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132033096 = 233213141061
BaseRepresentation
bin1111101111010…
…10101001001000
3100012102222100200
413313222221020
5232300024341
621033532200
73162156066
oct767525110
9305388320
10132033096
1168590468
1238274060
132147acc0
141376d036
15b8d0db6
hex7deaa48

132033096 has 48 divisors (see below), whose sum is σ = 385099260. Its totient is φ = 40625280.

The previous prime is 132033059. The next prime is 132033119. The reversal of 132033096 is 690330231.

132033096 is a `hidden beast` number, since 1 + 320 + 330 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132020100 + 12996 = 11490^2 + 114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69595 + ... + 71466.

Almost surely, 2132033096 is an apocalyptic number.

It is an amenable number.

132033096 is an abundant number, since it is smaller than the sum of its proper divisors (253066164).

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

132033096 is a wasteful number, since it uses less digits than its factorization.

132033096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141086 (or 141079 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 132033096 is about 11490.5655213310. The cubic root of 132033096 is about 509.2068872052.

The spelling of 132033096 in words is "one hundred thirty-two million, thirty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 141061 282122 423183 564244 846366 1128488 1269549 1692732 1833793 2539098 3385464 3667586 5078196 5501379 7335172 10156392 11002758 14670344 16504137 22005516 33008274 44011032 66016548 132033096