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131140296 = 2335723419
BaseRepresentation
bin1111101000100…
…00101011001000
3100010202121200000
413310100223020
5232032442141
621002443000
73151450140
oct764205310
9303677600
10131140296
1168030711
1237b03460
1321227811
14135b9920
15b7a65b6
hex7d10ac8

131140296 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 35754048.

The previous prime is 131140283. The next prime is 131140307. The reversal of 131140296 is 692041131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312775 + ... + 313193.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2131140296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131140296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

131140296 is an abundant number, since it is smaller than the sum of its proper divisors (309154104).

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

131140296 is a wasteful number, since it uses less digits than its factorization.

131140296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

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

The square root of 131140296 is about 11451.6503614108. The cubic root of 131140296 is about 508.0565481515.

The spelling of 131140296 in words is "one hundred thirty-one million, one hundred forty thousand, two hundred ninety-six".