13830120 has 96 divisors (see below), whose sum is σ = 46093320. Its totient is φ = 3594240.

The previous prime is 13830101. The next prime is 13830121. The reversal of 13830120 is 2103831.

13830120 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 3755844 + 10074276 = 1938^2 + 3174^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13830093 and 13830102.

It is not an unprimeable number, because it can be changed into a prime (13830121) 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, 14292 + ... + 15228.

Almost surely, 2^13830120 is an apocalyptic number.

13830120 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 13830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046660).

13830120 is an abundant number, since it is smaller than the sum of its proper divisors (32263200).

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

13830120 is a wasteful number, since it uses less digits than its factorization.

13830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13830120 is about 3718.8869302521. The cubic root of 13830120 is about 240.0354114415.

Adding to 13830120 its reverse (2103831), we get a palindrome (15933951).

The spelling of 13830120 in words is "thirteen million, eight hundred thirty thousand, one hundred twenty".