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132161860 = 22541533041
BaseRepresentation
bin1111110000010…
…10000101000100
3100012200111222201
413320022011010
5232313134420
621040404244
73163233355
oct770120504
9305614881
10132161860
1168669186
1238316684
13214c47ac
14137a3d2c
15b90910a
hex7e0a144

132161860 has 48 divisors (see below), whose sum is σ = 289768752. Its totient is φ = 50585600.

The previous prime is 132161857. The next prime is 132161873. The reversal of 132161860 is 68161231.

132161860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 876096 + 131285764 = 936^2 + 11458^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41940 + ... + 44980.

It is an arithmetic number, because the mean of its divisors is an integer number (6036849).

Almost surely, 2132161860 is an apocalyptic number.

132161860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132161860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144884376).

132161860 is an abundant number, since it is smaller than the sum of its proper divisors (157606892).

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

132161860 is a wasteful number, since it uses less digits than its factorization.

132161860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 132161860 is about 11496.1671873716. The cubic root of 132161860 is about 509.3723664536.

The spelling of 132161860 in words is "one hundred thirty-two million, one hundred sixty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 3041 4346 6082 8692 10865 12164 15205 21730 30410 43460 60820 124681 161173 249362 322346 498724 623405 644692 805865 1246810 1611730 2493620 3223460 6608093 13216186 26432372 33040465 66080930 132161860