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132390864 = 2432919381
BaseRepresentation
bin1111110010000…
…01111111010000
3100020010011010100
413321001333100
5232343001424
621045332400
73165206124
oct771017720
9306104110
10132390864
1168805241
1238407100
1321574ab8
1413823584
15b951dc9
hex7e41fd0

132390864 has 30 divisors (see below), whose sum is σ = 370510946. Its totient is φ = 44130240.

The previous prime is 132390857. The next prime is 132390877. The reversal of 132390864 is 468093231.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 27123264 = 10260^2 + 5208^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459547 + ... + 459834.

Almost surely, 2132390864 is an apocalyptic number.

It is an amenable number.

132390864 is an abundant number, since it is smaller than the sum of its proper divisors (238120082).

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

132390864 is a wasteful number, since it uses less digits than its factorization.

132390864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919395 (or 919386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132390864 is about 11506.1228917477. The cubic root of 132390864 is about 509.6664023676. Note that the first 3 decimals are identical.

The spelling of 132390864 in words is "one hundred thirty-two million, three hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 919381 1838762 2758143 3677524 5516286 7355048 8274429 11032572 14710096 16548858 22065144 33097716 44130288 66195432 132390864