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132506365 = 529979421
BaseRepresentation
bin1111110010111…
…10001011111101
3100020100000120011
413321132023331
5232410200430
621052023221
73166166635
oct771361375
9306300504
10132506365
1168883aa2
1238461b11
13215b5544
14138536c5
15b97622a
hex7e5e2fd

132506365 has 16 divisors (see below), whose sum is σ = 166204080. Its totient is φ = 101283840.

The previous prime is 132506357. The next prime is 132506371. The reversal of 132506365 is 563605231.

It can be written as a sum of positive squares in 8 ways, for example, as 3956121 + 128550244 = 1989^2 + 11338^2 .

It is not a de Polignac number, because 132506365 - 23 = 132506357 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9355 + ... + 18775.

It is an arithmetic number, because the mean of its divisors is an integer number (10387755).

Almost surely, 2132506365 is an apocalyptic number.

It is an amenable number.

132506365 is a deficient number, since it is larger than the sum of its proper divisors (33697715).

132506365 is an equidigital number, since it uses as much as digits as its factorization.

132506365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552.

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 132506365 is about 11511.1409078336. The cubic root of 132506365 is about 509.8145743956.

The spelling of 132506365 in words is "one hundred thirty-two million, five hundred six thousand, three hundred sixty-five".

Divisors: 1 5 29 97 145 485 2813 9421 14065 47105 273209 913837 1366045 4569185 26501273 132506365