13004000 has 48 divisors (see below), whose sum is σ = 31960656. Its totient is φ = 5200000.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004000 is 40031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2375 + ... + 5625.

It is an arithmetic number, because the mean of its divisors is an integer number (665847).

Almost surely, 2^13004000 is an apocalyptic number.

13004000 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 13004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980328).

13004000 is an abundant number, since it is smaller than the sum of its proper divisors (18956656).

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

13004000 is an equidigital number, since it uses as much as digits as its factorization.

13004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13004000 is about 3606.1059329975. The cubic root of 13004000 is about 235.1575825522.

Adding to 13004000 its reverse (40031), we get a palindrome (13044031).

The spelling of 13004000 in words is "thirteen million, four thousand".