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113764520 = 23513212153
BaseRepresentation
bin1101100011111…
…10100010101000
321221001211120202
412301332202220
5213110431040
615142211332
72550660662
oct661764250
9257054522
10113764520
1159242a71
1232123b48
131a7529ac
1411175532
159ec3015
hex6c7e8a8

113764520 has 32 divisors (see below), whose sum is σ = 256282920. Its totient is φ = 45450240.

The previous prime is 113764501. The next prime is 113764579. The reversal of 113764520 is 25467311.

It can be written as a sum of positive squares in 4 ways, for example, as 90973444 + 22791076 = 9538^2 + 4774^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 51764 + ... + 53916.

Almost surely, 2113764520 is an apocalyptic number.

113764520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113764520 is an abundant number, since it is smaller than the sum of its proper divisors (142518400).

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

113764520 is a wasteful number, since it uses less digits than its factorization.

113764520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 113764520 is about 10666.0451902287. The cubic root of 113764520 is about 484.5466696119.

It can be divided in two parts, 1137645 and 20, that multiplied together give a square (22752900 = 47702).

The spelling of 113764520 in words is "one hundred thirteen million, seven hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1321 2153 2642 4306 5284 6605 8612 10568 10765 13210 17224 21530 26420 43060 52840 86120 2844113 5688226 11376452 14220565 22752904 28441130 56882260 113764520