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132163020 = 223251166749
BaseRepresentation
bin1111110000010…
…10010111001100
3100012200120120200
413320022113030
5232313204040
621040413500
73163236633
oct770122714
9305616520
10132163020
116866a040
1238317290
13214c5192
14137a451a
15b909630
hex7e0a5cc

132163020 has 72 divisors (see below), whose sum is σ = 437346000. Its totient is φ = 32039040.

The previous prime is 132163019. The next prime is 132163043. The reversal of 132163020 is 20361231.

132163020 is a `hidden beast` number, since 1 + 32 + 1 + 630 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132162984 and 132163002.

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, 31395 + ... + 35354.

It is an arithmetic number, because the mean of its divisors is an integer number (6074250).

Almost surely, 2132163020 is an apocalyptic number.

132163020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132163020 is an abundant number, since it is smaller than the sum of its proper divisors (305182980).

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

132163020 is a wasteful number, since it uses less digits than its factorization.

132163020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66775 (or 66770 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132163020 is about 11496.2176388584. The cubic root of 132163020 is about 509.3738567227.

The spelling of 132163020 in words is "one hundred thirty-two million, one hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 66749 133498 200247 266996 333745 400494 600741 667490 734239 800988 1001235 1201482 1334980 1468478 2002470 2202717 2402964 2936956 3003705 3671195 4004940 4405434 6007410 6608151 7342390 8810868 11013585 12014820 13216302 14684780 22027170 26432604 33040755 44054340 66081510 132163020