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113461056 = 2632281701
BaseRepresentation
bin1101100001101…
…00011101000000
321220111102022100
412300310131000
5213021223211
615131510400
72545255152
oct660643500
9256442270
10113461056
1159055a75
1231bb8400
131a677827
14110d6ad2
159e63156
hex6c34740

113461056 has 84 divisors (see below), whose sum is σ = 326838564. Its totient is φ = 37632000.

The previous prime is 113461039. The next prime is 113461081. The reversal of 113461056 is 650164311.

113461056 is a `hidden beast` number, since 11 + 34 + 610 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 25401600 = 9384^2 + 5040^2 .

It is a super-2 number, since 2×1134610562 = 25746822457270272, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 161506 + ... + 162206.

Almost surely, 2113461056 is an apocalyptic number.

113461056 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 113461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163419282).

113461056 is an abundant number, since it is smaller than the sum of its proper divisors (213377508).

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

113461056 is a wasteful number, since it uses less digits than its factorization.

113461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113461056 is about 10651.8099870398. The cubic root of 113461056 is about 484.1154472687.

The spelling of 113461056 in words is "one hundred thirteen million, four hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 562 576 701 843 1124 1402 1686 2103 2248 2529 2804 3372 4206 4496 5058 5608 6309 6744 8412 8992 10116 11216 12618 13488 16824 17984 20232 22432 25236 26976 33648 40464 44864 50472 53952 67296 80928 100944 134592 161856 196981 201888 393962 403776 590943 787924 1181886 1575848 1772829 2363772 3151696 3545658 4727544 6303392 7091316 9455088 12606784 14182632 18910176 28365264 37820352 56730528 113461056