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131460660 = 223251742961
BaseRepresentation
bin1111101010111…
…10111000110100
3100011100220010100
413311132320310
5232123220120
621013354100
73154253142
oct765367064
9304326110
10131460660
116822a381
1238038930
132130a596
1413660592
15b81b490
hex7d5ee34

131460660 has 72 divisors (see below), whose sum is σ = 422230536. Its totient is φ = 32993280.

The previous prime is 131460611. The next prime is 131460671. The reversal of 131460660 is 66064131.

It can be written as a sum of positive squares in 4 ways, for example, as 7717284 + 123743376 = 2778^2 + 11124^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18421 + ... + 24540.

It is an arithmetic number, because the mean of its divisors is an integer number (5864313).

Almost surely, 2131460660 is an apocalyptic number.

131460660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131460660 is an abundant number, since it is smaller than the sum of its proper divisors (290769876).

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

131460660 is a wasteful number, since it uses less digits than its factorization.

131460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42993 (or 42988 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131460660 is about 11465.6295073581. The cubic root of 131460660 is about 508.4699239382.

The spelling of 131460660 in words is "one hundred thirty-one million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 42961 85922 128883 171844 214805 257766 386649 429610 515532 644415 730337 773298 859220 1288830 1460674 1546596 1933245 2191011 2577660 2921348 3651685 3866490 4382022 6573033 7303370 7732980 8764044 10955055 13146066 14606740 21910110 26292132 32865165 43820220 65730330 131460660