19 (number)

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19 (nineteen) is the natural number following 18 and preceding 20.

<< 10 11 12 13 14 15 16 17 18 19 >> List of numbers -- Integers 0 10 20 30 40 50 60 70 80 90 >>
Cardinal	nineteen
Ordinal	nineteenth
Factorization	prime
Roman numeral	XIX
Binary	10011
Hexadecimal	13

Table of contents

1 In mathematics 2 In music 3 In other fields 4 External link

In mathematics

Nineteen is the 8th smallest prime number. The sequence continues 23, 29, 31, 37... 19 is the seventh Mersenne prime exponent.

It is also a Keith number, because it recurs in a Fibonacci-like sequence started from its base 10 digits: 1, 9, 10, 19...

With respect to divisibility, nineteen has a very simple test: 19 divides 100×a+b if and only if it divides a+4×b.

Nineteen is a centered triangular number, centered hexagonal number, and an octahedral number.

Every positive integer is the sum of at most nineteen fourth powers.

The decimal expansion of 1/19 has a period of maximum length: 18 digits.

Nineteen is a Heegner number.

In music

"19" is a 1985 hit song by Paul Hardcastle, with a strong anti-war message, based on 19 being the average age of soldiers in the Vietnam war.

Other songs with the number in their titles include "Nineteen" by the Old 97's and "Hey, Nineteen" by Steely Dan.

In other fields

Nineteen is

• The atomic number of potassium.
• The nineteenth state to enter the Union was Indiana.
• part of the name of a breakfast cereal: Product 19.
• The Soviet submarine K-19 was the first Soviet nuclear ballistic submarine
• I-19 is the designation for a US interstate highway in Arizona.
• 19 years is very close to 235 lunations. See Metonic cycle.
• Historical years: 19 A.D., 19 B.C., or 1919

External link

• "19" lyrics (http://www.80smusiclyrics.com/artists/paulhardcastle.htm)
• Prime Curios for the number 19 (http://primes.utm.edu/curios/page.php/19.html)

es:Diecinueve ia:19 it:Diciannove nah:Caxtollin-nahui ja:19 no:19 (tall) pt:Dezanove sl:19 (število) sv:19 (tal) zh:19

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