1089 (number): Difference between revisions
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[[Category:Integers|199e03 1089]] |
[[Category:Integers|199e03 1089]] |
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'''1089''' is the number after 1088 and before 1090. It is 33 squared, a [[nonagonal number]] and a [[centered octagonal number]] |
'''1089''' is the number after 1088 and before 1090. It is 33 squared, a [[nonagonal number]] and a [[centered octagonal number]]. |
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Revision as of 05:54, 6 February 2005
1089 is the number after 1088 and before 1090. It is 33 squared, a nonagonal number and a centered octagonal number.
Template:Numbers 1000 - 10000 | |
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1089 | |
Cardinal | One thousand and eighty-nine |
Ordinal | 1089th |
Factorization | |
Binary | 10001000001 |
Hexadecimal | 441 |
It has some interesting mathematical properties.
The number 1089 is the result of the following experiment:
- Take any three-digit integer in which the first digit is at least two more than the last.
- Reverse the digits, and subtract the result from the original number.
- 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.