13750416 has 120 divisors (see below), whose sum is σ = 42044184. Its totient is φ = 4177920.

The previous prime is 13750393. The next prime is 13750423. The reversal of 13750416 is 61405731.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 12531600 = 1104^2 + 3540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13750416.

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, 100300 + ... + 100436.

Almost surely, 2^13750416 is an apocalyptic number.

13750416 is a gapful number since it is divisible by the number (16) 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 13750416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022092).

13750416 is an abundant number, since it is smaller than the sum of its proper divisors (28293768).

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

13750416 is a wasteful number, since it uses less digits than its factorization.

13750416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13750416 is about 3708.1553365521. The cubic root of 13750416 is about 239.5734088659.

The spelling of 13750416 in words is "thirteen million, seven hundred fifty thousand, four hundred sixteen".