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113112960 = 273558913
BaseRepresentation
bin1101011110111…
…11011110000000
321212211201210220
412233133132000
5212424103320
615120223040
72542305252
oct657373600
9255751726
10113112960
1158938494
1231a6aa80
131a58525c
1411045cd2
159de4e40
hex6bdf780

113112960 has 64 divisors (see below), whose sum is σ = 360553680. Its totient is φ = 30162944.

The previous prime is 113112913. The next prime is 113112977. The reversal of 113112960 is 69211311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113112960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27537 + ... + 31376.

Almost surely, 2113112960 is an apocalyptic number.

113112960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113112960 is an abundant number, since it is smaller than the sum of its proper divisors (247440720).

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

113112960 is an equidigital number, since it uses as much as digits as its factorization.

113112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58935 (or 58923 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 113112960 is about 10635.4576770349. The cubic root of 113112960 is about 483.6198549536.

The spelling of 113112960 in words is "one hundred thirteen million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 58913 117826 176739 235652 294565 353478 471304 589130 706956 883695 942608 1178260 1413912 1767390 1885216 2356520 2827824 3534780 3770432 4713040 5655648 7069560 7540864 9426080 11311296 14139120 18852160 22622592 28278240 37704320 56556480 113112960