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113520132 = 223211439653
BaseRepresentation
bin1101100010000…
…10111000000100
321220121102100100
412301002320010
5213030121012
615133044100
72545622325
oct661027004
9256542310
10113520132
11590963a0
1232026630
131a69869b
141111044c
159e758dc
hex6c42e04

113520132 has 72 divisors (see below), whose sum is σ = 314233920. Its totient is φ = 34269120.

The previous prime is 113520119. The next prime is 113520137. The reversal of 113520132 is 231025311.

113520132 is a `hidden beast` number, since 1 + 13 + 520 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113520137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173518 + ... + 174170.

It is an arithmetic number, because the mean of its divisors is an integer number (4364360).

Almost surely, 2113520132 is an apocalyptic number.

113520132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113520132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157116960).

113520132 is an abundant number, since it is smaller than the sum of its proper divisors (200713788).

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

113520132 is a wasteful number, since it uses less digits than its factorization.

113520132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113520132 is about 10654.5826760132. The cubic root of 113520132 is about 484.1994544835.

Adding to 113520132 its reverse (231025311), we get a palindrome (344545443).

The spelling of 113520132 in words is "one hundred thirteen million, five hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 439 653 878 1306 1317 1756 1959 2612 2634 3918 3951 4829 5268 5877 7183 7836 7902 9658 11754 14366 14487 15804 19316 21549 23508 28732 28974 43098 43461 57948 64647 86196 86922 129294 173844 258588 286667 573334 860001 1146668 1720002 2580003 3153337 3440004 5160006 6306674 9460011 10320012 12613348 18920022 28380033 37840044 56760066 113520132