13915280 has 60 divisors (see below), whose sum is σ = 33615036. Its totient is φ = 5356800.

The previous prime is 13915271. The next prime is 13915301. The reversal of 13915280 is 8251931.

It can be written as a sum of positive squares in 2 ways, for example, as 1860496 + 12054784 = 1364^2 + 3472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76790 + ... + 76970.

Almost surely, 2^13915280 is an apocalyptic number.

13915280 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 13915280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807518).

13915280 is an abundant number, since it is smaller than the sum of its proper divisors (19699756).

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

13915280 is a wasteful number, since it uses less digits than its factorization.

13915280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 13915280 is about 3730.3190212098. The cubic root of 13915280 is about 240.5270823276.

The spelling of 13915280 in words is "thirteen million, nine hundred fifteen thousand, two hundred eighty".