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11140 = 225557

11140 has 12 divisors (see below), whose sum is σ = 23436. Its totient is φ = 4448.

The previous prime is 11131. The next prime is 11149. The reversal of 11140 is 4111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11131) and next prime (11149).

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 8836 = 48^2 + 94^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (11149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

211140 is an apocalyptic number.

11140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140 is an abundant number, since it is smaller than the sum of its proper divisors (12296).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718).

11140 is a wasteful number, since it uses less digits than its factorization.

11140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11140 is about 105.5461984157. The cubic root of 11140 is about 22.3337541071. Note that the first 3 decimals are identical.

Adding to 11140 its reverse (4111), we get a palindrome (15251).

It can be divided in two parts, 111 and 40, that added together give a palindrome (151).

The spelling of 11140 in words is "eleven thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 557 1114 2228 2785 5570 11140