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132161928 = 23331374801
BaseRepresentation
bin1111110000010…
…10000110001000
3100012200112002020
413320022012020
5232313140203
621040404440
73163233513
oct770120610
9305615066
10132161928
1168669238
1238316720
13214c4832
14137a3d7a
15b909153
hex7e0a188

132161928 has 64 divisors (see below), whose sum is σ = 350353920. Its totient is φ = 41472000.

The previous prime is 132161923. The next prime is 132161941. The reversal of 132161928 is 829161231.

It is not an unprimeable number, because it can be changed into a prime (132161921) by changing a digit.

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, 25128 + ... + 29928.

It is an arithmetic number, because the mean of its divisors is an integer number (5474280).

Almost surely, 2132161928 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 132161928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175176960).

132161928 is an abundant number, since it is smaller than the sum of its proper divisors (218191992).

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

132161928 is a wasteful number, since it uses less digits than its factorization.

132161928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4874 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 132161928 is about 11496.1701448787. The cubic root of 132161928 is about 509.3724538144.

The spelling of 132161928 in words is "one hundred thirty-two million, one hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3441 4588 4801 6882 9176 9602 13764 14403 19204 27528 28806 38408 57612 115224 148831 177637 297662 355274 446493 532911 595324 710548 892986 1065822 1190648 1421096 1785972 2131644 3571944 4263288 5506747 11013494 16520241 22026988 33040482 44053976 66080964 132161928