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131539248 = 2433304489
BaseRepresentation
bin1111101011100…
…10000100110000
3100011111212221000
413311302010300
5232133223443
621015202000
73155031231
oct765620460
9304455830
10131539248
1168283425
1238076300
1321337299
1413681088
15b8348d3
hex7d72130

131539248 has 40 divisors (see below), whose sum is σ = 377567600. Its totient is φ = 43846272.

The previous prime is 131539237. The next prime is 131539297. The reversal of 131539248 is 842935131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151813 + ... + 152676.

It is an arithmetic number, because the mean of its divisors is an integer number (9439190).

Almost surely, 2131539248 is an apocalyptic number.

131539248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131539248 is an abundant number, since it is smaller than the sum of its proper divisors (246028352).

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

131539248 is a wasteful number, since it uses less digits than its factorization.

131539248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304506 (or 304494 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 131539248 is about 11469.0561076315. The cubic root of 131539248 is about 508.5712259154.

The spelling of 131539248 in words is "one hundred thirty-one million, five hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 304489 608978 913467 1217956 1826934 2435912 2740401 3653868 4871824 5480802 7307736 8221203 10961604 14615472 16442406 21923208 32884812 43846416 65769624 131539248