Search a number
-
+
12289305 = 357117041
BaseRepresentation
bin101110111000…
…010100011001
3212010100202110
4232320110121
511121224210
61115222533
7206312610
oct56702431
925110673
1012289305
116a34156
124147a49
1327138a2
1418bc877
15112b420
hexbb8519

12289305 has 16 divisors (see below), whose sum is σ = 22472064. Its totient is φ = 5617920.

The previous prime is 12289297. The next prime is 12289309. The reversal of 12289305 is 50398221.

It is a happy number.

12289305 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12289305 - 23 = 12289297 is a prime.

12289305 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12289309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58416 + ... + 58625.

It is an arithmetic number, because the mean of its divisors is an integer number (1404504).

Almost surely, 212289305 is an apocalyptic number.

12289305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12289305 is a deficient number, since it is larger than the sum of its proper divisors (10182759).

12289305 is a wasteful number, since it uses less digits than its factorization.

12289305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117056.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12289305 is about 3505.6105031792. The cubic root of 12289305 is about 230.7680999517.

The spelling of 12289305 in words is "twelve million, two hundred eighty-nine thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 105 117041 351123 585205 819287 1755615 2457861 4096435 12289305