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12309 = 311373
BaseRepresentation
bin11000000010101
3121212220
43000111
5343214
6132553
750613
oct30025
917786
1012309
119280
127159
1357ab
1446b3
1539a9
hex3015

12309 has 8 divisors (see below), whose sum is σ = 17952. Its totient is φ = 7440.

The previous prime is 12301. The next prime is 12323. The reversal of 12309 is 90321.

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

It is not a de Polignac number, because 12309 - 23 = 12301 is a prime.

It is a super-2 number, since 2×123092 = 303022962, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (2244).

It is an amenable number.

12309 is a deficient number, since it is larger than the sum of its proper divisors (5643).

12309 is a wasteful number, since it uses less digits than its factorization.

12309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 12309 is about 110.9459327781. The cubic root of 12309 is about 23.0891311474.

The spelling of 12309 in words is "twelve thousand, three hundred nine".

Divisors: 1 3 11 33 373 1119 4103 12309