Numbers 76,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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76,000

[Tech.]  Ethanol contains about 76,000 Btus (British thermal units) per gallon, while gasoline about 115,000.

 

76,047

[Math.]  760472 = 5,783,146,209, a square number using each of 10 digits 0-9 once. (The 54th of 87 such numbers).

 

76,084

[Math.]  A pair of amicable numbers (63020, 76084).

 

76,127

[Math.]  Sum of all prime numbers less than 1,000.

 

76,176

[Math.]  Sum of the first 23 cube numbers:

13+23+33+…+213+223+233 = 76,176 = (1+2+3+…+21+22+23)2 = 2762.

 

76,182

[Math.]  761822 = 5,803,697,124, a square number using each of 10 digits 0-9 once. (The 55th of 87 such numbers). The 35th such number is 59403, whose combined digits also use each of 10 digits 0-9 once.

 

76,184

[Math.]  The ratio 76184/9523 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

76,248

[Math.]  The ratio 76248/9531 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

76,328

[Math.]  The ratio 76328/9541 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

76,543

[Math.]  One of only three 5-digit prime numbers whose digits are consecutive, including digit 0. The other 2 such prime numbers are: 78,901 and 10,987.

 

76,543

[Zip]  U.S. Postal Zip Code: Killeen, Texas76543.

  

76,755

[Math.]  Two consecutive sums of consecutive numbers:

1764+1765+…+1806 = 1807+1808+…+1848 = 76,755.

 

76,922 & 76,923

[Math.] 

The 6-digit period of the rational number 1/13 = 0.076923076923… or 0.076923. Its multiple by 13 is 999,999.  Then,   076,923×n = abc,def,ghi,jkl and

abc,def+ghi,jkl = 076,923, if n  = 13t+1

abc,def+ghi,jkl = 692,307, if n  = 13t+9

abc,def+ghi,jkl = 230,769, if n  = 13t+3

abc,def+ghi,jkl = 769,230, if n  = 13t+10

abc,def+ghi,jkl = 307,692, if n  = 13t+4

abc,def+ghi,jkl = 923,076, if n  = 13t+12

 for t = 0 to 76,922, and in fact abc,edf = t.  The results are digit-rotations of 076,923.

            And 076,923×n = abc,def,ghi,jkl &

abc,def+ghi,jkl = 153,846, if n  = 13t+2

abc,def+ghi,jkl = 538,461, if n  = 13t+7

abc,def+ghi,jkl = 384,615, if n  = 13t+5

abc,def+ghi,jkl = 615,384, if n  = 13t+8

abc,def+ghi,jkl = 461,538, if n  = 13t+6

abc,def+ghi,jkl = 846,153, if n  = 13t+11

for t = 0 to 76,922, and in fact abc,edf = t.  The results are digit-rotations of 076,923×2 = 153,846. It is the period of the rational number 2/13 = 0.153846153846… or 0.153846), and the sums of first and last 3-digit numbers are always 999.

 

76,923

[Math.]  076,923×3 = 230,769.

             076,923×4 = 307,692.

             076,923×9 = 692,307.

 

76nnn

[Zip]  U.S. Postal Zip Codes of Texas: 75nnn-79nnn and 885nn.