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117016368 = 2437536571
BaseRepresentation
bin1101111100110…
…00011100110000
322011012001021120
412332120130300
5214424010433
615340022240
72620423410
oct676303460
9264161246
10117016368
1160064147
1233231980
131b320b71
1411780640
15a4167b3
hex6f98730

117016368 has 80 divisors (see below), whose sum is σ = 352048896. Its totient is φ = 32797440.

The previous prime is 117016357. The next prime is 117016369. The reversal of 117016368 is 863610711.

It is a super-2 number, since 2×1170163682 = 27385660759822848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117016369) 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, 14523 + ... + 21093.

Almost surely, 2117016368 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 117016368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176024448).

117016368 is an abundant number, since it is smaller than the sum of its proper divisors (235032528).

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

117016368 is a wasteful number, since it uses less digits than its factorization.

117016368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 117016368 is about 10817.4104109995. The cubic root of 117016368 is about 489.1201314079.

The spelling of 117016368 in words is "one hundred seventeen million, sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 6571 8904 13142 17808 19713 26284 39426 45997 52568 78852 91994 105136 137991 157704 183988 275982 315408 348263 367976 551964 696526 735952 1044789 1103928 1393052 2089578 2207856 2437841 2786104 4179156 4875682 5572208 7313523 8358312 9751364 14627046 16716624 19502728 29254092 39005456 58508184 117016368