13730220 has 144 divisors (see below), whose sum is σ = 50476608. Its totient is φ = 2949120.

The previous prime is 13730207. The next prime is 13730231. The reversal of 13730220 is 2203731.

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 = 13730193 and 13730202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21100 + ... + 21740.

It is an arithmetic number, because the mean of its divisors is an integer number (350532).

Almost surely, 2^13730220 is an apocalyptic number.

13730220 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 13730220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238304).

13730220 is an abundant number, since it is smaller than the sum of its proper divisors (36746388).

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

13730220 is a wasteful number, since it uses less digits than its factorization.

13730220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13730220 is about 3705.4311490028. The cubic root of 13730220 is about 239.4560598024.

Adding to 13730220 its reverse (2203731), we get a palindrome (15933951).

The spelling of 13730220 in words is "thirteen million, seven hundred thirty thousand, two hundred twenty".