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1089 (number)

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1089 is the integer after 1088 and before 1090.

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1089
Cardinal One thousand and eighty-nine
Ordinal 1089th
Factorization [1089 = 3^2 \cdot 11^2]
Binary 10001000001
Hexadecimal 441

It is a square number (33 squared), a nonagonal number, a 32-gonal number, a 364-gonal number, and a centered octagonal number.

In base 10, the following steps always yield 1089:

  1. Take any three-digit integer in which the first digit is at least two more than the last.
  2. Reverse the digits, and subtract the result from the original number.
  3. Add to this result the number produced by reversing its digits.
For example:

732 - 237 = 495
495 + 594 = 1089
Multiplying the number 1089 by the integers from 1 to 9 produces a pattern: multipliers adding up to 10 give products that are the digit reversals of each other.

1 x 1089 = 1089
2 x 1089 = 2178
3 x 1089 = 3267
4 x 1089 = 4356
5 x 1089 = 5445
6 x 1089 = 6534
7 x 1089 = 7623
8 x 1089 = 8712
9 x 1089 = 9801
Numbers formed analogously in other bases, e.g. octal 1067 or hexadecimal 10EF, also have these properties.

Other uses

 


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