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131053260 = 2235131937239
BaseRepresentation
bin1111100111110…
…11011011001100
3100010121012021110
413303323123030
5232022201020
621000532020
73150635322
oct763733314
9303535243
10131053260
1167a81288
1237a81010
13211c7010
1413595d12
15b78a8e0
hex7cfb6cc

131053260 has 192 divisors, whose sum is σ = 429004800. Its totient is φ = 29611008.

The previous prime is 131053253. The next prime is 131053277. The reversal of 131053260 is 62350131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548221 + ... + 548459.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2131053260 is an apocalyptic number.

131053260 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 131053260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

131053260 is an abundant number, since it is smaller than the sum of its proper divisors (297951540).

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

131053260 is a wasteful number, since it uses less digits than its factorization.

131053260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131053260 is about 11447.8495797246. The cubic root of 131053260 is about 507.9441265765.

The spelling of 131053260 in words is "one hundred thirty-one million, fifty-three thousand, two hundred sixty".