11514020 has 72 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 3810240.

The previous prime is 11514001. The next prime is 11514023. The reversal of 11514020 is 2041511.

11514020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11513986 and 11514004.

It is not an unprimeable number, because it can be changed into a prime (11514023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30191 + ... + 30569.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 2^11514020 is an apocalyptic number.

11514020 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 11514020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

11514020 is an abundant number, since it is smaller than the sum of its proper divisors (17597020).

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

11514020 is a wasteful number, since it uses less digits than its factorization.

11514020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 11514020 is about 3393.2314981445. The cubic root of 11514020 is about 225.8095610325.

Adding to 11514020 its reverse (2041511), we get a palindrome (13555531).

The spelling of 11514020 in words is "eleven million, five hundred fourteen thousand, twenty".