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131474640 = 24351149801
BaseRepresentation
bin1111101011000…
…10010011010000
3100011101121022010
413311202103100
5232124142030
621013542520
73154341663
oct765422320
9304347263
10131474640
1168239930
1238044a40
1321313a5b
14136656da
15b8206b0
hex7d624d0

131474640 has 80 divisors (see below), whose sum is σ = 444632256. Its totient is φ = 31872000.

The previous prime is 131474639. The next prime is 131474669. The reversal of 131474640 is 46474131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131474598 and 131474607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22261 + ... + 27540.

Almost surely, 2131474640 is an apocalyptic number.

131474640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131474640 is an abundant number, since it is smaller than the sum of its proper divisors (313157616).

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

131474640 is a wasteful number, since it uses less digits than its factorization.

131474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49828 (or 49822 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 131474640 is about 11466.2391393168. The cubic root of 131474640 is about 508.4879474736.

The spelling of 131474640 in words is "one hundred thirty-one million, four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 49801 99602 149403 199204 249005 298806 398408 498010 547811 597612 747015 796816 996020 1095622 1195224 1494030 1643433 1992040 2191244 2390448 2739055 2988060 3286866 3984080 4382488 5478110 5976120 6573732 8217165 8764976 10956220 11952240 13147464 16434330 21912440 26294928 32868660 43824880 65737320 131474640