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113986116 = 22341392531
BaseRepresentation
bin1101100101101…
…00101001000100
321221111002120000
412302310221010
5213140023431
615151041300
72552603016
oct662645104
9257432500
10113986116
1159384502
1232210230
131a7cc80a
14111d21b6
15a0189e6
hex6cb4a44

113986116 has 60 divisors (see below), whose sum is σ = 300244560. Its totient is φ = 37707120.

The previous prime is 113986097. The next prime is 113986121. The reversal of 113986116 is 611689311.

It is a happy number.

113986116 is a `hidden beast` number, since 1 + 1 + 39 + 8 + 611 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43771 + ... + 46301.

It is an arithmetic number, because the mean of its divisors is an integer number (5004076).

Almost surely, 2113986116 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 113986116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150122280).

113986116 is an abundant number, since it is smaller than the sum of its proper divisors (186258444).

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

113986116 is a wasteful number, since it uses less digits than its factorization.

113986116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 113986116 is about 10676.4280543635. The cubic root of 113986116 is about 484.8610733274.

The spelling of 113986116 in words is "one hundred thirteen million, nine hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 556 834 1251 1668 2502 2531 3753 5004 5062 7506 7593 10124 11259 15012 15186 22518 22779 30372 45036 45558 68337 91116 136674 205011 273348 351809 410022 703618 820044 1055427 1407236 2110854 3166281 4221708 6332562 9498843 12665124 18997686 28496529 37995372 56993058 113986116