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131409795 = 351119167251
BaseRepresentation
bin1111101010100…
…10011110000011
3100011021022100110
413311102132003
5232120103140
621012322403
73153651636
oct765223603
9304238313
10131409795
11681a5140
1238013403
13212c039a
1413649c1d
15b80b380
hex7d52783

131409795 has 64 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 59760000.

The previous prime is 131409793. The next prime is 131409823. The reversal of 131409795 is 597904131.

It is a happy number.

It is not a de Polignac number, because 131409795 - 21 = 131409793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131409793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523420 + ... + 523670.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2131409795 is an apocalyptic number.

131409795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131409795 is a deficient number, since it is larger than the sum of its proper divisors (112445565).

131409795 is a wasteful number, since it uses less digits than its factorization.

131409795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 131409795 is about 11463.4111415407. The cubic root of 131409795 is about 508.4043361061.

The spelling of 131409795 in words is "one hundred thirty-one million, four hundred nine thousand, seven hundred ninety-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 167 209 251 285 501 627 753 835 1045 1255 1837 2505 2761 3135 3173 3765 4769 5511 8283 9185 9519 13805 14307 15865 23845 27555 34903 41415 41917 47595 52459 71535 104709 125751 157377 174515 209585 262295 461087 523545 628755 786885 796423 1383261 2305435 2389269 3982115 6916305 8760653 11946345 26281959 43803265 131409795