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131312040 = 23351957593
BaseRepresentation
bin1111101001110…
…10100110101000
3100011002100020220
413310322212220
5232103441130
621010250040
73153063636
oct764724650
9304070226
10131312040
1168138752
1237b86920
1321287a42
1413622356
15b7dc410
hex7d3a9a8

131312040 has 64 divisors (see below), whose sum is σ = 414676800. Its totient is φ = 33172992.

The previous prime is 131312033. The next prime is 131312047. The reversal of 131312040 is 40213131.

It is an interprime number because it is at equal distance from previous prime (131312033) and next prime (131312047).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131312047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26517 + ... + 31076.

It is an arithmetic number, because the mean of its divisors is an integer number (6479325).

Almost surely, 2131312040 is an apocalyptic number.

131312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312040 is an abundant number, since it is smaller than the sum of its proper divisors (283364760).

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

131312040 is a wasteful number, since it uses less digits than its factorization.

131312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57626 (or 57622 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131312040 is about 11459.1465650807. The cubic root of 131312040 is about 508.2782384673.

Adding to 131312040 its reverse (40213131), we get a palindrome (171525171).

The spelling of 131312040 in words is "one hundred thirty-one million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 57593 115186 172779 230372 287965 345558 460744 575930 691116 863895 1094267 1151860 1382232 1727790 2188534 2303720 3282801 3455580 4377068 5471335 6565602 6911160 8754136 10942670 13131204 16414005 21885340 26262408 32828010 43770680 65656020 131312040