11053120 has 56 divisors (see below), whose sum is σ = 28355544. Its totient is φ = 4079616.

The previous prime is 11053073. The next prime is 11053129. The reversal of 11053120 is 2135011.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 10601536 = 672^2 + 3256^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11053120.

It is not an unprimeable number, because it can be changed into a prime (11053129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2832 + ... + 5488.

It is an arithmetic number, because the mean of its divisors is an integer number (506349).

Almost surely, 2^11053120 is an apocalyptic number.

11053120 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 11053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177772).

11053120 is an abundant number, since it is smaller than the sum of its proper divisors (17302424).

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

11053120 is a wasteful number, since it uses less digits than its factorization.

11053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 11053120 is about 3324.6232869304. The cubic root of 11053120 is about 222.7554277383.

Adding to 11053120 its reverse (2135011), we get a palindrome (13188131).

It can be divided in two parts, 1105 and 3120, that added together give a square (4225 = 65²).

The spelling of 11053120 in words is "eleven million, fifty-three thousand, one hundred twenty".