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131090760 = 23325364141
BaseRepresentation
bin1111101000001…
…00100101001000
3100010200002201100
413310010211020
5232024401020
621001421400
73151152543
oct764044510
9303602640
10131090760
1167aa7479
1237a9a860
132120b0c8
14135a585a
15b796a90
hex7d04948

131090760 has 48 divisors (see below), whose sum is σ = 426046140. Its totient is φ = 34957440.

The previous prime is 131090753. The next prime is 131090767. The reversal of 131090760 is 67090131.

It is an interprime number because it is at equal distance from previous prime (131090753) and next prime (131090767).

It can be written as a sum of positive squares in 2 ways, for example, as 130919364 + 171396 = 11442^2 + 414^2 .

It is not an unprimeable number, because it can be changed into a prime (131090767) 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 11 ways as a sum of consecutive naturals, for example, 181711 + ... + 182430.

Almost surely, 2131090760 is an apocalyptic number.

131090760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131090760 is an abundant number, since it is smaller than the sum of its proper divisors (294955380).

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

131090760 is a wasteful number, since it uses less digits than its factorization.

131090760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364158 (or 364151 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131090760 is about 11449.4873247670. The cubic root of 131090760 is about 507.9925702098.

The spelling of 131090760 in words is "one hundred thirty-one million, ninety 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 364141 728282 1092423 1456564 1820705 2184846 2913128 3277269 3641410 4369692 5462115 6554538 7282820 8739384 10924230 13109076 14565640 16386345 21848460 26218152 32772690 43696920 65545380 131090760