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132382920 = 23351103191
BaseRepresentation
bin1111110010000…
…00000011001000
3100020002202020010
413321000003020
5232342223140
621045231520
73165144015
oct771000310
9306082203
10132382920
11687aa27a
12384025a0
13215712b7
141382070c
15b94e880
hex7e400c8

132382920 has 32 divisors (see below), whose sum is σ = 397149120. Its totient is φ = 35302080.

The previous prime is 132382897. The next prime is 132382949. The reversal of 132382920 is 29283231.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551476 + ... + 551715.

It is an arithmetic number, because the mean of its divisors is an integer number (12410910).

Almost surely, 2132382920 is an apocalyptic number.

132382920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132382920 is an abundant number, since it is smaller than the sum of its proper divisors (264766200).

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

132382920 is a wasteful number, since it uses less digits than its factorization.

132382920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103205 (or 1103201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 132382920 is about 11505.7776790619. Note that the first 3 decimals coincide. The cubic root of 132382920 is about 509.6562081322.

The spelling of 132382920 in words is "one hundred thirty-two million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1103191 2206382 3309573 4412764 5515955 6619146 8825528 11031910 13238292 16547865 22063820 26476584 33095730 44127640 66191460 132382920