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132915264 = 2632293023
BaseRepresentation
bin1111110110000…
…10000001000000
3100021002210110120
413323002001000
5233011242024
621104500240
73202522026
oct773020100
9307083416
10132915264
1169033229
123861a680
13216c96b1
141391c716
15ba07479
hex7ec2040

132915264 has 56 divisors (see below), whose sum is σ = 353324160. Its totient is φ = 44097024.

The previous prime is 132915257. The next prime is 132915269. The reversal of 132915264 is 462519231.

It is not an unprimeable number, because it can be changed into a prime (132915269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42457 + ... + 45479.

It is an arithmetic number, because the mean of its divisors is an integer number (6309360).

Almost surely, 2132915264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176662080).

132915264 is an abundant number, since it is smaller than the sum of its proper divisors (220408896).

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

132915264 is a wasteful number, since it uses less digits than its factorization.

132915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3257 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 132915264 is about 11528.8882378137. Note that the first 3 decimals coincide. The cubic root of 132915264 is about 510.3384450945.

The spelling of 132915264 in words is "one hundred thirty-two million, nine hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 229 458 687 916 1374 1832 2748 3023 3664 5496 6046 7328 9069 10992 12092 14656 18138 21984 24184 36276 43968 48368 72552 96736 145104 193472 290208 580416 692267 1384534 2076801 2769068 4153602 5538136 8307204 11076272 16614408 22152544 33228816 44305088 66457632 132915264