60,000

← 59999 60000 60001 →
List of numbers Integers ← 0 10k 20k 30k 40k 50k 60k 70k 80k 90k →
Cardinal	sixty thousand
Ordinal	60000th (sixty thousandth)
Factorization	25 × 3 × 54
Greek numeral	${\displaystyle {\stackrel {\digamma }{\mathrm {M} }}}$
Roman numeral	LX
Binary	11101010011000002
Ternary	100010220203
Senary	11414406
Octal	1651408
Duodecimal	2A88012
Hexadecimal	EA6016

60,000 (sixty thousand) is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of ${\displaystyle \varphi }$(75025).^[1]

Selected numbers in the range 60,000–69,999

60,001 to 60,999

• 60,049 = Leyland number^[2]
• 60,101 = smallest prime with period of reciprocal 100^[3]

61,000 to 61,999

• 61,776 = 2⁴ x 3³ x 11 x 13 = 1⁵ + 2⁵ + 3⁵ + 4⁵ + 5⁵ + 6⁵ + 7⁵ + 8⁵.^[4] It is an untouchable number,^[5] a triangular number,^[6] hexagonal number,^[7] 100-gonal number,^[8] and is polygonal in 6 other ways.

62,000 to 62,999

• 62,208 = 3-smooth number
• 62,210 = Markov number^[9]
• 62,745 = Carmichael number^[10]

63,000 to 63,999

• 63,020 = amicable number with 76084
• 63,261 = number of partitions of 43^[11]
• 63,360 = inches in a mile
• 63,600 = number of free 12-ominoes
• 63,750 = pentagonal pyramidal number
• 63,973 = Carmichael number^[10]

64,000 to 64,999

• 64,000 = 40³
• 64,009 = sum of the cubes of the first 22 positive integers
• 64,079 = Lucas number
• 64,442 = Number of integer degree intersections on Earth: 360 longitudes * 179 latitudes + 2 poles = 64442.
• 64,620 : It is an untouchable number,^[5] a triangular number,^[6] hexagonal number,^[7] and a number such that pi(64620) = 64620/10.^[12]

65,000 to 65,999

• 65,025 = 255², palindromic in base 11 (44944₁₁)
• 65,535 = largest value for an unsigned 16-bit integer on a computer.
• 65,536 = 2¹⁶ = 4⁸ = 16⁴ = 256² also 2↑↑4=2↑↑↑3 using Knuth's up-arrow notation, smallest integer with exactly 17 divisors, palindromic in base 15 (14641₁₅), number of directed graphs on 4 labeled nodes^[13]
• 65,537 = largest known Fermat prime
• 65,539 = the 6544th prime number, and both 6544 and 65539 have digital root of 1; a regular prime; a larger member of a twin prime pair; a smaller member of a cousin prime pair; a happy prime; a weak prime; a middle member of a prime triplet, (65537, 65539, 65543); a middle member of a three-term primes in arithmetic progression, (65521, 65539, 65557).
• 65,792 = Leyland number^[2]

66,000 to 66,999

• 66,012 = tribonacci number^[14]
• 66,049 = 257², palindromic in hexadecimal (10201₁₆)
• 66,198 = Giuga number^[15]
• 66,666 = repdigit

67,000 to 67,999

• 67,081 = 259², palindromic in base 6 (1234321₆)
• 67,171 = 1⁶ + 2⁶ + 3⁶ + 4⁶ + 5⁶ + 6^6[16]
• 67,607 = largest of five remaining Seventeen or Bust numbers in the Sierpiński problem
• 67,626 = pentagonal pyramidal number

68,000 to 68,999

• 68,906 = number of prime numbers having six digits.^[17]
• 68,921 = 41³

69,000 to 69,999

• 69,632 = Leyland number^[2]
• 69,696 = square of 264; only known palindromic square that can be expressed as the sum of a pair of twin primes: 69,696 = 34847 + 34849.
• 69,984 = 3-smooth number

Primes

There are 878 prime numbers between 60000 and 70000.

References

This page was last edited on 28 May 2024, at 04:21