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116918112 = 25317312311
BaseRepresentation
bin1101111100000…
…00011101100000
322011000001111110
412332000131200
5214412334422
615333543320
72616534063
oct676003540
9264001443
10116918112
115aaa7343
12331a4b40
131b2b821c
14117568da
15a3e760c
hex6f80760

116918112 has 96 divisors (see below), whose sum is σ = 335591424. Its totient is φ = 35481600.

The previous prime is 116918063. The next prime is 116918147. The reversal of 116918112 is 211819611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 116918112.

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, 49437 + ... + 51747.

It is an arithmetic number, because the mean of its divisors is an integer number (3495744).

Almost surely, 2116918112 is an apocalyptic number.

116918112 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 116918112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167795712).

116918112 is an abundant number, since it is smaller than the sum of its proper divisors (218673312).

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

116918112 is a wasteful number, since it uses less digits than its factorization.

116918112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its digits is 864, while the sum is 30.

The square root of 116918112 is about 10812.8678896951. The cubic root of 116918112 is about 488.9831920319.

The spelling of 116918112 in words is "one hundred sixteen million, nine hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2311 2976 3162 4216 4622 6324 6933 8432 9244 12648 13866 16864 18488 25296 27732 36976 39287 50592 55464 71641 73952 78574 110928 117861 143282 157148 214923 221856 235722 286564 314296 429846 471444 573128 628592 859692 942888 1146256 1217897 1257184 1719384 1885776 2292512 2435794 3438768 3653691 3771552 4871588 6877536 7307382 9743176 14614764 19486352 29229528 38972704 58459056 116918112