1306368090 has 48 divisors (see below), whose sum is σ = 3411189288. Its totient is φ = 346864128.

The previous prime is 1306368083. The next prime is 1306368097. The reversal of 1306368090 is 908636031.

It is a happy number.

1306368090 is a `hidden beast` number, since 13 + 0 + 636 + 8 + 0 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1306368083) and next prime (1306368097).

It can be written as a sum of positive squares in 4 ways, for example, as 747092889 + 559275201 = 27333^2 + 23649^2 .

It is a super-3 number, since 3×1306368090³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306368097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10179 + ... + 52118.

Almost surely, 2^1306368090 is an apocalyptic number.

1306368090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1306368090 is an abundant number, since it is smaller than the sum of its proper divisors (2104821198).

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

1306368090 is a wasteful number, since it uses less digits than its factorization.

1306368090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62543 (or 62540 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1306368090 is about 36143.7143913018. The cubic root of 1306368090 is about 1093.1720549793.

The spelling of 1306368090 in words is "one billion, three hundred six million, three hundred sixty-eight thousand, ninety".