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131347992 = 23331533331
BaseRepresentation
bin1111101010000…
…11011000011000
3100011011011120110
413311003120120
5232111113432
621011124320
73153303516
oct765033030
9304134513
10131347992
1168162766
1237ba36a0
132129b209
14136314b6
15b7e7dcc
hex7d43618

131347992 has 64 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 41558400.

The previous prime is 131347987. The next prime is 131348003. The reversal of 131347992 is 299743131.

It is a self number, because there is not a number n which added to its sum of digits gives 131347992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37767 + ... + 41097.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2131347992 is an apocalyptic number.

131347992 is a gapful number since it is divisible by the number (12) 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 131347992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

131347992 is an abundant number, since it is smaller than the sum of its proper divisors (214113768).

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

131347992 is a wasteful number, since it uses less digits than its factorization.

131347992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3420 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 131347992 is about 11460.7151609313. The cubic root of 131347992 is about 508.3246214996.

The spelling of 131347992 in words is "one hundred thirty-one million, three hundred forty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 3286 3331 4929 6572 6662 9858 9993 13144 13324 19716 19986 26648 39432 39972 79944 103261 176543 206522 309783 353086 413044 529629 619566 706172 826088 1059258 1239132 1412344 2118516 2478264 4237032 5472833 10945666 16418499 21891332 32836998 43782664 65673996 131347992