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131290308 = 22342989157
BaseRepresentation
bin1111101001101…
…01010011000100
3100011001020110000
413310311103010
5232102242213
621010001300
73152643402
oct764652304
9304036400
10131290308
1168123396
1237b76230
132127ab96
1413618472
15b7d5c73
hex7d354c4

131290308 has 120 divisors (see below), whose sum is σ = 361330200. Its totient is φ = 41513472.

The previous prime is 131290283. The next prime is 131290321. The reversal of 131290308 is 803092131.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 129004164 = 1512^2 + 11358^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 836166 + ... + 836322.

It is an arithmetic number, because the mean of its divisors is an integer number (3011085).

Almost surely, 2131290308 is an apocalyptic number.

131290308 is a gapful number since it is divisible by the number (18) 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 131290308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180665100).

131290308 is an abundant number, since it is smaller than the sum of its proper divisors (230039892).

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

131290308 is a wasteful number, since it uses less digits than its factorization.

131290308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131290308 is about 11458.1982876890. The cubic root of 131290308 is about 508.2501970882.

The spelling of 131290308 in words is "one hundred thirty-one million, two hundred ninety thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 89 108 116 157 162 174 178 261 267 314 324 348 356 471 522 534 628 783 801 942 1044 1068 1413 1566 1602 1884 2349 2403 2581 2826 3132 3204 4239 4553 4698 4806 5162 5652 7209 7743 8478 9106 9396 9612 10324 12717 13659 13973 14418 15486 16956 18212 23229 25434 27318 27946 28836 30972 40977 41919 46458 50868 54636 55892 69687 81954 83838 92916 122931 125757 139374 163908 167676 209061 245862 251514 278748 368793 377271 405217 418122 491724 503028 737586 754542 810434 836244 1131813 1215651 1475172 1509084 1620868 2263626 2431302 3646953 4527252 4862604 7293906 10940859 14587812 21881718 32822577 43763436 65645154 131290308