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132032076 = 223116714929
BaseRepresentation
bin1111101111010…
…10011001001100
3100012102220221220
413313222121030
5232300011301
621033523340
73162153111
oct767523114
9305386856
10132032076
116858a720
1238273550
132147a6b7
141376c908
15b8d0936
hex7dea64c

132032076 has 48 divisors (see below), whose sum is σ = 341120640. Its totient is φ = 39409920.

The previous prime is 132032023. The next prime is 132032077. The reversal of 132032076 is 670230231.

It is not an unprimeable number, because it can be changed into a prime (132032077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380 + ... + 16308.

It is an arithmetic number, because the mean of its divisors is an integer number (7106680).

Almost surely, 2132032076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132032076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170560320).

132032076 is an abundant number, since it is smaller than the sum of its proper divisors (209088564).

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

132032076 is a wasteful number, since it uses less digits than its factorization.

132032076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15014 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 132032076 is about 11490.5211370068. The cubic root of 132032076 is about 509.2055759371.

The spelling of 132032076 in words is "one hundred thirty-two million, thirty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 14929 29858 44787 59716 89574 164219 179148 328438 492657 656876 985314 1000243 1970628 2000486 3000729 4000972 6001458 11002673 12002916 22005346 33008019 44010692 66016038 132032076