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132585864 = 23310635197
BaseRepresentation
bin1111110011100…
…01100110001000
3100020111001121120
413321301212020
5232420221424
621053435240
73166650465
oct771614610
9306431546
10132585864
11689287a4
123849bb20
1321612798
141387466c
15b98ea79
hex7e71988

132585864 has 32 divisors (see below), whose sum is σ = 331840320. Its totient is φ = 44145216.

The previous prime is 132585863. The next prime is 132585877. The reversal of 132585864 is 468585231.

It is a super-2 number, since 2×1325858642 = 35158022665252992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132585863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22914 + ... + 28110.

It is an arithmetic number, because the mean of its divisors is an integer number (10370010).

Almost surely, 2132585864 is an apocalyptic number.

It is an amenable number.

132585864 is an abundant number, since it is smaller than the sum of its proper divisors (199254456).

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

132585864 is a wasteful number, since it uses less digits than its factorization.

132585864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6265 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 132585864 is about 11514.5935230038. The cubic root of 132585864 is about 509.9165107469.

The spelling of 132585864 in words is "one hundred thirty-two million, five hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 1063 2126 3189 4252 5197 6378 8504 10394 12756 15591 20788 25512 31182 41576 62364 124728 5524411 11048822 16573233 22097644 33146466 44195288 66292932 132585864