13053940 has 36 divisors (see below), whose sum is σ = 28145124. Its totient is φ = 5085696.

The previous prime is 13053923. The next prime is 13053961. The reversal of 13053940 is 4935031.

It can be written as a sum of positive squares in 2 ways, for example, as 4999696 + 8054244 = 2236^2 + 2838^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 36804 + ... + 37156.

It is an arithmetic number, because the mean of its divisors is an integer number (781809).

Almost surely, 2^13053940 is an apocalyptic number.

13053940 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 13053940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072562).

13053940 is an abundant number, since it is smaller than the sum of its proper divisors (15091184).

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

13053940 is a wasteful number, since it uses less digits than its factorization.

13053940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 13053940 is about 3613.0236644672. The cubic root of 13053940 is about 235.4582276933.

Adding to 13053940 its reverse (4935031), we get a palindrome (17988971).

The spelling of 13053940 in words is "thirteen million, fifty-three thousand, nine hundred forty".