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13131560 = 2351325253
BaseRepresentation
bin110010000101…
…111100101000
3220201011010002
4302011330220
511330202220
61145242132
7216421301
oct62057450
926634102
1013131560
117459a32
124493348
13294a070
141a5b7a8
151245c75
hexc85f28

13131560 has 32 divisors (see below), whose sum is σ = 31820040. Its totient is φ = 4848384.

The previous prime is 13131553. The next prime is 13131563. The reversal of 13131560 is 6513131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11383876 + 1747684 = 3374^2 + 1322^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13131563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12107 + ... + 13146.

Almost surely, 213131560 is an apocalyptic number.

13131560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131560 is an abundant number, since it is smaller than the sum of its proper divisors (18688480).

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

13131560 is a wasteful number, since it uses less digits than its factorization.

13131560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25277 (or 25273 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 13131560 is about 3623.7494394618. The cubic root of 13131560 is about 235.9239916100.

Adding to 13131560 its reverse (6513131), we get a palindrome (19644691).

The spelling of 13131560 in words is "thirteen million, one hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 25253 50506 101012 126265 202024 252530 328289 505060 656578 1010120 1313156 1641445 2626312 3282890 6565780 13131560