13414240 has 144 divisors (see below), whose sum is σ = 38782800. Its totient is φ = 4365312.

The previous prime is 13414213. The next prime is 13414249. The reversal of 13414240 is 4241431.

13414240 is nontrivially palindromic in base 12.

13414240 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13414240 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227331 + ... + 227389.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^13414240 is an apocalyptic number.

13414240 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 13414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391400).

13414240 is an abundant number, since it is smaller than the sum of its proper divisors (25368560).

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

13414240 is a wasteful number, since it uses less digits than its factorization.

13414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 13414240 is about 3662.5455628565. The cubic root of 13414240 is about 237.6048807320.

Adding to 13414240 its reverse (4241431), we get a palindrome (17655671).

The spelling of 13414240 in words is "thirteen million, four hundred fourteen thousand, two hundred forty".