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132772108 = 22717733821
BaseRepresentation
bin1111110100111…
…11000100001100
3100020211112002111
413322133010030
5232442201413
621101433404
73201354460
oct772370414
9306745074
10132772108
1168a45717
123856b864
13216794a1
14138c24a0
15b9c9d3d
hex7e9f10c

132772108 has 48 divisors (see below), whose sum is σ = 285090624. Its totient is φ = 52807680.

The previous prime is 132772103. The next prime is 132772151. The reversal of 132772108 is 801277231.

It is a self number, because there is not a number n which added to its sum of digits gives 132772108.

It is not an unprimeable number, because it can be changed into a prime (132772103) 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, 32838 + ... + 36658.

It is an arithmetic number, because the mean of its divisors is an integer number (5939388).

Almost surely, 2132772108 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 132772108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142545312).

132772108 is an abundant number, since it is smaller than the sum of its proper divisors (152318516).

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

132772108 is a wasteful number, since it uses less digits than its factorization.

132772108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 132772108 is about 11522.6779873430. The cubic root of 132772108 is about 510.1551597619.

The spelling of 132772108 in words is "one hundred thirty-two million, seven hundred seventy-two thousand, one hundred eight".

Divisors: 1 2 4 7 14 17 28 34 68 73 119 146 238 292 476 511 1022 1241 2044 2482 3821 4964 7642 8687 15284 17374 26747 34748 53494 64957 106988 129914 259828 278933 454699 557866 909398 1115732 1818796 1952531 3905062 4741861 7810124 9483722 18967444 33193027 66386054 132772108