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12336 = 243257
BaseRepresentation
bin11000000110000
3121220220
43000300
5343321
6133040
750652
oct30060
917826
1012336
1192a5
127180
1357cc
1446d2
1539c6
hex3030

12336 has 20 divisors (see below), whose sum is σ = 31992. Its totient is φ = 4096.

The previous prime is 12329. The next prime is 12343. The reversal of 12336 is 63321.

Subtracting from 12336 its sum of digits (15), we obtain a palindrome (12321).

Adding to 12336 its reverse (63321), we get a palindrome (75657).

12336 = T31 + T32 + ... + T46.

It is an interprime number because it is at equal distance from previous prime (12329) and next prime (12343).

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

It is an Ulam number.

12336 is an undulating number in base 16.

It is a plaindrome in base 10 and base 13.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 12336 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 176.

212336 is an apocalyptic number.

12336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12336 is an abundant number, since it is smaller than the sum of its proper divisors (19656).

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 (15996).

12336 is a wasteful number, since it uses less digits than its factorization.

12336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 12336 is about 111.0675470153. The cubic root of 12336 is about 23.1060009521.

The spelling of 12336 in words is "twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 257 514 771 1028 1542 2056 3084 4112 6168 12336