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131661260 = 225171989229
BaseRepresentation
bin1111101100011…
…11110111001100
3100011202002021222
413312033313030
5232201130020
621021542512
73156050033
oct766176714
9304662258
10131661260
1168357065
1238114a38
132137a993
14136b371a
15b85ab25
hex7d8fdcc

131661260 has 96 divisors (see below), whose sum is σ = 312984000. Its totient is φ = 46227456.

The previous prime is 131661251. The next prime is 131661263. The reversal of 131661260 is 62166131.

It is not an unprimeable number, because it can be changed into a prime (131661263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574826 + ... + 575054.

It is an arithmetic number, because the mean of its divisors is an integer number (3260250).

Almost surely, 2131661260 is an apocalyptic number.

131661260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131661260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156492000).

131661260 is an abundant number, since it is smaller than the sum of its proper divisors (181322740).

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

131661260 is a wasteful number, since it uses less digits than its factorization.

131661260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 131661260 is about 11474.3740570020. The cubic root of 131661260 is about 508.7284226391.

The spelling of 131661260 in words is "one hundred thirty-one million, six hundred sixty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 89 95 170 178 190 229 323 340 356 380 445 458 646 890 916 1145 1292 1513 1615 1691 1780 2290 3026 3230 3382 3893 4351 4580 6052 6460 6764 7565 7786 8455 8702 15130 15572 16910 17404 19465 20381 21755 28747 30260 33820 38930 40762 43510 57494 73967 77860 81524 87020 101905 114988 143735 147934 203810 287470 295868 346477 369835 387239 407620 574940 692954 739670 774478 1385908 1479340 1548956 1732385 1936195 3464770 3872390 6583063 6929540 7744780 13166126 26332252 32915315 65830630 131661260