11142820 has 48 divisors (see below), whose sum is σ = 26692848. Its totient is φ = 3870720.

The previous prime is 11142767. The next prime is 11142821. The reversal of 11142820 is 2824111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2534464 + 8608356 = 1592^2 + 2934^2 .

It is not an unprimeable number, because it can be changed into a prime (11142821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3160 + ... + 5680.

It is an arithmetic number, because the mean of its divisors is an integer number (556101).

Almost surely, 2^11142820 is an apocalyptic number.

11142820 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 11142820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346424).

11142820 is an abundant number, since it is smaller than the sum of its proper divisors (15550028).

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

11142820 is a wasteful number, since it uses less digits than its factorization.

11142820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11142820 is about 3338.0862780941. The cubic root of 11142820 is about 223.3563848388.

Adding to 11142820 its reverse (2824111), we get a palindrome (13966931).

The spelling of 11142820 in words is "eleven million, one hundred forty-two thousand, eight hundred twenty".