13002420 has 48 divisors (see below), whose sum is σ = 37033920. Its totient is φ = 3407616.

The previous prime is 13002397. The next prime is 13002421. The reversal of 13002420 is 2420031.

13002420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13002396 and 13002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704 + ... + 5376.

It is an arithmetic number, because the mean of its divisors is an integer number (771540).

Almost surely, 2^13002420 is an apocalyptic number.

13002420 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 13002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516960).

13002420 is an abundant number, since it is smaller than the sum of its proper divisors (24031500).

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

13002420 is a wasteful number, since it uses less digits than its factorization.

13002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13002420 is about 3605.8868534661. The cubic root of 13002420 is about 235.1480582000.

Adding to 13002420 its reverse (2420031), we get a palindrome (15422451).

The spelling of 13002420 in words is "thirteen million, two thousand, four hundred twenty".