Search a number
-
+
11814 = 2311179
BaseRepresentation
bin10111000100110
3121012120
42320212
5334224
6130410
746305
oct27046
917176
1011814
118970
126a06
1354ba
14443c
153779
hex2e26

11814 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 3560.

The previous prime is 11813. The next prime is 11821. The reversal of 11814 is 41811.

11814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11793 and 11802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

211814 is an apocalyptic number.

11814 is an abundant number, since it is smaller than the sum of its proper divisors (14106).

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 (12960).

11814 is a wasteful number, since it uses less digits than its factorization.

11814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its digits is 32, while the sum is 15.

The square root of 11814 is about 108.6922260330. The cubic root of 11814 is about 22.7753812448.

The spelling of 11814 in words is "eleven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 179 358 537 1074 1969 3938 5907 11814