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132751020 = 22353596163
BaseRepresentation
bin1111110100110…
…01111010101100
3100020210110011110
413322121322230
5232441013040
621101152020
73201236133
oct772317254
9306713143
10132751020
1168a30896
123855b610
132166c9cc
14138b891a
15b9c3980
hex7e99eac

132751020 has 48 divisors (see below), whose sum is σ = 372798720. Its totient is φ = 35295936.

The previous prime is 132751007. The next prime is 132751057. The reversal of 132751020 is 20157231.

It is a super-2 number, since 2×1327510202 = 35245666622080800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18459 + ... + 24621.

It is an arithmetic number, because the mean of its divisors is an integer number (7766640).

Almost surely, 2132751020 is an apocalyptic number.

132751020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132751020 is an abundant number, since it is smaller than the sum of its proper divisors (240047700).

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

132751020 is a wasteful number, since it uses less digits than its factorization.

132751020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 132751020 is about 11521.7628859476. The cubic root of 132751020 is about 510.1281492655.

The spelling of 132751020 in words is "one hundred thirty-two million, seven hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1436 1795 2154 3590 4308 5385 6163 7180 10770 12326 18489 21540 24652 30815 36978 61630 73956 92445 123260 184890 369780 2212517 4425034 6637551 8850068 11062585 13275102 22125170 26550204 33187755 44250340 66375510 132751020