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132968320 = 275207763
BaseRepresentation
bin1111110110011…
…10111110000000
3100021012111020121
413323032332000
5233014441240
621105550024
73203132512
oct773167600
9307174217
10132968320
116906a081
1238645314
13217178a4
1413933bb2
15ba1804a
hex7ecef80

132968320 has 32 divisors (see below), whose sum is σ = 317878920. Its totient is φ = 53187072.

The previous prime is 132968317. The next prime is 132968351. The reversal of 132968320 is 23869231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103242 + ... + 104521.

Almost surely, 2132968320 is an apocalyptic number.

132968320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132968320 is an abundant number, since it is smaller than the sum of its proper divisors (184910600).

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

132968320 is an equidigital number, since it uses as much as digits as its factorization.

132968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207782 (or 207770 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 132968320 is about 11531.1890106788. The cubic root of 132968320 is about 510.4063402677.

The spelling of 132968320 in words is "one hundred thirty-two million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 207763 415526 831052 1038815 1662104 2077630 3324208 4155260 6648416 8310520 13296832 16621040 26593664 33242080 66484160 132968320