130293240 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 26503680.

The previous prime is 130293227. The next prime is 130293263. The reversal of 130293240 is 42392031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130293240.

It is a congruent number.

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, 545041 + ... + 545279.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^130293240 is an apocalyptic number.

130293240 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 130293240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

130293240 is an abundant number, since it is smaller than the sum of its proper divisors (367370760).

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

130293240 is a wasteful number, since it uses less digits than its factorization.

130293240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130293240 is about 11414.6064321114. The cubic root of 130293240 is about 506.9603118527.

The spelling of 130293240 in words is "one hundred thirty million, two hundred ninety-three thousand, two hundred forty".