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132024906 = 232131134993
BaseRepresentation
bin1111101111010…
…00101001001010
3100012102120010100
413313220221022
5232244244111
621033430230
73162123156
oct767505112
9305376110
10132024906
11685852a2
123826b376
1321477360
141376a066
15b8cd756
hex7de8a4a

132024906 has 48 divisors (see below), whose sum is σ = 310846536. Its totient is φ = 40255488.

The previous prime is 132024889. The next prime is 132024943. The reversal of 132024906 is 609420231.

It can be written as a sum of positive squares in 4 ways, for example, as 39576681 + 92448225 = 6291^2 + 9615^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132024906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23946 + ... + 28938.

Almost surely, 2132024906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132024906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155423268).

132024906 is an abundant number, since it is smaller than the sum of its proper divisors (178821630).

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

132024906 is a wasteful number, since it uses less digits than its factorization.

132024906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132024906 is about 11490.2091364779. The cubic root of 132024906 is about 509.1963583030.

The spelling of 132024906 in words is "one hundred thirty-two million, twenty-four thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 4993 8814 9986 13221 14979 26442 29958 44937 64909 89874 129818 194727 389454 564209 584181 1128418 1168362 1692627 3385254 5077881 7334717 10155762 14669434 22004151 44008302 66012453 132024906