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132023904 = 2531780897
BaseRepresentation
bin1111101111010…
…00011001100000
3100012102111202020
413313220121200
5232244231104
621033421440
73162120225
oct767503140
9305374666
10132023904
1168584571
123826a880
1321476a6c
141376994c
15b8cd2d9
hex7de8660

132023904 has 48 divisors (see below), whose sum is σ = 366953328. Its totient is φ = 41418752.

The previous prime is 132023891. The next prime is 132023909. The reversal of 132023904 is 409320231.

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

It is a super-2 number, since 2×1320239042 = 34860622454802432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132023909) 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, 38817 + ... + 42080.

It is an arithmetic number, because the mean of its divisors is an integer number (7644861).

Almost surely, 2132023904 is an apocalyptic number.

It is an amenable number.

132023904 is an abundant number, since it is smaller than the sum of its proper divisors (234929424).

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

132023904 is a wasteful number, since it uses less digits than its factorization.

132023904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80927 (or 80919 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 132023904 is about 11490.1655340556. The cubic root of 132023904 is about 509.1950701217.

The spelling of 132023904 in words is "one hundred thirty-two million, twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 80897 161794 242691 323588 485382 647176 970764 1294352 1375249 1941528 2588704 2750498 3883056 4125747 5500996 7766112 8251494 11001992 16502988 22003984 33005976 44007968 66011952 132023904