11131890 has 128 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2246400.

The previous prime is 11131873. The next prime is 11131907. The reversal of 11131890 is 9813111.

11131890 = T₇₈₀ + T₇₈₁ + ... + T₈₁₄.

It is an interprime number because it is at equal distance from previous prime (11131873) and next prime (11131907).

It is a self number, because there is not a number n which added to its sum of digits gives 11131890.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140871 + ... + 140949.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^11131890 is an apocalyptic number.

11131890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

11131890 is an abundant number, since it is smaller than the sum of its proper divisors (23151630).

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

11131890 is a wasteful number, since it uses less digits than its factorization.

11131890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 216, while the sum is 24.

The square root of 11131890 is about 3336.4487108301. The cubic root of 11131890 is about 223.2833308022.

It can be divided in two parts, 11131 and 890, that added together give a palindrome (12021).

The spelling of 11131890 in words is "eleven million, one hundred thirty-one thousand, eight hundred ninety".