Search a number
-
+
12114 = 232673
BaseRepresentation
bin10111101010010
3121121200
42331102
5341424
6132030
750214
oct27522
917550
1012114
119113
127016
13568b
1445b4
1538c9
hex2f52

12114 has 12 divisors (see below), whose sum is σ = 26286. Its totient is φ = 4032.

The previous prime is 12113. The next prime is 12119. The reversal of 12114 is 41121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 1089 = 105^2 + 33^2 .

It is a super-3 number, since 3×121143 = 5333152012632, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 12096 and 12105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 319 + ... + 354.

212114 is an apocalyptic number.

12114 is an abundant number, since it is smaller than the sum of its proper divisors (14172).

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

12114 is a wasteful number, since it uses less digits than its factorization.

12114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 12114 is about 110.0636179671. The cubic root of 12114 is about 22.9665550450.

Adding to 12114 its reverse (41121), we get a palindrome (53235).

The spelling of 12114 in words is "twelve thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 673 1346 2019 4038 6057 12114