13730420 has 48 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 4945920.

The previous prime is 13730419. The next prime is 13730501. The reversal of 13730420 is 2403731.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13730392 and 13730401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30356 + ... + 30804.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^13730420 is an apocalyptic number.

13730420 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 13730420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

13730420 is an abundant number, since it is smaller than the sum of its proper divisors (18021580).

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

13730420 is a wasteful number, since it uses less digits than its factorization.

13730420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13730420 is about 3705.4581363173. The cubic root of 13730420 is about 239.4572224684.

The spelling of 13730420 in words is "thirteen million, seven hundred thirty thousand, four hundred twenty".