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131630440 = 23518118181
BaseRepresentation
bin1111101100010…
…00010101101000
3100011200112000111
413312020111220
5232144133230
621021144104
73155561134
oct766102550
9304615014
10131630440
1168335997
12380bb034
1321369946
14136a63c4
15b85192a
hex7d88568

131630440 has 32 divisors (see below), whose sum is σ = 297821160. Its totient is φ = 52358400.

The previous prime is 131630431. The next prime is 131630441. The reversal of 131630440 is 44036131.

It can be written as a sum of positive squares in 4 ways, for example, as 98843364 + 32787076 = 9942^2 + 5726^2 .

It is not an unprimeable number, because it can be changed into a prime (131630441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 16330.

Almost surely, 2131630440 is an apocalyptic number.

131630440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131630440 is an abundant number, since it is smaller than the sum of its proper divisors (166190720).

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

131630440 is a wasteful number, since it uses less digits than its factorization.

131630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131630440 is about 11473.0309857509. The cubic root of 131630440 is about 508.6887242151.

Adding to 131630440 its reverse (44036131), we get a palindrome (175666571).

The spelling of 131630440 in words is "one hundred thirty-one million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 18181 36362 72724 90905 145448 181810 363620 727240 3290761 6581522 13163044 16453805 26326088 32907610 65815220 131630440