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131085060 = 22353675953
BaseRepresentation
bin1111101000000…
…11001100000100
3100010122210220020
413310003030010
5232024210220
621001335140
73151130121
oct764031404
9303583806
10131085060
1167aa3167
1237a974b0
1321208632
14135a3748
15b795040
hex7d03304

131085060 has 48 divisors (see below), whose sum is σ = 368100096. Its totient is φ = 34854912.

The previous prime is 131085049. The next prime is 131085061. The reversal of 131085060 is 60580131.

It is a self number, because there is not a number n which added to its sum of digits gives 131085060.

It is not an unprimeable number, because it can be changed into a prime (131085061) 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 15 ways as a sum of consecutive naturals, for example, 19044 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (7668752).

Almost surely, 2131085060 is an apocalyptic number.

131085060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131085060 is an abundant number, since it is smaller than the sum of its proper divisors (237015036).

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

131085060 is a wasteful number, since it uses less digits than its factorization.

131085060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 131085060 is about 11449.2384026188. The cubic root of 131085060 is about 507.9852073730.

The spelling of 131085060 in words is "one hundred thirty-one million, eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1835 2202 3670 4404 5505 5953 7340 11010 11906 17859 22020 23812 29765 35718 59530 71436 89295 119060 178590 357180 2184751 4369502 6554253 8739004 10923755 13108506 21847510 26217012 32771265 43695020 65542530 131085060