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132053713 = 1123972749
BaseRepresentation
bin1111101111011…
…11101011010001
3100012111000122021
413313233223101
5232301204323
621034211441
73162303151
oct767575321
9305430567
10132053713
11685a4a00
1238283b81
13214874bc
1413776761
15b8d705d
hex7defad1

132053713 has 12 divisors (see below), whose sum is σ = 145568500. Its totient is φ = 119702880.

The previous prime is 132053699. The next prime is 132053737. The reversal of 132053713 is 317350231.

It can be written as a sum of positive squares in 2 ways, for example, as 49098049 + 82955664 = 7007^2 + 9108^2 .

It is not a de Polignac number, because 132053713 - 213 = 132045521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132053213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46663 + ... + 49411.

Almost surely, 2132053713 is an apocalyptic number.

It is an amenable number.

132053713 is a deficient number, since it is larger than the sum of its proper divisors (13514787).

132053713 is a wasteful number, since it uses less digits than its factorization.

132053713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 132053713 is about 11491.4626136102. The cubic root of 132053713 is about 509.2333900854.

The spelling of 132053713 in words is "one hundred thirty-two million, fifty-three thousand, seven hundred thirteen".

Divisors: 1 11 121 397 2749 4367 30239 48037 332629 1091353 12004883 132053713