14303120 has 80 divisors (see below), whose sum is σ = 37966320. Its totient is φ = 4964352.

The previous prime is 14303117. The next prime is 14303123. The reversal of 14303120 is 2130341.

It is an interprime number because it is at equal distance from previous prime (14303117) and next prime (14303123).

It can be written as a sum of positive squares in 8 ways, for example, as 135424 + 14167696 = 368^2 + 3764^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14303095 and 14303104.

It is not an unprimeable number, because it can be changed into a prime (14303123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17276 + ... + 18084.

It is an arithmetic number, because the mean of its divisors is an integer number (474579).

Almost surely, 2^14303120 is an apocalyptic number.

14303120 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 14303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160).

14303120 is an abundant number, since it is smaller than the sum of its proper divisors (23663200).

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

14303120 is a wasteful number, since it uses less digits than its factorization.

14303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14303120 is about 3781.9465887291. The cubic root of 14303120 is about 242.7412556338.

Adding to 14303120 its reverse (2130341), we get a palindrome (16433461).

The spelling of 14303120 in words is "fourteen million, three hundred three thousand, one hundred twenty".