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132984580 = 2256649229
BaseRepresentation
bin1111110110100…
…10111100000100
3100021020022112211
413323102330010
5233021001310
621110153204
73203231101
oct773227404
9307208484
10132984580
1169080313
1238652804
1321722101
1413939aa8
15ba1cc8a
hex7ed2f04

132984580 has 12 divisors (see below), whose sum is σ = 279267660. Its totient is φ = 53193824.

The previous prime is 132984563. The next prime is 132984583. The reversal of 132984580 is 85489231.

132984580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99042304 + 33942276 = 9952^2 + 5826^2 .

It is not an unprimeable number, because it can be changed into a prime (132984583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3324595 + ... + 3324634.

It is an arithmetic number, because the mean of its divisors is an integer number (23272305).

Almost surely, 2132984580 is an apocalyptic number.

132984580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132984580 is an abundant number, since it is smaller than the sum of its proper divisors (146283080).

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

132984580 is a wasteful number, since it uses less digits than its factorization.

132984580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649238 (or 6649236 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 132984580 is about 11531.8940335055. The cubic root of 132984580 is about 510.4271443932.

The spelling of 132984580 in words is "one hundred thirty-two million, nine hundred eighty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 6649229 13298458 26596916 33246145 66492290 132984580