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12258 = 233227
BaseRepresentation
bin10111111100010
3121211000
42333202
5343013
6132430
750511
oct27742
917730
1012258
119234
127116
13576c
144678
153973
hex2fe2

12258 has 16 divisors (see below), whose sum is σ = 27360. Its totient is φ = 4068.

The previous prime is 12253. The next prime is 12263. The reversal of 12258 is 85221.

It is an interprime number because it is at equal distance from previous prime (12253) and next prime (12263).

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

It is a Curzon number.

It is a plaindrome in base 10 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 12258.

It is not an unprimeable number, because it can be changed into a prime (12251) by changing a digit.

12258 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 7 ways as a sum of consecutive naturals, for example, 60 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

212258 is an apocalyptic number.

12258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12258 is an abundant number, since it is smaller than the sum of its proper divisors (15102).

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 (13680).

12258 is a wasteful number, since it uses less digits than its factorization.

12258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12258 is about 110.7158525235. The cubic root of 12258 is about 23.0571985302.

Adding to 12258 its reverse (85221), we get a palindrome (97479).

The spelling of 12258 in words is "twelve thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 227 454 681 1362 2043 4086 6129 12258