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132796920 = 23358391319
BaseRepresentation
bin1111110101001…
…01000111111000
3100020212210010110
413322211013320
5232444000140
621102144320
73201520014
oct772450770
9306783113
10132796920
1168a62323
12385820a0
1321687879
14138cb544
15b9d2380
hex7ea51f8

132796920 has 64 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 35343488.

The previous prime is 132796913. The next prime is 132796933. The reversal of 132796920 is 29697231.

It is a super-2 number, since 2×1327969202 = 35270043922972800, which contains 22 as substring.

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, 100021 + ... + 101339.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2132796920 is an apocalyptic number.

132796920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132796920 is an abundant number, since it is smaller than the sum of its proper divisors (266371080).

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

132796920 is a wasteful number, since it uses less digits than its factorization.

132796920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 132796920 is about 11523.7545964846. The cubic root of 132796920 is about 510.1869364696.

The spelling of 132796920 in words is "one hundred thirty-two million, seven hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 839 1319 1678 2517 2638 3356 3957 4195 5034 5276 6595 6712 7914 8390 10068 10552 12585 13190 15828 16780 19785 20136 25170 26380 31656 33560 39570 50340 52760 79140 100680 158280 1106641 2213282 3319923 4426564 5533205 6639846 8853128 11066410 13279692 16599615 22132820 26559384 33199230 44265640 66398460 132796920