Search a number
-
+
12339168 = 253791627
BaseRepresentation
bin101111000100…
…011111100000
3212012220011020
4233010133200
511124323133
61120245440
7206611152
oct57043740
925186136
1012339168
116a68666
124170880
1327304aa
1418d2ad2
15113b0b3
hexbc47e0

12339168 has 48 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 4058496.

The previous prime is 12339149. The next prime is 12339191. The reversal of 12339168 is 86193321.

12339168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6771 + ... + 8397.

It is an arithmetic number, because the mean of its divisors is an integer number (683760).

Almost surely, 212339168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12339168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410240).

12339168 is an abundant number, since it is smaller than the sum of its proper divisors (20481312).

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

12339168 is a wasteful number, since it uses less digits than its factorization.

12339168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 12339168 is about 3512.7151891379. The cubic root of 12339168 is about 231.0797872844.

It can be divided in two parts, 1233 and 9168, that added together give a palindrome (10401).

The spelling of 12339168 in words is "twelve million, three hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1627 1896 2528 3254 3792 4881 6508 7584 9762 13016 19524 26032 39048 52064 78096 128533 156192 257066 385599 514132 771198 1028264 1542396 2056528 3084792 4113056 6169584 12339168