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113801868 = 223319311789
BaseRepresentation
bin1101100100001…
…11101010001100
321221010201211000
412302013222030
5213113124433
615143100300
72551204605
oct662075214
9257121730
10113801868
1159269034
1232141690
131a7669ab
1411184dac
159ece113
hex6c87a8c

113801868 has 96 divisors (see below), whose sum is σ = 320768000. Its totient is φ = 34758720.

The previous prime is 113801839. The next prime is 113801911. The reversal of 113801868 is 868108311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62718 + ... + 64506.

Almost surely, 2113801868 is an apocalyptic number.

113801868 is a gapful number since it is divisible by the number (18) 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 113801868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160384000).

113801868 is an abundant number, since it is smaller than the sum of its proper divisors (206966132).

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

113801868 is a wasteful number, since it uses less digits than its factorization.

113801868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 113801868 is about 10667.7958360666. The cubic root of 113801868 is about 484.5996881014.

The spelling of 113801868 in words is "one hundred thirteen million, eight hundred one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1116 1178 1674 1767 1789 2052 2356 3348 3534 3578 5301 5367 7068 7156 10602 10734 15903 16101 21204 21468 31806 32202 33991 48303 55459 63612 64404 67982 96606 101973 110918 135964 166377 193212 203946 221836 305919 332754 407892 499131 611838 665508 917757 998262 1053721 1223676 1497393 1835514 1996524 2107442 2994786 3161163 3671028 4214884 5989572 6322326 9483489 12644652 18966978 28450467 37933956 56900934 113801868