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116662656 = 2731171389
BaseRepresentation
bin1101111010000…
…10000110000000
322010112002002010
412331002012000
5214331201111
615324252520
72614421235
oct675020600
9263462063
10116662656
115a942420
12330a1140
131b228b76
14116cb78c
15a396aa6
hex6f42180

116662656 has 128 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 34764800.

The previous prime is 116662627. The next prime is 116662681. The reversal of 116662656 is 656266611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1166626562 = 27220350609948672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299710 + ... + 300098.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2116662656 is an apocalyptic number.

116662656 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 116662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

116662656 is an abundant number, since it is smaller than the sum of its proper divisors (227036544).

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

116662656 is a wasteful number, since it uses less digits than its factorization.

116662656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 116662656 is about 10801.0488379601. The cubic root of 116662656 is about 488.6268036333.

The spelling of 116662656 in words is "one hundred sixteen million, six hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 264 284 352 384 389 426 528 568 704 778 781 852 1056 1136 1167 1408 1556 1562 1704 2112 2272 2334 2343 3112 3124 3408 4224 4279 4544 4668 4686 6224 6248 6816 8558 9088 9336 9372 12448 12496 12837 13632 17116 18672 18744 24896 24992 25674 27264 27619 34232 37344 37488 49792 49984 51348 55238 68464 74688 74976 82857 99968 102696 110476 136928 149376 149952 165714 205392 220952 273856 299904 303809 331428 410784 441904 547712 607618 662856 821568 883808 911427 1215236 1325712 1643136 1767616 1822854 2430472 2651424 3535232 3645708 4860944 5302848 7291416 9721888 10605696 14582832 19443776 29165664 38887552 58331328 116662656