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132817930 = 2572271057
BaseRepresentation
bin1111110101010…
…10010000001010
3100020220211221121
413322222100022
5233000133210
621102425454
73201635200
oct772522012
9306824847
10132817930
1168a77093
123859228a
13216942bb
14138d5070
15b9d86da
hex7eaa40a

132817930 has 24 divisors (see below), whose sum is σ = 278105508. Its totient is φ = 45537408.

The previous prime is 132817907. The next prime is 132817931. The reversal of 132817930 is 39718231.

It can be written as a sum of positive squares in 2 ways, for example, as 131951169 + 866761 = 11487^2 + 931^2 .

It is not an unprimeable number, because it can be changed into a prime (132817931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135039 + ... + 136018.

Almost surely, 2132817930 is an apocalyptic number.

132817930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132817930 is an abundant number, since it is smaller than the sum of its proper divisors (145287578).

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

132817930 is a wasteful number, since it uses less digits than its factorization.

132817930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271078 (or 271071 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 132817930 is about 11524.6661556854. Note that the first 3 decimals coincide. The cubic root of 132817930 is about 510.2138408644.

The spelling of 132817930 in words is "one hundred thirty-two million, eight hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 271057 542114 1355285 1897399 2710570 3794798 9486995 13281793 18973990 26563586 66408965 132817930