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113299560 = 23345112172
BaseRepresentation
bin1101100000011…
…01000001101000
321220012012210000
412300031001220
5213001041220
615124223000
72544013263
oct660150150
9256165700
10113299560
1158a55700
1231b3aa60
131a61c17a
1411093cda
159e30390
hex6c0d068

113299560 has 360 divisors, whose sum is σ = 444649590. Its totient is φ = 25850880.

The previous prime is 113299547. The next prime is 113299609. The reversal of 113299560 is 65992311.

113299560 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 99 + 560 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 110124036 + 3175524 = 10494^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 89 ways as a sum of consecutive naturals, for example, 6664672 + ... + 6664688.

Almost surely, 2113299560 is an apocalyptic number.

113299560 is a gapful number since it is divisible by the number (10) 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 113299560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222324795).

113299560 is an abundant number, since it is smaller than the sum of its proper divisors (331350030).

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

113299560 is a wasteful number, since it uses less digits than its factorization.

113299560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 113299560 is about 10644.2266041268. The cubic root of 113299560 is about 483.8856479159.

The spelling of 113299560 in words is "one hundred thirteen million, two hundred ninety-nine thousand, five hundred sixty".