14538240 has 120 divisors (see below), whose sum is σ = 50429808. Its totient is φ = 3870720.

The previous prime is 14538221. The next prime is 14538269. The reversal of 14538240 is 4283541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14538240² = 422720844595200, which contains 22 as substring.

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 22725 + ... + 23355.

Almost surely, 2^14538240 is an apocalyptic number.

14538240 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 14538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214904).

14538240 is an abundant number, since it is smaller than the sum of its proper divisors (35891568).

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

14538240 is an equidigital number, since it uses as much as digits as its factorization.

14538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14538240 is about 3812.9044047812. The cubic root of 14538240 is about 244.0641236108.

The spelling of 14538240 in words is "fourteen million, five hundred thirty-eight thousand, two hundred forty".