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131791032 = 23321830431
BaseRepresentation
bin1111101101011…
…11100010111000
3100011222200022100
413312233202320
5232214303112
621024423400
73160130262
oct766574270
9304880270
10131791032
116843560a
1238177b60
13213c4a79
1413708b32
15b8842dc
hex7daf8b8

131791032 has 24 divisors (see below), whose sum is σ = 356934240. Its totient is φ = 43930320.

The previous prime is 131791027. The next prime is 131791057. The reversal of 131791032 is 230197131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1317910322 = 34737752231250048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131790987 and 131791005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 915144 + ... + 915287.

It is an arithmetic number, because the mean of its divisors is an integer number (14872260).

Almost surely, 2131791032 is an apocalyptic number.

131791032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131791032 is an abundant number, since it is smaller than the sum of its proper divisors (225143208).

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

131791032 is a wasteful number, since it uses less digits than its factorization.

131791032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830443 (or 1830436 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131791032 is about 11480.0275260994. The cubic root of 131791032 is about 508.8955105794.

The spelling of 131791032 in words is "one hundred thirty-one million, seven hundred ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1830431 3660862 5491293 7321724 10982586 14643448 16473879 21965172 32947758 43930344 65895516 131791032