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131642460 = 223255313799
BaseRepresentation
bin1111101100010…
…11010001011100
3100011201010111200
413312023101130
5232200024320
621021315500
73155641155
oct766132134
9304633450
10131642460
1168343a24
1238105b90
1321372261
14136aa92c
15b855290
hex7d8b45c

131642460 has 72 divisors (see below), whose sum is σ = 406879200. Its totient is φ = 34439808.

The previous prime is 131642443. The next prime is 131642473. The reversal of 131642460 is 64246131.

131642460 is a `hidden beast` number, since 13 + 1 + 642 + 4 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641 + ... + 16439.

It is an arithmetic number, because the mean of its divisors is an integer number (5651100).

Almost surely, 2131642460 is an apocalyptic number.

131642460 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 131642460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203439600).

131642460 is an abundant number, since it is smaller than the sum of its proper divisors (275236740).

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

131642460 is a wasteful number, since it uses less digits than its factorization.

131642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13867 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131642460 is about 11473.5548109555. The cubic root of 131642460 is about 508.7042075951.

Adding to 131642460 its reverse (64246131), we get a palindrome (195888591).

The spelling of 131642460 in words is "one hundred thirty-one million, six hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 13799 27598 41397 55196 68995 82794 124191 137990 165588 206985 248382 275980 413970 496764 620955 731347 827940 1241910 1462694 2194041 2483820 2925388 3656735 4388082 6582123 7313470 8776164 10970205 13164246 14626940 21940410 26328492 32910615 43880820 65821230 131642460