13024004 has 18 divisors (see below), whose sum is σ = 26513550. Its totient is φ = 5581632.

The previous prime is 13023991. The next prime is 13024007. The reversal of 13024004 is 40042031.

It can be written as a sum of positive squares in only one way, i.e., 12945604 + 78400 = 3598^2 + 280^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 13024004.

It is not an unprimeable number, because it can be changed into a prime (13024007) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 33029 + ... + 33420.

It is an arithmetic number, because the mean of its divisors is an integer number (1472975).

Almost surely, 2^13024004 is an apocalyptic number.

13024004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13024004 is an abundant number, since it is smaller than the sum of its proper divisors (13489546).

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

13024004 is a wasteful number, since it uses less digits than its factorization.

13024004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66467 (or 66458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13024004 is about 3608.8784961536. The cubic root of 13024004 is about 235.2781014245.

Adding to 13024004 its reverse (40042031), we get a palindrome (53066035).

The spelling of 13024004 in words is "thirteen million, twenty-four thousand, four".