13424040 has 144 divisors (see below), whose sum is σ = 50817780. Its totient is φ = 3064320.

The previous prime is 13424039. The next prime is 13424063. The reversal of 13424040 is 4042431.

13424040 = T₂₃₉ + T₂₄₀ + ... + T₄₅₄.

13424040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 2414916 = 3318^2 + 1554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17260 + ... + 18020.

Almost surely, 2^13424040 is an apocalyptic number.

13424040 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 13424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408890).

13424040 is an abundant number, since it is smaller than the sum of its proper divisors (37393740).

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

13424040 is a wasteful number, since it uses less digits than its factorization.

13424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13424040 is about 3663.8831859108. The cubic root of 13424040 is about 237.6627287356.

Adding to 13424040 its reverse (4042431), we get a palindrome (17466471).

The spelling of 13424040 in words is "thirteen million, four hundred twenty-four thousand, forty".