1305930240 has 120 divisors (see below), whose sum is σ = 4522883508. Its totient is φ = 348241920.

The previous prime is 1305930187. The next prime is 1305930289. The reversal of 1305930240 is 420395031.

1305930240 is a `hidden beast` number, since 1 + 30 + 593 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1299458304 + 6471936 = 36048^2 + 2544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5301 + ... + 51380.

Almost surely, 2^1305930240 is an apocalyptic number.

1305930240 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 1305930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261441754).

1305930240 is an abundant number, since it is smaller than the sum of its proper divisors (3216953268).

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

1305930240 is an equidigital number, since it uses as much as digits as its factorization.

1305930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56710 (or 56691 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1305930240 is about 36137.6568139109. The cubic root of 1305930240 is about 1093.0499100103.

The spelling of 1305930240 in words is "one billion, three hundred five million, nine hundred thirty thousand, two hundred forty".