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116136504 = 2335115431
BaseRepresentation
bin1101110110000…
…01101000111000
322002112100100000
412323001220320
5214212332004
615305113000
72610100251
oct673015070
9262470300
10116136504
115a613090
1232a88760
131b0a3533
14115d1b28
15a2e0c39
hex6ec1a38

116136504 has 96 divisors (see below), whose sum is σ = 355904640. Its totient is φ = 35186400.

The previous prime is 116136491. The next prime is 116136521. The reversal of 116136504 is 405631611.

116136504 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 3 + 650 + 4 = 666.

It is a super-2 number, since 2×1161365042 = 26975375122684032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18669 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (3707340).

Almost surely, 2116136504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116136504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177952320).

116136504 is an abundant number, since it is smaller than the sum of its proper divisors (239768136).

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

116136504 is a wasteful number, since it uses less digits than its factorization.

116136504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5447 counting only the distinct ones).

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

The square root of 116136504 is about 10776.6647901844. The cubic root of 116136504 is about 487.8911228034.

The spelling of 116136504 in words is "one hundred sixteen million, one hundred thirty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 5431 7128 10692 10862 16293 21384 21724 32586 43448 48879 59741 65172 97758 119482 130344 146637 179223 195516 238964 293274 358446 391032 439911 477928 537669 586548 716892 879822 1075338 1173096 1319733 1433784 1613007 1759644 2150676 2639466 3226014 3519288 4301352 4839021 5278932 6452028 9678042 10557864 12904056 14517063 19356084 29034126 38712168 58068252 116136504