14117280 has 48 divisors (see below), whose sum is σ = 44470944. Its totient is φ = 3764480.

The previous prime is 14117263. The next prime is 14117281. The reversal of 14117280 is 8271141.

14117280 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 (48).

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 14117280.

It is not an unprimeable number, because it can be changed into a prime (14117281) 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, 14226 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (926478).

Almost surely, 2^14117280 is an apocalyptic number.

14117280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14117280 is an abundant number, since it is smaller than the sum of its proper divisors (30353664).

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

14117280 is a wasteful number, since it uses less digits than its factorization.

14117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29429 (or 29421 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 14117280 is about 3757.2969006987. The cubic root of 14117280 is about 241.6853593679.

The spelling of 14117280 in words is "fourteen million, one hundred seventeen thousand, two hundred eighty".