13000720 has 40 divisors (see below), whose sum is σ = 30544920. Its totient is φ = 5145600.

The previous prime is 13000711. The next prime is 13000723. The reversal of 13000720 is 2700031.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 4613904 = 2896^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13000720.

It is not an unprimeable number, because it can be changed into a prime (13000723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7276 + ... + 8884.

It is an arithmetic number, because the mean of its divisors is an integer number (763623).

Almost surely, 2^13000720 is an apocalyptic number.

13000720 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 13000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272460).

13000720 is an abundant number, since it is smaller than the sum of its proper divisors (17544200).

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

13000720 is a wasteful number, since it uses less digits than its factorization.

13000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13000720 is about 3605.6511201169. The cubic root of 13000720 is about 235.1378096175.

Adding to 13000720 its reverse (2700031), we get a palindrome (15700751).

The spelling of 13000720 in words is "thirteen million, seven hundred twenty", and thus it is an aban number.