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113666112 = 263379397
BaseRepresentation
bin1101100011001…
…10100001000000
321220212211121000
412301212201000
5213044303422
615140132000
72550101040
oct661464100
9256784530
10113666112
115918603a
1232097000
131a719c71
141114b720
159ea3cac
hex6c66840

113666112 has 112 divisors (see below), whose sum is σ = 381934720. Its totient is φ = 32472576.

The previous prime is 113666099. The next prime is 113666123. The reversal of 113666112 is 211666311.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

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, 7398 + ... + 16794.

Almost surely, 2113666112 is an apocalyptic number.

113666112 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 113666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190967360).

113666112 is an abundant number, since it is smaller than the sum of its proper divisors (268268608).

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

113666112 is an equidigital number, since it uses as much as digits as its factorization.

113666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425 (or 9409 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 113666112 is about 10661.4310484100. The cubic root of 113666112 is about 484.4069159518.

The spelling of 113666112 in words is "one hundred thirteen million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 9397 12096 18794 28191 37588 56382 65779 75176 84573 112764 131558 150352 169146 197337 225528 253719 263116 300704 338292 394674 451056 507438 526232 592011 601408 676584 789348 902112 1014876 1052464 1184022 1353168 1578696 1776033 1804224 2029752 2104928 2368044 2706336 3157392 3552066 4059504 4209856 4736088 5412672 6314784 7104132 8119008 9472176 12629568 14208264 16238016 18944352 28416528 37888704 56833056 113666112