14183120 has 160 divisors (see below), whose sum is σ = 41902080. Its totient is φ = 4354560.

The previous prime is 14183047. The next prime is 14183137. The reversal of 14183120 is 2138141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14183092 and 14183101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329819 + ... + 329861.

It is an arithmetic number, because the mean of its divisors is an integer number (261888).

Almost surely, 2^14183120 is an apocalyptic number.

14183120 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 14183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951040).

14183120 is an abundant number, since it is smaller than the sum of its proper divisors (27718960).

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

14183120 is a wasteful number, since it uses less digits than its factorization.

14183120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 14183120 is about 3766.0483268275. The cubic root of 14183120 is about 242.0604998660.

The spelling of 14183120 in words is "fourteen million, one hundred eighty-three thousand, one hundred twenty".