13379540 has 24 divisors (see below), whose sum is σ = 28282632. Its totient is φ = 5316480.

The previous prime is 13379473. The next prime is 13379543. The reversal of 13379540 is 4597331.

It is a happy number.

13379540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 10125124 = 1804^2 + 3182^2 .

It is a super-2 number, since 2×13379540² = 358024181223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13379497 and 13379506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379543) 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, 1010 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (1178443).

Almost surely, 2^13379540 is an apocalyptic number.

13379540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13379540 is an abundant number, since it is smaller than the sum of its proper divisors (14903092).

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

13379540 is a wasteful number, since it uses less digits than its factorization.

13379540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 13379540 is about 3657.8053529405. The cubic root of 13379540 is about 237.3998247890.

The spelling of 13379540 in words is "thirteen million, three hundred seventy-nine thousand, five hundred forty".