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{{example farm|date=September 2011}}
{{example farm|date=September 2011}}
{{Infobox number
{{Infobox number
| number = 128
| number = 2092436
| divisor = 1, 2, 4, 8, 16, 32, 64, 128
| divisor = 1, 2, 4, 8, 16, 32, 64, 128
}}
}}

Revision as of 17:06, 11 November 2018

2092436
Cardinaltwo million ninety-two thousand four hundred thirty-six
Ordinal2092436th
(two million ninety-two thousand four hundred thirty-sixth)
Factorization22 × 523109
Divisors1, 2, 4, 8, 16, 32, 64, 128
Greek numeral͵βυλϚ´
Roman numeralMMXCMMCDXXXVI
Binary1111111101101100101002
Ternary102210220211223
Senary1125031126
Octal77666248
Duodecimal84AA9812
Hexadecimal1FED9416

128 (one hundred [and] twenty-eight) is the natural number following 127 and preceding 129.

In mathematics

128 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]

A hepteract has 128 vertices.

128 is the only 3-digit number that is a 7th power (27).

In bar codes

  • Code 128 is a Uniform Symbology Specification (USS Code 128) alphanumeric bar code that encodes text, numbers, numerous functions, and designed to encode all 128 ASCII characters (ASCII 0 to ASCII 127), as used in the shipping industry.
  • Subdivisions include:

In computing

In the military

In transportation

In other fields

One hundred [and] twenty-eight is also:

See also

Notes

  1. ^ Sprague, R. (1948), "Über Zerlegungen in ungleiche Quadratzahlen", Math. Z., 51 (3): 289–290, doi:10.1007/BF01181594, MR 0027285
  2. ^ OEIS:A001422. Similarly, the largest numbers that cannot be expressed as sums of distinct cubes and fourth powers, respectively, are 12758 and 5134240 (sequence A001661 in the OEIS).
  3. ^ OEIS:A033950.
  4. ^ OEIS:A002088.
  5. ^ OEIS:A036057.

References