20004200 has 48 divisors (see below), whose sum is σ = 48127500. Its totient is φ = 7723520.

The previous prime is 20004199. The next prime is 20004211. The reversal of 20004200 is 240002.

It can be written as a sum of positive squares in 6 ways, for example, as 1737124 + 18267076 = 1318^2 + 4274^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4076 + ... + 7524.

Almost surely, 2^20004200 is an apocalyptic number.

20004200 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 20004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24063750).

20004200 is an abundant number, since it is smaller than the sum of its proper divisors (28123300).

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

20004200 is a wasteful number, since it uses less digits than its factorization.

20004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20004200 is about 4472.6055046248. The cubic root of 20004200 is about 271.4607612529.

Adding to 20004200 its reverse (240002), we get a palindrome (20244202).

The spelling of 20004200 in words is "twenty million, four thousand, two hundred".