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131166640 = 24511149053
BaseRepresentation
bin1111101000101…
…11000110110000
3100010210221210201
413310113012300
5232034313030
621003204544
73151620013
oct764270660
9303727721
10131166640
1168049490
1237b16754
13212367c7
14135c537a
15b7ae2ca
hex7d171b0

131166640 has 40 divisors (see below), whose sum is σ = 332688528. Its totient is φ = 47696640.

The previous prime is 131166587. The next prime is 131166647. The reversal of 131166640 is 46661131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131166599 and 131166608.

It is not an unprimeable number, because it can be changed into a prime (131166647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73647 + ... + 75406.

Almost surely, 2131166640 is an apocalyptic number.

131166640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131166640 is an abundant number, since it is smaller than the sum of its proper divisors (201521888).

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

131166640 is a wasteful number, since it uses less digits than its factorization.

131166640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149077 (or 149071 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131166640 is about 11452.8005308745. The cubic root of 131166640 is about 508.0905660341.

The spelling of 131166640 in words is "one hundred thirty-one million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 149053 298106 596212 745265 1192424 1490530 1639583 2384848 2981060 3279166 5962120 6558332 8197915 11924240 13116664 16395830 26233328 32791660 65583320 131166640