13830180 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 2727936.

The previous prime is 13830169. The next prime is 13830203. The reversal of 13830180 is 8103831.

It is a self number, because there is not a number n which added to its sum of digits gives 13830180.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92746 + ... + 92894.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^13830180 is an apocalyptic number.

13830180 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 13830180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

13830180 is an abundant number, since it is smaller than the sum of its proper divisors (36973020).

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

13830180 is a wasteful number, since it uses less digits than its factorization.

13830180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13830180 is about 3718.8949971732. The cubic root of 13830180 is about 240.0357585608.

The spelling of 13830180 in words is "thirteen million, eight hundred thirty thousand, one hundred eighty".