14473120 has 72 divisors (see below), whose sum is σ = 36438444. Its totient is φ = 5431296.

The previous prime is 14473099. The next prime is 14473127. The reversal of 14473120 is 2137441.

It can be written as a sum of positive squares in 6 ways, for example, as 5400976 + 9072144 = 2324^2 + 3012^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14473091 and 14473100.

It is not an unprimeable number, because it can be changed into a prime (14473127) 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 11 ways as a sum of consecutive naturals, for example, 46084 + ... + 46396.

Almost surely, 2^14473120 is an apocalyptic number.

14473120 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 14473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18219222).

14473120 is an abundant number, since it is smaller than the sum of its proper divisors (21965324).

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

14473120 is a wasteful number, since it uses less digits than its factorization.

14473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 14473120 is about 3804.3553987502. The cubic root of 14473120 is about 243.6991723956.

The spelling of 14473120 in words is "fourteen million, four hundred seventy-three thousand, one hundred twenty".