1306353140 has 48 divisors (see below), whose sum is σ = 2878001280. Its totient is φ = 497400960.

The previous prime is 1306353131. The next prime is 1306353157. The reversal of 1306353140 is 413536031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25319 + ... + 57041.

It is an arithmetic number, because the mean of its divisors is an integer number (59958360).

Almost surely, 2^1306353140 is an apocalyptic number.

1306353140 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 1306353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439000640).

1306353140 is an abundant number, since it is smaller than the sum of its proper divisors (1571648140).

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

1306353140 is a wasteful number, since it uses less digits than its factorization.

1306353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31832 (or 31830 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 1306353140 is about 36143.5075774336. The cubic root of 1306353140 is about 1093.1678848977.

Adding to 1306353140 its reverse (413536031), we get a palindrome (1719889171).

The spelling of 1306353140 in words is "one billion, three hundred six million, three hundred fifty-three thousand, one hundred forty".