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128 (one hundred [and] twenty-eight) is the natural number following 127 and preceding 129.
| 128 | |
|---|---|
| Cardinal | one hundred [and] twenty-eight |
| Ordinal | 128th (one hundred [and] twenty-eighth) |
| Numeral system | 128 |
| Factorization | ![]() |
| Divisors | 1, 2, 4, 8, 16, 32, 64, 128 |
| Roman numeral | CXXVIII |
| Binary | 100000002 |
| Octal | 2008 |
| Duodecimal | A812 |
| Hexadecimal | 8016 |
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One hundred [and] twenty-eight is the seventh power of 2. It is the largest number which cannot be expressed as the sum of any number of distinct squares.[1][2] But it is divisible by the total number of its divisors, making it a refactorable number.[3]
The sum of Euler's totient function φ(x) over the first twenty integers is 128.[4]
128 can be expressed by a combination of its digits with mathematical operators thus 128 = 28 - 1, making it a Friedman number in base 10.[5]
128 is the only 3-digit number that is a 7th power. 2 to the 7th power.
One hundred [and] twenty-eight is also:
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