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12305 = 523107
BaseRepresentation
bin11000000010001
3121212202
43000101
5343210
6132545
750606
oct30021
917782
1012305
119277
127155
1357a7
1446ad
1539a5
hex3011

12305 has 8 divisors (see below), whose sum is σ = 15552. Its totient is φ = 9328.

The previous prime is 12301. The next prime is 12323. The reversal of 12305 is 50321.

12305 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12305 - 22 = 12301 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12301) 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, 62 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

212305 is an apocalyptic number.

It is an amenable number.

12305 is a deficient number, since it is larger than the sum of its proper divisors (3247).

12305 is a wasteful number, since it uses less digits than its factorization.

12305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 12305 is about 110.9279045146. The cubic root of 12305 is about 23.0866298197.

Adding to 12305 its reverse (50321), we get a palindrome (62626).

The spelling of 12305 in words is "twelve thousand, three hundred five".

Divisors: 1 5 23 107 115 535 2461 12305