13983280 has 40 divisors (see below), whose sum is σ = 32846112. Its totient is φ = 5535744.

The previous prime is 13983269. The next prime is 13983289. The reversal of 13983280 is 8238931.

13983280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13983289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7392 + ... + 9088.

Almost surely, 2^13983280 is an apocalyptic number.

13983280 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 13983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423056).

13983280 is an abundant number, since it is smaller than the sum of its proper divisors (18862832).

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

13983280 is a wasteful number, since it uses less digits than its factorization.

13983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 13983280 is about 3739.4224152936. The cubic root of 13983280 is about 240.9182415804.

The spelling of 13983280 in words is "thirteen million, nine hundred eighty-three thousand, two hundred eighty".