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132760512 = 263376829
BaseRepresentation
bin1111110100111…
…00001111000000
3100020210221012000
413322130033000
5232441314022
621101304000
73201305613
oct772341700
9306727160
10132760512
1168a37a35
1238565000
1321674121
14138bc17a
15b9c66ac
hex7e9c3c0

132760512 has 56 divisors (see below), whose sum is σ = 390296400. Its totient is φ = 44252928.

The previous prime is 132760493. The next prime is 132760519. The reversal of 132760512 is 215067231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132760519) 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, 36687 + ... + 40142.

Almost surely, 2132760512 is an apocalyptic number.

132760512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132760512 is an abundant number, since it is smaller than the sum of its proper divisors (257535888).

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

132760512 is an equidigital number, since it uses as much as digits as its factorization.

132760512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76850 (or 76834 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 132760512 is about 11522.1747947165. The cubic root of 132760512 is about 510.1403074169.

The spelling of 132760512 in words is "one hundred thirty-two million, seven hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 76829 153658 230487 307316 460974 614632 691461 921948 1229264 1382922 1843896 2074383 2458528 2765844 3687792 4148766 4917056 5531688 7375584 8297532 11063376 14751168 16595064 22126752 33190128 44253504 66380256 132760512