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131795790 = 2357289657
BaseRepresentation
bin1111101101100…
…00101101001110
3100011222220211120
413312300231032
5232214431130
621024501410
73160150200
oct766605516
9304886746
10131795790
1168439145
123817a866
13213c6c99
141370a770
15b885910
hex7db0b4e

131795790 has 48 divisors (see below), whose sum is σ = 367956432. Its totient is φ = 30124416.

The previous prime is 131795777. The next prime is 131795801. The reversal of 131795790 is 97597131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43359 + ... + 46298.

It is an arithmetic number, because the mean of its divisors is an integer number (7665759).

Almost surely, 2131795790 is an apocalyptic number.

131795790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131795790 is an abundant number, since it is smaller than the sum of its proper divisors (236160642).

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

131795790 is a wasteful number, since it uses less digits than its factorization.

131795790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89681 (or 89674 counting only the distinct ones).

The product of its (nonzero) digits is 59535, while the sum is 42.

The square root of 131795790 is about 11480.2347536973. The cubic root of 131795790 is about 508.9016346575.

The spelling of 131795790 in words is "one hundred thirty-one million, seven hundred ninety-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 89657 179314 268971 448285 537942 627599 896570 1255198 1344855 1882797 2689710 3137995 3765594 4393193 6275990 8786386 9413985 13179579 18827970 21965965 26359158 43931930 65897895 131795790