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131342680 = 23571741673
BaseRepresentation
bin1111101010000…
…10000101011000
3100011010220021201
413311002011120
5232110431210
621011043544
73153252160
oct765020530
9304126251
10131342680
1168159777
1237ba05b4
1321298981
141362d5a0
15b7e653a
hex7d42158

131342680 has 128 divisors (see below), whose sum is σ = 366871680. Its totient is φ = 41287680.

The previous prime is 131342633. The next prime is 131342681. The reversal of 131342680 is 86243131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342681) 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, 194824 + ... + 195496.

It is an arithmetic number, because the mean of its divisors is an integer number (2866185).

Almost surely, 2131342680 is an apocalyptic number.

131342680 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 131342680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183435840).

131342680 is an abundant number, since it is smaller than the sum of its proper divisors (235529000).

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

131342680 is a wasteful number, since it uses less digits than its factorization.

131342680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 131342680 is about 11460.4834103977. The cubic root of 131342680 is about 508.3177688208.

The spelling of 131342680 in words is "one hundred thirty-one million, three hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 41 56 68 70 82 85 119 136 140 164 170 205 238 280 287 328 340 410 476 574 595 673 680 697 820 952 1148 1190 1346 1394 1435 1640 2296 2380 2692 2788 2870 3365 3485 4711 4760 4879 5384 5576 5740 6730 6970 9422 9758 11441 11480 13460 13940 18844 19516 22882 23555 24395 26920 27593 27880 37688 39032 45764 47110 48790 55186 57205 80087 91528 94220 97580 110372 114410 137965 160174 188440 193151 195160 220744 228820 275930 320348 386302 400435 457640 469081 551860 640696 772604 800870 938162 965755 1103720 1545208 1601740 1876324 1931510 2345405 3203480 3283567 3752648 3863020 4690810 6567134 7726040 9381620 13134268 16417835 18763240 26268536 32835670 65671340 131342680