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132318580 = 22510936053
BaseRepresentation
bin1111110001100…
…00010101110100
3100012222110222011
413320300111310
5232333143310
621044014004
73164455312
oct770602564
9305873864
10132318580
11687659a9
1238391304
132154ac24
14138050b2
15b93a78a
hex7e30574

132318580 has 24 divisors (see below), whose sum is σ = 278169192. Its totient is φ = 52870272.

The previous prime is 132318569. The next prime is 132318587. The reversal of 132318580 is 85813231.

It can be written as a sum of positive squares in 4 ways, for example, as 19873764 + 112444816 = 4458^2 + 10604^2 .

It is a super-2 number, since 2×1323185802 = 35016413226432800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132318587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18834 + ... + 24886.

It is an arithmetic number, because the mean of its divisors is an integer number (11590383).

Almost surely, 2132318580 is an apocalyptic number.

132318580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132318580 is an abundant number, since it is smaller than the sum of its proper divisors (145850612).

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

132318580 is a wasteful number, since it uses less digits than its factorization.

132318580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 132318580 is about 11502.9813526755. The cubic root of 132318580 is about 509.5736280073.

The spelling of 132318580 in words is "one hundred thirty-two million, three hundred eighteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 1093 2186 4372 5465 6053 10930 12106 21860 24212 30265 60530 121060 6615929 13231858 26463716 33079645 66159290 132318580