13842820 has 12 divisors (see below), whose sum is σ = 29069964. Its totient is φ = 5537120.

The previous prime is 13842817. The next prime is 13842827. The reversal of 13842820 is 2824831.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 3755844 = 3176^2 + 1938^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13842827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346051 + ... + 346090.

It is an arithmetic number, because the mean of its divisors is an integer number (2422497).

Almost surely, 2^13842820 is an apocalyptic number.

13842820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13842820 is an abundant number, since it is smaller than the sum of its proper divisors (15227144).

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

13842820 is a wasteful number, since it uses less digits than its factorization.

13842820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692150 (or 692148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 13842820 is about 3720.5940385911. The cubic root of 13842820 is about 240.1088626501.

The spelling of 13842820 in words is "thirteen million, eight hundred forty-two thousand, eight hundred twenty".