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132965568 = 26321737367
BaseRepresentation
bin1111110110011…
…10010011000000
3100021012100110200
413323032103000
5233014344233
621105525200
73203121501
oct773162300
9307170420
10132965568
1169067aaa
1238643800
1321716568
1413932ba8
15ba17313
hex7ece4c0

132965568 has 168 divisors, whose sum is σ = 415576512. Its totient is φ = 40476672.

The previous prime is 132965549. The next prime is 132965597. The reversal of 132965568 is 865569231.

132965568 is a `hidden beast` number, since 1 + 3 + 2 + 96 + 556 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362121 + ... + 362487.

Almost surely, 2132965568 is an apocalyptic number.

132965568 is a gapful number since it is divisible by the number (18) 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 132965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207788256).

132965568 is an abundant number, since it is smaller than the sum of its proper divisors (282610944).

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

132965568 is a wasteful number, since it uses less digits than its factorization.

132965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 132965568 is about 11531.0696815170. The cubic root of 132965568 is about 510.4028190081.

The spelling of 132965568 in words is "one hundred thirty-two million, nine hundred sixty-five thousand, five hundred sixty-eight".