. The cubic root of 113494176 is about 484.1625481398.

The spelling of 113494176 in words is "one hundred thirteen million, four hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 7727 14688 15454 23181 30908 46362 61816 69543 92724 123632 131359 139086 185448 208629 247264 262718 278172 370896 394077 417258 525436 556344 741792 788154 834516 1050872 1112688 1182231 1576308 1669032 2101744 2225376 2364462 3152616 3338064 3546693 4203488 4728924 6305232 6676128 7093386 9457848 12610464 14186772 18915696 28373544 37831392 56747088 113494176