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131923920 = 2435549683
BaseRepresentation
bin1111101110011…
…11111111010000
3100012020102121010
413313033333100
5232233031140
621031330520
73161222562
oct767177720
9305212533
10131923920
1168516437
1238220a40
13214403bb
1413741332
15b8ad880
hex7dcffd0

131923920 has 40 divisors (see below), whose sum is σ = 408964896. Its totient is φ = 35179648.

The previous prime is 131923919. The next prime is 131923931. The reversal of 131923920 is 29329131.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274602 + ... + 275081.

Almost surely, 2131923920 is an apocalyptic number.

131923920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131923920 is an abundant number, since it is smaller than the sum of its proper divisors (277040976).

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

131923920 is a wasteful number, since it uses less digits than its factorization.

131923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549699 (or 549693 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 131923920 is about 11485.8138588434. The cubic root of 131923920 is about 509.0664968968.

The spelling of 131923920 in words is "one hundred thirty-one million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 549683 1099366 1649049 2198732 2748415 3298098 4397464 5496830 6596196 8245245 8794928 10993660 13192392 16490490 21987320 26384784 32980980 43974640 65961960 131923920