Base | Representation |
---|---|
bin | 110000100100… |
… | …011010010000 |
3 | 212221212002100 |
4 | 300210122100 |
5 | 11224411143 |
6 | 1132520400 |
7 | 213135450 |
oct | 60443220 |
9 | 25855070 |
10 | 12732048 |
11 | 720685a |
12 | 4320100 |
13 | 283a274 |
14 | 1995d60 |
15 | 11b76d3 |
hex | c24690 |
12732048 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3419136.
The previous prime is 12732047. The next prime is 12732053. The reversal of 12732048 is 84023721.
It is not an unprimeable number, because it can be changed into a prime (12732047) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16765 + ... + 17507.
Almost surely, 212732048 is an apocalyptic number.
12732048 is a gapful number since it is divisible by the number (18) 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 12732048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).
12732048 is an abundant number, since it is smaller than the sum of its proper divisors (30443760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12732048 is a wasteful number, since it uses less digits than its factorization.
12732048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 781 (or 772 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 12732048 is about 3568.1995459895. The cubic root of 12732048 is about 233.5067409371.
Adding to 12732048 its reverse (84023721), we get a palindrome (96755769).
It can be divided in two parts, 1273 and 2048, that added together give a triangular number (3321 = T81).
The spelling of 12732048 in words is "twelve million, seven hundred thirty-two thousand, forty-eight".
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