13004020 has 24 divisors (see below), whose sum is σ = 28048104. Its totient is φ = 5060736.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004020 is 2040031.

It can be written as a sum of positive squares in 4 ways, for example, as 4778596 + 8225424 = 2186^2 + 2868^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13003988 and 13004006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8047 + ... + 9526.

It is an arithmetic number, because the mean of its divisors is an integer number (1168671).

Almost surely, 2^13004020 is an apocalyptic number.

13004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004020 is an abundant number, since it is smaller than the sum of its proper divisors (15044084).

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

13004020 is a wasteful number, since it uses less digits than its factorization.

13004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13004020 is about 3606.1087060709. The cubic root of 13004020 is about 235.1577031087.

Adding to 13004020 its reverse (2040031), we get a palindrome (15044051).

The spelling of 13004020 in words is "thirteen million, four thousand, twenty".