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113532720 = 2435767579
BaseRepresentation
bin1101100010001…
…01111100110000
321220122001121120
412301011330300
5213031021340
615133222240
72546004120
oct661057460
9256561546
10113532720
11590a48a4
1232031980
131a6a1332
1411114c80
159e794d0
hex6c45f30

113532720 has 80 divisors (see below), whose sum is σ = 402236160. Its totient is φ = 25949952.

The previous prime is 113532707. The next prime is 113532751. The reversal of 113532720 is 27235311.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32110 + ... + 35469.

It is an arithmetic number, because the mean of its divisors is an integer number (5027952).

Almost surely, 2113532720 is an apocalyptic number.

113532720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113532720 is an abundant number, since it is smaller than the sum of its proper divisors (288703440).

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

113532720 is a wasteful number, since it uses less digits than its factorization.

113532720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67602 (or 67596 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 113532720 is about 10655.1733913625. The cubic root of 113532720 is about 484.2173510961.

The spelling of 113532720 in words is "one hundred thirteen million, five hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 67579 135158 202737 270316 337895 405474 473053 540632 675790 810948 946106 1013685 1081264 1351580 1419159 1621896 1892212 2027370 2365265 2703160 2838318 3243792 3784424 4054740 4730530 5406320 5676636 7095795 7568848 8109480 9461060 11353272 14191590 16218960 18922120 22706544 28383180 37844240 56766360 113532720