60,000 (sixty thousand) is the natural number that follows 59,999 and precedes 60,001. It is the value of \varphi(75025).[1]
Selected numbers in the range 60,000–69,999
60,001 to 60,999
- 60,049 = Leyland number[2] using 3 & 10 (310 + 103)
- 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)
- 65,504 = largest representable value in half-precision floating-point format[13]
- 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[14]
- 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] using 2 & 16 (216 + 162)
66,000 to 66,999
- 66,012 = tribonacci number[15]
- 66,049 = 2572, palindromic in hexadecimal (1020116)
- 66,198 = Giuga number[16]
- 66,666 = repdigit
67,000 to 67,999
- 67,081 = 2592, palindromic in base 6 (12343216)
- 67,171 = 16 + 26 + 36 + 46 + 56 + 66[17]
- 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.[18]
- 68,921 = 413
69,000 to 69,999
- 69,632 = Leyland number[2] using 4 & 8 (48 + 84)
- 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.