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132372012 = 22319659881
BaseRepresentation
bin1111110001111…
…01011000101100
3100020002012021010
413320331120230
5232341401022
621045105220
73165100143
oct770753054
9306065233
10132372012
11687a2063
12383b8210
1321569346
141381a75a
15b94b50c
hex7e3d62c

132372012 has 48 divisors (see below), whose sum is σ = 325987200. Its totient is φ = 41690880.

The previous prime is 132372007. The next prime is 132372029. The reversal of 132372012 is 210273231.

It is a self number, because there is not a number n which added to its sum of digits gives 132372012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149812 + ... + 150692.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2132372012 is an apocalyptic number.

132372012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132372012 is an abundant number, since it is smaller than the sum of its proper divisors (193615188).

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

132372012 is a wasteful number, since it uses less digits than its factorization.

132372012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132372012 is about 11505.3036465797. The cubic root of 132372012 is about 509.6422096431.

The spelling of 132372012 in words is "one hundred thirty-two million, three hundred seventy-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 659 881 1318 1762 1977 2636 2643 3524 3954 5286 7908 10572 12521 16739 25042 33478 37563 50084 50217 66956 75126 100434 150252 200868 580579 1161158 1741737 2322316 3483474 6966948 11031001 22062002 33093003 44124004 66186006 132372012