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131287392 = 253450651
BaseRepresentation
bin1111101001101…
…00100101100000
3100011001002110000
413310310211200
5232102144032
621005540000
73152632035
oct764644540
9304032400
10131287392
1168121185
1237b74600
1321279762
141361738c
15b7d4e7c
hex7d34960

131287392 has 60 divisors (see below), whose sum is σ = 386120196. Its totient is φ = 43761600.

The previous prime is 131287391. The next prime is 131287411. The reversal of 131287392 is 293782131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131287391) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 22734 + ... + 27917.

Almost surely, 2131287392 is an apocalyptic number.

131287392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131287392 is an abundant number, since it is smaller than the sum of its proper divisors (254832804).

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

131287392 is an equidigital number, since it uses as much as digits as its factorization.

131287392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50673 (or 50656 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 131287392 is about 11458.0710418464. The cubic root of 131287392 is about 508.2464342602.

The spelling of 131287392 in words is "one hundred thirty-one million, two hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 50651 101302 151953 202604 303906 405208 455859 607812 810416 911718 1215624 1367577 1620832 1823436 2431248 2735154 3646872 4102731 4862496 5470308 7293744 8205462 10940616 14587488 16410924 21881232 32821848 43762464 65643696 131287392