13741416 has 96 divisors (see below), whose sum is σ = 40982760. Its totient is φ = 4133376.

The previous prime is 13741391. The next prime is 13741421. The reversal of 13741416 is 61414731.

It is a happy number.

13741416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8678916 + 5062500 = 2946^2 + 2250^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13741416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49470 + ... + 49746.

Almost surely, 2^13741416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13741416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491380).

13741416 is an abundant number, since it is smaller than the sum of its proper divisors (27241344).

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

13741416 is a wasteful number, since it uses less digits than its factorization.

13741416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13741416 is about 3706.9415965186. The cubic root of 13741416 is about 239.5211284774.

The spelling of 13741416 in words is "thirteen million, seven hundred forty-one thousand, four hundred sixteen".