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113938960 = 2451424237
BaseRepresentation
bin1101100101010…
…01001000010000
321221101200212111
412302221020100
5213132021320
615150035104
72552315362
oct662511020
9257350774
10113938960
1159352033
12321a8a94
131a7b4205
14111bcd32
15a009a5a
hex6ca9210

113938960 has 20 divisors (see below), whose sum is σ = 264908268. Its totient is φ = 45575552.

The previous prime is 113938933. The next prime is 113938973. The reversal of 113938960 is 69839311.

It can be written as a sum of positive squares in 2 ways, for example, as 21086464 + 92852496 = 4592^2 + 9636^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 712039 + ... + 712198.

Almost surely, 2113938960 is an apocalyptic number.

113938960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113938960 is an abundant number, since it is smaller than the sum of its proper divisors (150969308).

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

113938960 is a wasteful number, since it uses less digits than its factorization.

113938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424250 (or 1424244 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 113938960 is about 10674.2194093995. The cubic root of 113938960 is about 484.7942018426.

The spelling of 113938960 in words is "one hundred thirteen million, nine hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1424237 2848474 5696948 7121185 11393896 14242370 22787792 28484740 56969480 113938960