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132314825 = 5217311329
BaseRepresentation
bin1111110001011…
…11011011001001
3100012222021211002
413320233123021
5232333033300
621043544345
73164441336
oct770573311
9305867732
10132314825
11687630a5
123838b0b5
13215492c6
141380398d
15b9395d5
hex7e2f6c9

132314825 has 12 divisors (see below), whose sum is σ = 173722140. Its totient is φ = 99624960.

The previous prime is 132314783. The next prime is 132314881. The reversal of 132314825 is 528413231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5707321 + 126607504 = 2389^2 + 11252^2 .

It is not a de Polignac number, because 132314825 - 216 = 132249289 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155240 + ... + 156089.

It is an arithmetic number, because the mean of its divisors is an integer number (14476845).

Almost surely, 2132314825 is an apocalyptic number.

It is an amenable number.

132314825 is a deficient number, since it is larger than the sum of its proper divisors (41407315).

132314825 is a wasteful number, since it uses less digits than its factorization.

132314825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311356 (or 311351 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 132314825 is about 11502.8181329620. The cubic root of 132314825 is about 509.5688076536.

The spelling of 132314825 in words is "one hundred thirty-two million, three hundred fourteen thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 425 311329 1556645 5292593 7783225 26462965 132314825