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132589920 = 2535276229
BaseRepresentation
bin1111110011100…
…10100101100000
3100020111021011210
413321302211200
5232420334140
621053510120
73166665351
oct771624540
9306437153
10132589920
1168930851
12384a2340
1321614598
1413875d28
15b990d80
hex7e72960

132589920 has 48 divisors (see below), whose sum is σ = 417659760. Its totient is φ = 35357184.

The previous prime is 132589913. The next prime is 132589931. The reversal of 132589920 is 29985231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 137635 + ... + 138594.

It is an arithmetic number, because the mean of its divisors is an integer number (8701245).

Almost surely, 2132589920 is an apocalyptic number.

132589920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132589920 is an abundant number, since it is smaller than the sum of its proper divisors (285069840).

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

132589920 is a wasteful number, since it uses less digits than its factorization.

132589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276247 (or 276239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 132589920 is about 11514.7696459808. The cubic root of 132589920 is about 509.9217103969.

The spelling of 132589920 in words is "one hundred thirty-two million, five hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 276229 552458 828687 1104916 1381145 1657374 2209832 2762290 3314748 4143435 4419664 5524580 6629496 8286870 8839328 11049160 13258992 16573740 22098320 26517984 33147480 44196640 66294960 132589920