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131183990 = 2576783337
BaseRepresentation
bin1111101000110…
…11010101110110
3100010211211121022
413310123111312
5232040341430
621003421142
73152021420
oct764332566
9303754538
10131183990
1168060523
1237b247b2
1321241682
14135cb810
15b7b44e5
hex7d1b576

131183990 has 64 divisors (see below), whose sum is σ = 278014464. Its totient is φ = 43642368.

The previous prime is 131183989. The next prime is 131184017. The reversal of 131183990 is 99381131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131183990.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389102 + ... + 389438.

It is an arithmetic number, because the mean of its divisors is an integer number (4343976).

Almost surely, 2131183990 is an apocalyptic number.

131183990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131183990 is an abundant number, since it is smaller than the sum of its proper divisors (146830474).

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

131183990 is a wasteful number, since it uses less digits than its factorization.

131183990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 131183990 is about 11453.5579624848. The cubic root of 131183990 is about 508.1129675194.

The spelling of 131183990 in words is "one hundred thirty-one million, one hundred eighty-three thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 67 70 83 134 166 335 337 415 469 581 670 674 830 938 1162 1685 2345 2359 2905 3370 4690 4718 5561 5810 11122 11795 22579 23590 27805 27971 38927 45158 55610 55942 77854 112895 139855 158053 194635 195797 225790 279710 316106 389270 391594 790265 978985 1580530 1874057 1957970 3748114 9370285 13118399 18740570 26236798 65591995 131183990