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68,000

68,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Flippable Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
86
Flips to (rotate 180°)
89
Recamán's sequence
a(132,019) = 68,000
Square (n²)
4,624,000,000
Cube (n³)
314,432,000,000,000
Divisor count
48
σ(n) — sum of divisors
176,904
φ(n) — Euler's totient
25,600
Sum of prime factors
42

Primality

Prime factorization: 2 5 × 5 3 × 17

Nearest primes: 67,993 (−7) · 68,023 (+23)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 32 · 34 · 40 · 50 · 68 · 80 · 85 · 100 · 125 · 136 · 160 · 170 · 200 · 250 · 272 · 340 · 400 · 425 · 500 · 544 · 680 · 800 · 850 · 1000 · 1360 · 1700 · 2000 · 2125 · 2720 · 3400 · 4000 · 4250 · 6800 · 8500 · 13600 · 17000 · 34000 (half) · 68000
Aliquot sum (sum of proper divisors): 108,904
Factor pairs (a × b = 68,000)
1 × 68000
2 × 34000
4 × 17000
5 × 13600
8 × 8500
10 × 6800
16 × 4250
17 × 4000
20 × 3400
25 × 2720
32 × 2125
34 × 2000
40 × 1700
50 × 1360
68 × 1000
80 × 850
85 × 800
100 × 680
125 × 544
136 × 500
160 × 425
170 × 400
200 × 340
250 × 272
First multiples
68,000 · 136,000 (double) · 204,000 · 272,000 · 340,000 · 408,000 · 476,000 · 544,000 · 612,000 · 680,000

Sums & aliquot sequence

As a sum of two squares: 20² + 260² = 92² + 244² = 140² + 220² = 172² + 196²
As consecutive integers: 13,598 + 13,599 + 13,600 + 13,601 + 13,602 3,992 + 3,993 + … + 4,008 2,708 + 2,709 + … + 2,732 1,031 + 1,032 + … + 1,094
Aliquot sequence: 68,000 108,904 95,306 47,656 61,784 54,076 49,244 43,660 52,100 61,174 32,066 16,036 13,644 20,936 18,334 9,746 6,238 — unresolved within range

Representations

In words
sixty-eight thousand
Ordinal
68000th
Binary
10000100110100000
Octal
204640
Hexadecimal
0x109A0
Base64
AQmg
One's complement
4,294,899,295 (32-bit)
In other bases
ternary (3) 10110021112
quaternary (4) 100212200
quinary (5) 4134000
senary (6) 1242452
septenary (7) 402152
nonary (9) 113245
undecimal (11) 470a9
duodecimal (12) 33428
tridecimal (13) 24c4a
tetradecimal (14) 1aad2
pentadecimal (15) 15235

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ξη
Mayan (base 20)
𝋨·𝋪·𝋠·𝋠
Chinese
六萬八千
Chinese (financial)
陸萬捌仟
In other modern scripts
Eastern Arabic ٦٨٠٠٠ Devanagari ६८००० Bengali ৬৮০০০ Tamil ௬௮௦௦௦ Thai ๖๘๐๐๐ Tibetan ༦༨༠༠༠ Khmer ៦៨០០០ Lao ໖໘໐໐໐ Burmese ၆၈၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 68,000 = 7
e — Euler's number (e)
Digit 68,000 = 5
φ — Golden ratio (φ)
Digit 68,000 = 4
√2 — Pythagoras's (√2)
Digit 68,000 = 8
ln 2 — Natural log of 2
Digit 68,000 = 5
γ — Euler-Mascheroni (γ)
Digit 68,000 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 68000, here are decompositions:

  • 7 + 67993 = 68000
  • 13 + 67987 = 68000
  • 43 + 67957 = 68000
  • 61 + 67939 = 68000
  • 67 + 67933 = 68000
  • 73 + 67927 = 68000
  • 109 + 67891 = 68000
  • 157 + 67843 = 68000

Showing the first eight; more decompositions exist.

Unicode codepoint
𐦠
Meroitic Cursive Letter A
U+109A0
Other letter (Lo)

UTF-8 encoding: F0 90 A6 A0 (4 bytes).

Hex color
#0109A0
RGB(1, 9, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.9.160.

Address
0.1.9.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.9.160

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000068000
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 68000 first appears in π at position 17,532 of the decimal expansion (the 17,532ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.