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131684280 = 233571331389
BaseRepresentation
bin1111101100101…
…01011110111000
3100011210020212120
413312111132320
5232202344110
621022241240
73156204120
oct766253670
9304706776
10131684280
1168372392
1238126220
13213882c0
14136bbc80
15b862870
hex7d957b8

131684280 has 256 divisors, whose sum is σ = 503193600. Its totient is φ = 26818560.

The previous prime is 131684257. The next prime is 131684303. The reversal of 131684280 is 82486131.

It is an interprime number because it is at equal distance from previous prime (131684257) and next prime (131684303).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338326 + ... + 338714.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2131684280 is an apocalyptic number.

131684280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131684280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

131684280 is an abundant number, since it is smaller than the sum of its proper divisors (371509320).

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

131684280 is a wasteful number, since it uses less digits than its factorization.

131684280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 131684280 is about 11475.3771179861. The cubic root of 131684280 is about 508.7580700485.

The spelling of 131684280 in words is "one hundred thirty-one million, six hundred eighty-four thousand, two hundred eighty".