11200420 has 72 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3487680.

The previous prime is 11200403. The next prime is 11200451. The reversal of 11200420 is 2400211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11200397 and 11200406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10261 + ... + 11299.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 2^11200420 is an apocalyptic number.

11200420 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 11200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11200420 is an abundant number, since it is smaller than the sum of its proper divisors (18676700).

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

11200420 is a wasteful number, since it uses less digits than its factorization.

11200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11200420 is about 3346.7028550500. The cubic root of 11200420 is about 223.7405851037.

Adding to 11200420 its reverse (2400211), we get a palindrome (13600631).

The spelling of 11200420 in words is "eleven million, two hundred thousand, four hundred twenty".