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132316840 = 2354180681
BaseRepresentation
bin1111110001011…
…11111010101000
3100012222101120201
413320233322220
5232333114330
621044001544
73164450245
oct770577250
9305871521
10132316840
1168764667
12383902b4
132154a1b6
14138045cc
15b939eca
hex7e2fea8

132316840 has 32 divisors (see below), whose sum is σ = 304977960. Its totient is φ = 51635200.

The previous prime is 132316837. The next prime is 132316867. The reversal of 132316840 is 48613231.

132316840 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 4 ways, for example, as 114961284 + 17355556 = 10722^2 + 4166^2 .

It is a super-2 number, since 2×1323168402 = 35015492295171200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132316799 and 132316808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38701 + ... + 41980.

Almost surely, 2132316840 is an apocalyptic number.

132316840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132316840 is an abundant number, since it is smaller than the sum of its proper divisors (172661120).

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

132316840 is a wasteful number, since it uses less digits than its factorization.

132316840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80733 (or 80729 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 132316840 is about 11502.9057198605. The cubic root of 132316840 is about 509.5713943527.

The spelling of 132316840 in words is "one hundred thirty-two million, three hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 80681 161362 322724 403405 645448 806810 1613620 3227240 3307921 6615842 13231684 16539605 26463368 33079210 66158420 132316840