Million
From Wikipedia, the free encyclopedia
List of numbers - Integers |
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Cardinal | One million |
Ordinal | One millionth |
Factorization | 26 · 56 |
Roman numeral | |
Unicode representation of Roman numeral |
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Binary | 11110100001001000000 |
Hexadecimal | F4240 |
One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001.
In scientific notation, it is written as 106.[1] Physical quantities can also be expressed using the SI prefix mega, when dealing with SI units. For example, 1 megawatt equals 1,000,000 watts.
The million is sometimes used in the English language as a metaphor for a very large number, as in "Never in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles". Il Milione is the title of Marco Polo's narration of his travel to China. The name is supposed to come from Polo's nickname after his tales of riches and multitudes.
The word "million" is common to the short scale and long scale numbering systems (and also to the proposed Rowlett numbering system), unlike the larger numbers, which have different names in the two systems.
The name is derived from Italian, where mille was 1,000, and 1,000,000 became millione, "a large thousand".
Contents |
[edit] The word million
In standard English, the -lli- in million is pronounced with an l-sound followed by a y-glide. However, as other languages use a fully palatalized 'l' in this word (such as Italian spells by 'gl'), some English-speakers have picked up this pronunciation, which does not occur elsewhere in the English language but in words of this model.
This word is the most common of words ending in -lion. In American English this can cause spelling confusion due to its double 'll' while words like 'vermilion', 'pavilion', etc. are spelled with a single 'l'. This is not helped by the fact that it does not have a distinct pronunciation.
[edit] See also
- Orders of magnitude (numbers) to help compare dimensionless numbers between 1,000,000 and 10,000,000 (106 and 107).
- Names of large numbers
[edit] Selected 7-digit numbers (1,000,000 - 9,999,999)
- 1,000,003 - Smallest 7 digit prime number
- 1,046,527 - Carol number
- 1,048,576 = 220 (power of two), 2,116-gonal number, an 8,740-gonal number and a 174,764-gonal number, the number of bytes in a mebibyte, the number of kibibytes in a gibibyte, and so on. Also the most rows that Microsoft Excel (Microsoft Office 2007) can accept in a single worksheet.
- 1,048,976 - Leyland number
- 1,050,623 - Kynea number
- 1,058,576 - Leyland number
- 1,084,051 - Keith number
- 1,089,270 - harmonic divisor number
- 1,111,111 - repunit
- 1,136,689 - Pell number, Markov number
- 1,234,567 - Smarandche consecutive number (base 10 digits are in numerical order)
- 1,278,818 - Markov number
- 1,342,269 - Fibonacci number
- 1,346,269 - Markov number
- 1,421,280 - harmonic divisor number
- 1,441,440 - colossally abundant number
- 1,441,889 - Markov number
- 1,539,720 - harmonic divisor number
- 1,563,372 - Wedderburn-Etherington number
- 1,594,323 = 313
- 1,596,520 - Leyland number
- 1,647,086 - Leyland number
- 1,679,616 = 68
- 1,686,049 - Markov number
- 1,741,725 - equal to the sum of the seventh power of its digits
- 1,771,561 = 116 = 1213 = 13312, also, Commander Spock's estimate for the tribble population in the Star Trek episode "The Trouble With Tribbles"
- 1,941,760 - Leyland number
- 1,953,125 = 59
- 2,012,174 - Leyland number
- 2,012,674 - Markov number
- 2,097,152 = 221, power of two
- 2,097,593 - Leyland number
- 2,124,679 - Wolstenholme prime
- 2,178,309 - Fibonacci number
- 2,222,222 - repdigit
- 2,356,779 - Motzkin number
- 2,423,525 - Markov number
- 2,674,440 - Catalan number
- 2,744,210 - Pell number
- 2,796,203 - Wagstaff prime
- 2,922,509 - Markov number
- 3,263,442 - product of the first five terms of Sylvester's sequence
- 3,263,443 - sixth term of Sylvester's sequence
- 3,276,509 - Markov number
- 3,301,819 - alternating factorial
- 3,333,333 - repdigit
- 3,524,578 - Fibonacci number, Markov number
- 3,626,149 - Wedderburn-Etherington number
- 3,628,800 = 10!
- 4,037,913 - sum of the first ten factorials
- 4,190,207 - Carol number
- 4,194,304 = 222, power of two
- 4,194,788 - Leyland number
- 4,198,399 - Kynea number
- 4,208,945 - Leyland number
- 4,210,818 - equal to the sum of the seventh powers of its digits
- 4,213,597 - Bell number
- 4,400,489 - Markov number
- 4,444,444 - repdigit
- 4,782,969 = 314
- 4,785,713 - Leyland number
- 4,826,809 = 136
- 5,134,240 - the largest number that cannot be expressed as the sum of distinct fourth powers
- 5,555,555 - repdigit
- 5,702,887 - Fibonacci number
- 5,764,801 = 78
- 6,536,382 - Motzkin number
- 6,625,109 - Pell number, Markov number
- 6,666,666 - repdigit
- 7,453,378 - Markov number
- 7,777,777 - repdigit
- 7,861,953 - Leyland number
- 7,913,837 - Keith number
- 8,000,000 - Used to represent infinity in Japanese mythology
- 8,388,608 = 223, power of two
- 8,389,137 - Leyland number
- 8,399,329 - Markov number
- 8,436,379 - Wedderburn-Etherington number
- 8,675,309 - A hit song for Tommy Tutone (also a twin prime)
- 8,675,311 - A twin prime
- 8,888,888 - repdigit
- 8,946,176 - self-descriptive number in base 8
- 9,227,465 - Fibonacci number, Markov number
- 9,369,319 - Newman-Shanks-Williams prime
- 9,647,009 - Markov number
- 9,694,845 - Catalan number
- 9,765,625 = 510
- 9,800,817 - equal to the sum of the seventh powers of its digits
- 9,865,625 - Leyland number
- 9,926,315 - equal to the sum of the seventh powers of its digits
- 9,999,991 - Largest 7 digit prime number
- 9,999,999 - repdigit
[edit] References
- ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 185. "1,000,000 = 106"