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132979660 = 225111514003
BaseRepresentation
bin1111110110100…
…01101111001100
3100021020001210121
413323101233030
5233020322120
621110114324
73203210542
oct773215714
9307201717
10132979660
1169077650
123864b9a4
132171cab8
1413937d92
15ba1b5aa
hex7ed1bcc

132979660 has 48 divisors (see below), whose sum is σ = 306738432. Its totient is φ = 48024000.

The previous prime is 132979633. The next prime is 132979681. The reversal of 132979660 is 66979231.

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, 31219 + ... + 35221.

It is an arithmetic number, because the mean of its divisors is an integer number (6390384).

Almost surely, 2132979660 is an apocalyptic number.

132979660 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 132979660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153369216).

132979660 is an abundant number, since it is smaller than the sum of its proper divisors (173758772).

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

132979660 is a wasteful number, since it uses less digits than its factorization.

132979660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 132979660 is about 11531.6807101133. The cubic root of 132979660 is about 510.4208495969.

The spelling of 132979660 in words is "one hundred thirty-two million, nine hundred seventy-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 4003 6644 8006 8305 16012 16610 20015 33220 40030 44033 80060 88066 176132 220165 440330 604453 880660 1208906 2417812 3022265 6044530 6648983 12089060 13297966 26595932 33244915 66489830 132979660