1307693140 has 24 divisors (see below), whose sum is σ = 2957398920. Its totient is φ = 482840448.

The previous prime is 1307693113. The next prime is 1307693141. The reversal of 1307693140 is 413967031.

It can be written as a sum of positive squares in 4 ways, for example, as 294671556 + 1013021584 = 17166^2 + 31828^2 .

It is a super-2 number, since 2×1307693140² = 3420122696806119200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1307693096 and 1307693105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307693141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2514535 + ... + 2515054.

It is an arithmetic number, because the mean of its divisors is an integer number (123224955).

Almost surely, 2^1307693140 is an apocalyptic number.

1307693140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307693140 is an abundant number, since it is smaller than the sum of its proper divisors (1649705780).

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

1307693140 is a wasteful number, since it uses less digits than its factorization.

1307693140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029611 (or 5029609 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 1307693140 is about 36162.0400420109. The cubic root of 1307693140 is about 1093.5415317951.

The spelling of 1307693140 in words is "one billion, three hundred seven million, six hundred ninety-three thousand, one hundred forty".