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113232960 = 2632539317
BaseRepresentation
bin1101011111111…
…00110001000000
321220001211102100
412233330301000
5212441423320
615122550400
72543315151
oct657746100
9256054370
10113232960
1158a0a665
1231b08400
131a5c7a69
1411077928
159e1a790
hex6bfcc40

113232960 has 84 divisors (see below), whose sum is σ = 389484108. Its totient is φ = 30194688.

The previous prime is 113232949. The next prime is 113232983. The reversal of 113232960 is 69232311.

It can be written as a sum of positive squares in 2 ways, for example, as 69355584 + 43877376 = 8328^2 + 6624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16779 + ... + 22538.

Almost surely, 2113232960 is an apocalyptic number.

113232960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113232960 is an abundant number, since it is smaller than the sum of its proper divisors (276251148).

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

113232960 is a wasteful number, since it uses less digits than its factorization.

113232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39340 (or 39327 counting only the distinct ones).

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

The square root of 113232960 is about 10641.0976877388. The cubic root of 113232960 is about 483.7908164186.

The spelling of 113232960 in words is "one hundred thirteen million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 39317 78634 117951 157268 196585 235902 314536 353853 393170 471804 589755 629072 707706 786340 943608 1179510 1258144 1415412 1572680 1769265 1887216 2359020 2516288 2830824 3145360 3538530 3774432 4718040 5661648 6290720 7077060 7548864 9436080 11323296 12581440 14154120 18872160 22646592 28308240 37744320 56616480 113232960