Search a number
-
+
12276 = 22321131
BaseRepresentation
bin10111111110100
3121211200
42333310
5343101
6132500
750535
oct27764
917750
1012276
119250
127130
135784
14468c
153986
hex2ff4

12276 has 36 divisors (see below), whose sum is σ = 34944. Its totient is φ = 3600.

The previous prime is 12269. The next prime is 12277. The reversal of 12276 is 67221.

Adding to 12276 its reverse (67221), we get a palindrome (79497).

Subtracting 12276 from its reverse (67221), we obtain a palindrome (54945).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12276.

It is not an unprimeable number, because it can be changed into a prime (12277) by changing a digit.

12276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 411.

212276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472).

12276 is an abundant number, since it is smaller than the sum of its proper divisors (22668).

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

12276 is a wasteful number, since it uses less digits than its factorization.

12276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 47 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 12276 is about 110.7971118757. The cubic root of 12276 is about 23.0684789619.

The spelling of 12276 in words is "twelve thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276