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131478560 = 255821741
BaseRepresentation
bin1111101011000…
…11010000100000
3100011101210200022
413311203100200
5232124303220
621014013012
73154356263
oct765432040
9304353608
10131478560
1168241874
1238047168
1321315785
1413666cda
15b821925
hex7d63420

131478560 has 24 divisors (see below), whose sum is σ = 310618476. Its totient is φ = 52591360.

The previous prime is 131478559. The next prime is 131478601. The reversal of 131478560 is 65874131.

It can be written as a sum of positive squares in 2 ways, for example, as 121264144 + 10214416 = 11012^2 + 3196^2 .

It is a super-2 number, since 2×1314785602 = 34573223479347200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131478560.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410711 + ... + 411030.

Almost surely, 2131478560 is an apocalyptic number.

131478560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131478560 is an abundant number, since it is smaller than the sum of its proper divisors (179139916).

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

131478560 is an equidigital number, since it uses as much as digits as its factorization.

131478560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821756 (or 821748 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 131478560 is about 11466.4100746485. The cubic root of 131478560 is about 508.4930010539.

The spelling of 131478560 in words is "one hundred thirty-one million, four hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 821741 1643482 3286964 4108705 6573928 8217410 13147856 16434820 26295712 32869640 65739280 131478560