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131900328 = 23327261707
BaseRepresentation
bin1111101110010…
…10001110101000
3100012012020020100
413313022032220
5232231302303
621031025400
73161064030
oct767121650
9305166210
10131900328
11684aa73a
123820b260
1321432741
14137368c0
15b8a68a3
hex7dca3a8

131900328 has 48 divisors (see below), whose sum is σ = 408264480. Its totient is φ = 37685664.

The previous prime is 131900317. The next prime is 131900333. The reversal of 131900328 is 823009131.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130350 + ... + 131357.

It is an arithmetic number, because the mean of its divisors is an integer number (8505510).

Almost surely, 2131900328 is an apocalyptic number.

131900328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131900328 is an abundant number, since it is smaller than the sum of its proper divisors (276364152).

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

131900328 is a wasteful number, since it uses less digits than its factorization.

131900328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261726 (or 261719 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131900328 is about 11484.7868069024. The cubic root of 131900328 is about 509.0361495755.

Adding to 131900328 its reverse (823009131), we get a palindrome (954909459).

The spelling of 131900328 in words is "one hundred thirty-one million, nine hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 261707 523414 785121 1046828 1570242 1831949 2093656 2355363 3140484 3663898 4710726 5495847 6280968 7327796 9421452 10991694 14655592 16487541 18842904 21983388 32975082 43966776 65950164 131900328