1306050240 has 224 divisors, whose sum is σ = 4549469184. Its totient is φ = 314818560.

The previous prime is 1306050233. The next prime is 1306050287. The reversal of 1306050240 is 420506031.

1306050240 = 436² + 437² + ... + 1587².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558537 + ... + 3558903.

Almost surely, 2^1306050240 is an apocalyptic number.

1306050240 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 1306050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274734592).

1306050240 is an abundant number, since it is smaller than the sum of its proper divisors (3243418944).

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

1306050240 is a wasteful number, since it uses less digits than its factorization.

1306050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1306050240 is about 36139.3170937139. The cubic root of 1306050240 is about 1093.0833885653.

Adding to 1306050240 its reverse (420506031), we get a palindrome (1726556271).

The spelling of 1306050240 in words is "one billion, three hundred six million, fifty thousand, two hundred forty".