13938120 has 96 divisors (see below), whose sum is σ = 51779520. Its totient is φ = 3185280.

The previous prime is 13938083. The next prime is 13938121. The reversal of 13938120 is 2183931.

13938120 = T₁₆₅ + T₁₆₆ + ... + T₄₄₄.

13938120 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 is not an unprimeable number, because it can be changed into a prime (13938121) 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, 246 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (539370).

Almost surely, 2^13938120 is an apocalyptic number.

13938120 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 13938120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889760).

13938120 is an abundant number, since it is smaller than the sum of its proper divisors (37841400).

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

13938120 is a wasteful number, since it uses less digits than its factorization.

13938120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13938120 is about 3733.3791663853. The cubic root of 13938120 is about 240.6586076632.

The spelling of 13938120 in words is "thirteen million, nine hundred thirty-eight thousand, one hundred twenty".