Search a number
-
+
12264 = 233773
BaseRepresentation
bin10111111101000
3121211020
42333220
5343024
6132440
750520
oct27750
917736
1012264
11923a
127120
135775
144680
153979
hex2fe8

12264 has 32 divisors (see below), whose sum is σ = 35520. Its totient is φ = 3456.

The previous prime is 12263. The next prime is 12269. The reversal of 12264 is 46221.

Adding to 12264 its reverse (46221), we get a palindrome (58485).

It can be divided in two parts, 12 and 264, that added together give a triangular number (276 = T23).

12264 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (1110).

212264 is an apocalyptic number.

12264 is a gapful number since it is divisible by the number (14) 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 12264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760).

12264 is an abundant number, since it is smaller than the sum of its proper divisors (23256).

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

12264 is a wasteful number, since it uses less digits than its factorization.

12264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 12264 is about 110.7429455993. The cubic root of 12264 is about 23.0609599004.

The spelling of 12264 in words is "twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264