14881240 has 64 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 5232000.

The previous prime is 14881213. The next prime is 14881241. The reversal of 14881240 is 4218841.

14881240 = T₁₉₅ + T₁₉₆ + ... + T₄₅₈.

14881240 is nontrivially palindromic in base 12.

14881240 is a nontrivial binomial coefficient, being equal to C(5456, 2).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14881199 and 14881208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14881241) 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 15 ways as a sum of consecutive naturals, for example, 13095 + ... + 14185.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^14881240 is an apocalyptic number.

14881240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14881240 is the 5455-th triangular number and also the 2728-th hexagonal number.

14881240 is the 1819-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14881240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

14881240 is an abundant number, since it is smaller than the sum of its proper divisors (22858280).

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

14881240 is a wasteful number, since it uses less digits than its factorization.

14881240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 14881240 is about 3857.6210285615. The cubic root of 14881240 is about 245.9686213750.

The spelling of 14881240 in words is "fourteen million, eight hundred eighty-one thousand, two hundred forty".