20013420 has 96 divisors (see below), whose sum is σ = 67834368. Its totient is φ = 4303872.

The previous prime is 20013407. The next prime is 20013421. The reversal of 20013420 is 2431002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20013396 and 20013405.

It is not an unprimeable number, because it can be changed into a prime (20013421) 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 31 ways as a sum of consecutive naturals, for example, 5739 + ... + 8541.

It is an arithmetic number, because the mean of its divisors is an integer number (706608).

Almost surely, 2^20013420 is an apocalyptic number.

20013420 is a gapful number since it is divisible by the number (20) 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 20013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33917184).

20013420 is an abundant number, since it is smaller than the sum of its proper divisors (47820948).

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

20013420 is a wasteful number, since it uses less digits than its factorization.

20013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20013420 is about 4473.6361050045. The cubic root of 20013420 is about 271.5024605592.

Adding to 20013420 its reverse (2431002), we get a palindrome (22444422).

The spelling of 20013420 in words is "twenty million, thirteen thousand, four hundred twenty".