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113322960 = 24325157393
BaseRepresentation
bin1101100000100…
…10101111010000
321220020101212200
412300102233100
5213002313320
615124523200
72544141432
oct660225720
9256211780
10113322960
1158a71243
1231b50500
131a629a0a
141109c652
159e37290
hex6c12bd0

113322960 has 60 divisors (see below), whose sum is σ = 380578692. Its totient is φ = 30219264.

The previous prime is 113322943. The next prime is 113322967. The reversal of 113322960 is 69223311.

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 74235456 = 6252^2 + 8616^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77977 + ... + 79416.

Almost surely, 2113322960 is an apocalyptic number.

113322960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113322960 is an abundant number, since it is smaller than the sum of its proper divisors (267255732).

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

113322960 is a wasteful number, since it uses less digits than its factorization.

113322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157412 (or 157403 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113322960 is about 10645.3257348002. The cubic root of 113322960 is about 483.9189582681.

The spelling of 113322960 in words is "one hundred thirteen million, three hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 157393 314786 472179 629572 786965 944358 1259144 1416537 1573930 1888716 2360895 2518288 2833074 3147860 3777432 4721790 5666148 6295720 7082685 7554864 9443580 11332296 12591440 14165370 18887160 22664592 28330740 37774320 56661480 113322960