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116508132 = 223413139199
BaseRepresentation
bin1101111000111…
…00010111100100
322010020020010000
412330130113210
5214311230012
615321101300
72613205566
oct674342744
9263206100
10116508132
115a847314
1233027830
131b1a3730
141168b336
15a365ddc
hex6f1c5e4

116508132 has 120 divisors (see below), whose sum is σ = 332024000. Its totient is φ = 35411904.

The previous prime is 116508131. The next prime is 116508181. The reversal of 116508132 is 231805611.

116508132 is a `hidden beast` number, since 1 + 1 + 650 + 8 + 1 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116508096 and 116508105.

It is not an unprimeable number, because it can be changed into a prime (116508131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 585369 + ... + 585567.

Almost surely, 2116508132 is an apocalyptic number.

116508132 is a gapful number since it is divisible by the number (12) 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 116508132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166012000).

116508132 is an abundant number, since it is smaller than the sum of its proper divisors (215515868).

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

116508132 is a wasteful number, since it uses less digits than its factorization.

116508132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116508132 is about 10793.8932735135. The cubic root of 116508132 is about 488.4109735595.

The spelling of 116508132 in words is "one hundred sixteen million, five hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 139 156 162 199 234 278 324 351 398 417 468 556 597 702 796 834 1053 1194 1251 1404 1668 1791 1807 2106 2388 2502 2587 3582 3614 3753 4212 5004 5174 5373 5421 7164 7228 7506 7761 10348 10746 10842 11259 15012 15522 16119 16263 21492 21684 22518 23283 27661 31044 32238 32526 45036 46566 48789 55322 64476 65052 69849 82983 93132 97578 110644 139698 146367 165966 195156 209547 248949 279396 292734 331932 359593 419094 497898 585468 719186 746847 838188 995796 1078779 1438372 1493694 2157558 2240541 2987388 3236337 4315116 4481082 6472674 8962164 9709011 12945348 19418022 29127033 38836044 58254066 116508132