Base | Representation |
---|---|
bin | 110000100000… |
… | …110000010000 |
3 | 212221002112200 |
4 | 300200300100 |
5 | 11223421242 |
6 | 1132323200 |
7 | 213044004 |
oct | 60406020 |
9 | 25832480 |
10 | 12717072 |
11 | 71a6585 |
12 | 4313500 |
13 | 28334c4 |
14 | 1990704 |
15 | 11b304c |
hex | c20c10 |
12717072 has 60 divisors (see below), whose sum is σ = 36366720. Its totient is φ = 4146624.
The previous prime is 12717043. The next prime is 12717073. The reversal of 12717072 is 27071721.
It is not an unprimeable number, because it can be changed into a prime (12717073) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5829 + ... + 7707.
It is an arithmetic number, because the mean of its divisors is an integer number (606112).
Almost surely, 212717072 is an apocalyptic number.
12717072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12717072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183360).
12717072 is an abundant number, since it is smaller than the sum of its proper divisors (23649648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12717072 is a wasteful number, since it uses less digits than its factorization.
12717072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1940 (or 1931 counting only the distinct ones).
The product of its (nonzero) digits is 1372, while the sum is 27.
The square root of 12717072 is about 3566.1003911836. The cubic root of 12717072 is about 233.4151513526.
Adding to 12717072 its reverse (27071721), we get a palindrome (39788793).
The spelling of 12717072 in words is "twelve million, seven hundred seventeen thousand, seventy-two".
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