Base | Representation |
---|---|
bin | 110000100100… |
… | …011110000000 |
3 | 212221212102020 |
4 | 300210132000 |
5 | 11224413123 |
6 | 1132521440 |
7 | 213136242 |
oct | 60443600 |
9 | 25855366 |
10 | 12732288 |
11 | 7206a58 |
12 | 4320280 |
13 | 283a3ca |
14 | 1996092 |
15 | 11b77e3 |
hex | c24780 |
12732288 has 64 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 4175360.
The previous prime is 12732287. The next prime is 12732301. The reversal of 12732288 is 88223721.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×127322882 = 324222315429888, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12732287) 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, 27031 + ... + 27497.
It is an arithmetic number, because the mean of its divisors is an integer number (537030).
Almost surely, 212732288 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 12732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).
12732288 is an abundant number, since it is smaller than the sum of its proper divisors (21637632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12732288 is an equidigital number, since it uses as much as digits as its factorization.
12732288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 555 (or 543 counting only the distinct ones).
The product of its digits is 10752, while the sum is 33.
The square root of 12732288 is about 3568.2331762372. The cubic root of 12732288 is about 233.5082081340.
The spelling of 12732288 in words is "twelve million, seven hundred thirty-two thousand, two hundred eighty-eight".
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