Base | Representation |
---|---|
bin | 110000101010… |
… | …010010000000 |
3 | 220000002002000 |
4 | 300222102000 |
5 | 11231143341 |
6 | 1133224000 |
7 | 213265533 |
oct | 60522200 |
9 | 26002060 |
10 | 12756096 |
11 | 7222931 |
12 | 4332000 |
13 | 28481b2 |
14 | 19a0a1a |
15 | 11be8b6 |
hex | c2a480 |
12756096 has 64 divisors (see below), whose sum is σ = 37658400. Its totient is φ = 4250880.
The previous prime is 12756091. The next prime is 12756119. The reversal of 12756096 is 69065721.
12756096 is a `hidden beast` number, since 1 + 2 + 7 + 560 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×127560962 = 325435970322432, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 12756096.
It is not an unprimeable number, because it can be changed into a prime (12756091) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1611 + ... + 5301.
Almost surely, 212756096 is an apocalyptic number.
12756096 is a gapful number since it is divisible by the number (16) 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 12756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829200).
12756096 is an abundant number, since it is smaller than the sum of its proper divisors (24902304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12756096 is an equidigital number, since it uses as much as digits as its factorization.
12756096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3714 (or 3696 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 36.
The square root of 12756096 is about 3571.5677230034. The cubic root of 12756096 is about 233.6536625325.
The spelling of 12756096 in words is "twelve million, seven hundred fifty-six thousand, ninety-six".
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