11151140 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3202560.

The previous prime is 11151131. The next prime is 11151143. The reversal of 11151140 is 4115111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11151143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19742 + ... + 20298.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^11151140 is an apocalyptic number.

11151140 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 11151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

11151140 is an abundant number, since it is smaller than the sum of its proper divisors (20346844).

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

11151140 is a wasteful number, since it uses less digits than its factorization.

11151140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 11151140 is about 3339.3322685830. The cubic root of 11151140 is about 223.4119621162.

Adding to 11151140 its reverse (4115111), we get a palindrome (15266251).

It can be divided in two parts, 11 and 151140, that added together give a palindrome (151151).

The spelling of 11151140 in words is "eleven million, one hundred fifty-one thousand, one hundred forty".