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132157320 = 23351764783
BaseRepresentation
bin1111110000010…
…00111110001000
3100012200021202120
413320020332020
5232313013240
621040331240
73163214211
oct770107610
9305607676
10132157320
1168665829
1238313b20
13214c26c9
14137a2408
15b907ad0
hex7e08f88

132157320 has 64 divisors (see below), whose sum is σ = 419800320. Its totient is φ = 33168384.

The previous prime is 132157301. The next prime is 132157327. The reversal of 132157320 is 23751231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132157327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30352 + ... + 34431.

It is an arithmetic number, because the mean of its divisors is an integer number (6559380).

Almost surely, 2132157320 is an apocalyptic number.

132157320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132157320 is an abundant number, since it is smaller than the sum of its proper divisors (287643000).

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

132157320 is a wasteful number, since it uses less digits than its factorization.

132157320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64814 (or 64810 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 132157320 is about 11495.9697285614. The cubic root of 132157320 is about 509.3665337647.

The spelling of 132157320 in words is "one hundred thirty-two million, one hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 64783 129566 194349 259132 323915 388698 518264 647830 777396 971745 1101311 1295660 1554792 1943490 2202622 2591320 3303933 3886980 4405244 5506555 6607866 7773960 8810488 11013110 13215732 16519665 22026220 26431464 33039330 44052440 66078660 132157320