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131630040 = 23325365639
BaseRepresentation
bin1111101100010…
…00001111011000
3100011200111110200
413312020033120
5232144130130
621021142200
73155560023
oct766101730
9304614420
10131630040
1168335663
12380ba960
13213696c9
14136a61ba
15b851760
hex7d883d8

131630040 has 48 divisors (see below), whose sum is σ = 427798800. Its totient is φ = 35101248.

The previous prime is 131630017. The next prime is 131630041. The reversal of 131630040 is 40036131.

131630040 is a `hidden beast` number, since 1 + 31 + 630 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131629995 and 131630022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131630041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182460 + ... + 183179.

It is an arithmetic number, because the mean of its divisors is an integer number (8912475).

Almost surely, 2131630040 is an apocalyptic number.

131630040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131630040 is an abundant number, since it is smaller than the sum of its proper divisors (296168760).

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

131630040 is a wasteful number, since it uses less digits than its factorization.

131630040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365656 (or 365649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131630040 is about 11473.0135535525. The cubic root of 131630040 is about 508.6882089450.

Adding to 131630040 its reverse (40036131), we get a palindrome (171666171).

The spelling of 131630040 in words is "one hundred thirty-one million, six hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 365639 731278 1096917 1462556 1828195 2193834 2925112 3290751 3656390 4387668 5484585 6581502 7312780 8775336 10969170 13163004 14625560 16453755 21938340 26326008 32907510 43876680 65815020 131630040