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132274968 = 23376771163
BaseRepresentation
bin1111110001001…
…01101100011000
3100012220021010220
413320211230120
5232330244333
621043040040
73164214210
oct770455430
9305807126
10132274968
1168736161
1238370020
1321534117
14137d3240
15b92c8b3
hex7e25b18

132274968 has 64 divisors (see below), whose sum is σ = 378812160. Its totient is φ = 37704576.

The previous prime is 132274937. The next prime is 132274997. The reversal of 132274968 is 869472231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113155 + ... + 114317.

It is an arithmetic number, because the mean of its divisors is an integer number (5918940).

Almost surely, 2132274968 is an apocalyptic number.

It is an amenable number.

132274968 is an abundant number, since it is smaller than the sum of its proper divisors (246537192).

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

132274968 is a wasteful number, since it uses less digits than its factorization.

132274968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1852 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 132274968 is about 11501.0855139852. The cubic root of 132274968 is about 509.5176369612.

The spelling of 132274968 in words is "one hundred thirty-two million, two hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 677 1163 1354 2031 2326 2708 3489 4062 4652 4739 5416 6978 8124 8141 9304 9478 13956 14217 16248 16282 18956 24423 27912 28434 32564 37912 48846 56868 65128 97692 113736 195384 787351 1574702 2362053 3149404 4724106 5511457 6298808 9448212 11022914 16534371 18896424 22045828 33068742 44091656 66137484 132274968