13739820 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3463680.

The previous prime is 13739801. The next prime is 13739821. The reversal of 13739820 is 2893731.

13739820 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 (13739821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154336 + ... + 154424.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^13739820 is an apocalyptic number.

13739820 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 13739820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13739820 is an abundant number, since it is smaller than the sum of its proper divisors (26902740).

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

13739820 is a wasteful number, since it uses less digits than its factorization.

13739820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13739820 is about 3706.7263184649. The cubic root of 13739820 is about 239.5118550391.

The spelling of 13739820 in words is "thirteen million, seven hundred thirty-nine thousand, eight hundred twenty".