14533920 has 72 divisors (see below), whose sum is σ = 49601916. Its totient is φ = 3875328.

The previous prime is 14533889. The next prime is 14533927. The reversal of 14533920 is 2933541.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 63504 = 3804^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14533920² = 422469661132800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14533927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3607 + ... + 6486.

Almost surely, 2^14533920 is an apocalyptic number.

14533920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14533920 is an abundant number, since it is smaller than the sum of its proper divisors (35067996).

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

14533920 is a wasteful number, since it uses less digits than its factorization.

14533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 14533920 is about 3812.3378654049. The cubic root of 14533920 is about 244.0399468772.

The spelling of 14533920 in words is "fourteen million, five hundred thirty-three thousand, nine hundred twenty".