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132416032 = 257284449
BaseRepresentation
bin1111110010010…
…00001000100000
3100020011102122111
413321020020200
5232344303112
621050045104
73165342400
oct771101040
9306142574
10132416032
1168822141
1238419794
13215833a8
141382c800
15b9595a7
hex7e48220

132416032 has 36 divisors (see below), whose sum is σ = 303259950. Its totient is φ = 56749056.

The previous prime is 132416021. The next prime is 132416033. The reversal of 132416032 is 230614231.

It can be written as a sum of positive squares in only one way, i.e., 129868816 + 2547216 = 11396^2 + 1596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132415994 and 132416012.

It is not an unprimeable number, because it can be changed into a prime (132416033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40657 + ... + 43792.

Almost surely, 2132416032 is an apocalyptic number.

It is an amenable number.

132416032 is an abundant number, since it is smaller than the sum of its proper divisors (170843918).

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

132416032 is an equidigital number, since it uses as much as digits as its factorization.

132416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84473 (or 84458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 132416032 is about 11507.2165183419. The cubic root of 132416032 is about 509.6986968197.

The spelling of 132416032 in words is "one hundred thirty-two million, four hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 84449 168898 337796 591143 675592 1182286 1351184 2364572 2702368 4138001 4729144 8276002 9458288 16552004 18916576 33104008 66208016 132416032