13019280 has 80 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3266560.

The previous prime is 13019273. The next prime is 13019309. The reversal of 13019280 is 8291031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13019280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2485 + ... + 5675.

Almost surely, 2^13019280 is an apocalyptic number.

13019280 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 13019280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

13019280 is an abundant number, since it is smaller than the sum of its proper divisors (29727984).

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

13019280 is a wasteful number, since it uses less digits than its factorization.

13019280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13019280 is about 3608.2239398352. The cubic root of 13019280 is about 235.2496516954.

The spelling of 13019280 in words is "thirteen million, nineteen thousand, two hundred eighty".