13502720 has 144 divisors (see below), whose sum is σ = 40618368. Its totient is φ = 4177920.

The previous prime is 13502707. The next prime is 13502773. The reversal of 13502720 is 2720531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13502692 and 13502701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98492 + ... + 98628.

It is an arithmetic number, because the mean of its divisors is an integer number (282072).

Almost surely, 2^13502720 is an apocalyptic number.

13502720 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 13502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20309184).

13502720 is an abundant number, since it is smaller than the sum of its proper divisors (27115648).

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

13502720 is a wasteful number, since it uses less digits than its factorization.

13502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 13502720 is about 3674.6047406490. The cubic root of 13502720 is about 238.1261483171.

The spelling of 13502720 in words is "thirteen million, five hundred two thousand, seven hundred twenty".