11255140 has 48 divisors (see below), whose sum is σ = 25846128. Its totient is φ = 4091904.

The previous prime is 11255131. The next prime is 11255149. The reversal of 11255140 is 4155211.

11255140 is a nontrivial binomial coefficient, being equal to C(4745, 2).

It is an interprime number because it is at equal distance from previous prime (11255131) and next prime (11255149).

It can be written as a sum of positive squares in 8 ways, for example, as 338724 + 10916416 = 582^2 + 3304^2 .

It is not an unprimeable number, because it can be changed into a prime (11255149) 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, 18684 + ... + 19276.

It is an arithmetic number, because the mean of its divisors is an integer number (538461).

Almost surely, 2^11255140 is an apocalyptic number.

11255140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11255140 is the 4744-th triangular number.

11255140 is the 1582-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923064).

11255140 is an abundant number, since it is smaller than the sum of its proper divisors (14590988).

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

11255140 is a wasteful number, since it uses less digits than its factorization.

11255140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 11255140 is about 3354.8681047099. The cubic root of 11255140 is about 224.1043571993.

The spelling of 11255140 in words is "eleven million, two hundred fifty-five thousand, one hundred forty".