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131630760 = 23325365641
BaseRepresentation
bin1111101100010…
…00011010101000
3100011200112110100
413312020122220
5232144141020
621021145400
73155562102
oct766103250
9304615410
10131630760
1168336158
12380bb260
1321369b31
14136a6572
15b851a90
hex7d886a8

131630760 has 48 divisors (see below), whose sum is σ = 427801140. Its totient is φ = 35101440.

The previous prime is 131630749. The next prime is 131630773. The reversal of 131630760 is 67036131.

It can be written as a sum of positive squares in 2 ways, for example, as 131469156 + 161604 = 11466^2 + 402^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 182461 + ... + 183180.

Almost surely, 2131630760 is an apocalyptic number.

131630760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131630760 is an abundant number, since it is smaller than the sum of its proper divisors (296170380).

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

131630760 is a wasteful number, since it uses less digits than its factorization.

131630760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365658 (or 365651 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 131630760 is about 11473.0449314905. The cubic root of 131630760 is about 508.6891364305.

Adding to 131630760 its reverse (67036131), we get a palindrome (198666891).

The spelling of 131630760 in words is "one hundred thirty-one million, six hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 365641 731282 1096923 1462564 1828205 2193846 2925128 3290769 3656410 4387692 5484615 6581538 7312820 8775384 10969230 13163076 14625640 16453845 21938460 26326152 32907690 43876920 65815380 131630760