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131407040 = 2651921613
BaseRepresentation
bin1111101010100…
…01110011000000
3100011021011120102
413311101303000
5232120011130
621012301532
73153640622
oct765216300
9304234512
10131407040
11681a3066
12380118a8
13212bc05b
1413648c12
15b80a645
hex7d51cc0

131407040 has 56 divisors (see below), whose sum is σ = 329397360. Its totient is φ = 49794048.

The previous prime is 131407039. The next prime is 131407043. The reversal of 131407040 is 40704131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131407043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4727 + ... + 16886.

Almost surely, 2131407040 is an apocalyptic number.

131407040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131407040 is an abundant number, since it is smaller than the sum of its proper divisors (197990320).

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

131407040 is a wasteful number, since it uses less digits than its factorization.

131407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21649 (or 21639 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 131407040 is about 11463.2909759807. The cubic root of 131407040 is about 508.4007831905.

The spelling of 131407040 in words is "one hundred thirty-one million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 21613 43226 86452 108065 172904 216130 345808 410647 432260 691616 821294 864520 1383232 1642588 1729040 2053235 3285176 3458080 4106470 6570352 6916160 8212940 13140704 16425880 26281408 32851760 65703520 131407040