Search a number
-
+
12397168 = 247711559
BaseRepresentation
bin101111010010…
…101001110000
3212022211201101
4233102221300
511133202133
61121414144
7210242230
oct57225160
925284641
1012397168
116aa81a3
12419a354
132750a04
141909cc0
15114d37d
hexbd2a70

12397168 has 40 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 5234880.

The previous prime is 12397163. The next prime is 12397171. The reversal of 12397168 is 86179321.

12397168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397163) 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, 7173 + ... + 8731.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 212397168 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 12397168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

12397168 is an abundant number, since it is smaller than the sum of its proper divisors (15458192).

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

12397168 is a wasteful number, since it uses less digits than its factorization.

12397168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 12397168 is about 3520.9612323910. The cubic root of 12397168 is about 231.4412833685.

The spelling of 12397168 in words is "twelve million, three hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1559 1988 3118 3976 6236 7952 10913 12472 21826 24944 43652 87304 110689 174608 221378 442756 774823 885512 1549646 1771024 3099292 6198584 12397168