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132765757 = 732696761
BaseRepresentation
bin1111110100111…
…01100000111101
3100020211012101021
413322131200331
5232442001012
621101344141
73201330115
oct772354075
9306735337
10132765757
1168a40973
1238568051
1321676627
14138c0045
15b9c8007
hex7e9d83d

132765757 has 8 divisors (see below), whose sum is σ = 135104760. Its totient is φ = 130440960.

The previous prime is 132765751. The next prime is 132765761. The reversal of 132765757 is 757567231.

It can be written as a sum of positive squares in 4 ways, for example, as 13388281 + 119377476 = 3659^2 + 10926^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132765757 - 27 = 132765629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16257 + ... + 23017.

It is an arithmetic number, because the mean of its divisors is an integer number (16888095).

Almost surely, 2132765757 is an apocalyptic number.

It is an amenable number.

132765757 is a deficient number, since it is larger than the sum of its proper divisors (2339003).

132765757 is an equidigital number, since it uses as much as digits as its factorization.

132765757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103.

The product of its digits is 308700, while the sum is 43.

The square root of 132765757 is about 11522.4023970698. The cubic root of 132765757 is about 510.1470254051.

The spelling of 132765757 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, seven hundred fifty-seven".

Divisors: 1 73 269 6761 19637 493553 1818709 132765757