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113327856 = 24331913807
BaseRepresentation
bin1101100000100…
…11111011110000
321220020122121000
412300103323300
5213002442411
615125002000
72544161625
oct660237360
9256218530
10113327856
1158a74994
1231b53300
131a62c005
14110a034c
159e38956
hex6c13ef0

113327856 has 80 divisors (see below), whose sum is σ = 342438400. Its totient is φ = 35785152.

The previous prime is 113327843. The next prime is 113327861. The reversal of 113327856 is 658723311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113327856.

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, 1305 + ... + 15111.

It is an arithmetic number, because the mean of its divisors is an integer number (4280480).

Almost surely, 2113327856 is an apocalyptic number.

113327856 is a gapful number since it is divisible by the number (16) 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 113327856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171219200).

113327856 is an abundant number, since it is smaller than the sum of its proper divisors (229110544).

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

113327856 is a wasteful number, since it uses less digits than its factorization.

113327856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13843 (or 13831 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 113327856 is about 10645.5556924005. Note that the first 3 decimals coincide. The cubic root of 113327856 is about 483.9259272386.

The spelling of 113327856 in words is "one hundred thirteen million, three hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 13807 27614 41421 55228 82842 110456 124263 165684 220912 248526 262333 331368 372789 497052 524666 662736 745578 786999 994104 1049332 1491156 1573998 1988208 2098664 2360997 2982312 3147996 4197328 4721994 5964624 6295992 7082991 9443988 12591984 14165982 18887976 28331964 37775952 56663928 113327856