13248540 has 72 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 3489024.

The previous prime is 13248527. The next prime is 13248541. The reversal of 13248540 is 4584231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15607 + ... + 16433.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

It is a vampire number, since it can be written as 2481 ⋅ 5340 (with its own digits).

Almost surely, 2^13248540 is an apocalyptic number.

13248540 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 13248540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

13248540 is an abundant number, since it is smaller than the sum of its proper divisors (27439380).

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

13248540 is a wasteful number, since it uses less digits than its factorization.

13248540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13248540 is about 3639.8543926921. The cubic root of 13248540 is about 236.6224828801.

The spelling of 13248540 in words is "thirteen million, two hundred forty-eight thousand, five hundred forty".