11251140 has 96 divisors (see below), whose sum is σ = 34062336. Its totient is φ = 2766720.

The previous prime is 11251133. The next prime is 11251147. The reversal of 11251140 is 4115211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11251133) and next prime (11251147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11251147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42649 + ... + 42911.

It is an arithmetic number, because the mean of its divisors is an integer number (354816).

Almost surely, 2^11251140 is an apocalyptic number.

11251140 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 11251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031168).

11251140 is an abundant number, since it is smaller than the sum of its proper divisors (22811196).

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

11251140 is a wasteful number, since it uses less digits than its factorization.

11251140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11251140 is about 3354.2719031110. The cubic root of 11251140 is about 224.0778056669.

Adding to 11251140 its reverse (4115211), we get a palindrome (15366351).

The spelling of 11251140 in words is "eleven million, two hundred fifty-one thousand, one hundred forty".