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113616168 = 23317281991
BaseRepresentation
bin1101100010110…
…10010100101000
321220210022002020
412301122110220
5213041204133
615135104440
72546502321
oct661322450
9256708066
10113616168
1159151566
1232072120
131a700303
1411137448
159e940b3
hex6c5a528

113616168 has 64 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 35481600.

The previous prime is 113616163. The next prime is 113616179. The reversal of 113616168 is 861616311.

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

It is not an unprimeable number, because it can be changed into a prime (113616161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114153 + ... + 115143.

It is an arithmetic number, because the mean of its divisors is an integer number (4720680).

Almost surely, 2113616168 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 113616168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

113616168 is an abundant number, since it is smaller than the sum of its proper divisors (188507352).

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

113616168 is a wasteful number, since it uses less digits than its factorization.

113616168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 113616168 is about 10659.0885163789. The cubic root of 113616168 is about 484.3359573553.

The spelling of 113616168 in words is "one hundred thirteen million, six hundred sixteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 281 408 562 843 991 1124 1686 1982 2248 2973 3372 3964 4777 5946 6744 7928 9554 11892 14331 16847 19108 23784 28662 33694 38216 50541 57324 67388 101082 114648 134776 202164 278471 404328 556942 835413 1113884 1670826 2227768 3341652 4734007 6683304 9468014 14202021 18936028 28404042 37872056 56808084 113616168