Search a number
-
+
12306105 = 325725581
BaseRepresentation
bin101110111100…
…011010111001
3212011012210200
4232330122321
511122243410
61115432413
7206412600
oct56743271
925135720
1012306105
116a45839
124155709
13271b426
1418c4a37
1511313c0
hexbbc6b9

12306105 has 36 divisors (see below), whose sum is σ = 24817572. Its totient is φ = 5624640.

The previous prime is 12306061. The next prime is 12306137. The reversal of 12306105 is 50160321.

12306105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4149369 + 8156736 = 2037^2 + 2856^2 .

It is not a de Polignac number, because 12306105 - 28 = 12305849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 586 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (689377).

Almost surely, 212306105 is an apocalyptic number.

12306105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12306105 is an abundant number, since it is smaller than the sum of its proper divisors (12511467).

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

12306105 is a wasteful number, since it uses less digits than its factorization.

12306105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12306105 is about 3508.0058437808. The cubic root of 12306105 is about 230.8732086564.

Adding to 12306105 its reverse (50160321), we get a palindrome (62466426).

The spelling of 12306105 in words is "twelve million, three hundred six thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5581 16743 27905 39067 50229 83715 117201 195335 251145 273469 351603 586005 820407 1367345 1758015 2461221 4102035 12306105