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68,016

68,016 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.).

68,016 (sixty-eight thousand sixteen) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 109. Its proper divisors sum to 122,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x109B0.

Abundant Number Arithmetic Number Evil Number Flippable Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
61,086
Flips to (rotate 180°)
91,089
Recamán's sequence
a(131,987) = 68,016
Square (n²)
4,626,176,256
Cube (n³)
314,654,004,228,096
Divisor count
40
σ(n) — sum of divisors
190,960
φ(n) — Euler's totient
20,736
Sum of prime factors
133

Primality

Prime factorization: 2 4 × 3 × 13 × 109

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

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 109 · 156 · 208 · 218 · 312 · 327 · 436 · 624 · 654 · 872 · 1308 · 1417 · 1744 · 2616 · 2834 · 4251 · 5232 · 5668 · 8502 · 11336 · 17004 · 22672 · 34008 (half) · 68016
Aliquot sum (sum of proper divisors): 122,944
Factor pairs (a × b = 68,016)
1 × 68016
2 × 34008
3 × 22672
4 × 17004
6 × 11336
8 × 8502
12 × 5668
13 × 5232
16 × 4251
24 × 2834
26 × 2616
39 × 1744
48 × 1417
52 × 1308
78 × 872
104 × 654
109 × 624
156 × 436
208 × 327
218 × 312
First multiples
68,016 · 136,032 (double) · 204,048 · 272,064 · 340,080 · 408,096 · 476,112 · 544,128 · 612,144 · 680,160

Sums & aliquot sequence

As consecutive integers: 22,671 + 22,672 + 22,673 5,226 + 5,227 + … + 5,238 2,110 + 2,111 + … + 2,141 1,725 + 1,726 + … + 1,763
Aliquot sequence: 68,016 122,944 137,660 151,468 127,692 195,176 183,064 217,076 162,814 83,714 48,526 28,154 20,134 10,070 9,370 7,514 5,380 — unresolved within range

Continued fraction of √n

√68,016 = [260; (1, 3, 1, 31, 1, 3, 1, 520)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
sixty-eight thousand sixteen
Ordinal
68016th
Binary
10000100110110000
Octal
204660
Hexadecimal
0x109B0
Base64
AQmw
One's complement
4,294,899,279 (32-bit)
Scientific notation
6.8016 × 10⁴
As a duration
68,016 s = 18 hours, 53 minutes, 36 seconds
In other bases
ternary (3) 10110022010
quaternary (4) 100212300
quinary (5) 4134031
senary (6) 1242520
septenary (7) 402204
nonary (9) 113263
undecimal (11) 47113
duodecimal (12) 33440
tridecimal (13) 24c60
tetradecimal (14) 1ab04
pentadecimal (15) 15246
Palindromic in base 7

As an angle

68,016° = 188 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ξηιϛʹ
Mayan (base 20)
𝋨·𝋪·𝋠·𝋰
Chinese
六萬八千零一十六
Chinese (financial)
陸萬捌仟零壹拾陸
In other modern scripts
Eastern Arabic ٦٨٠١٦ Devanagari ६८०१६ Bengali ৬৮০১৬ Tamil ௬௮௦௧௬ Thai ๖๘๐๑๖ Tibetan ༦༨༠༡༦ Khmer ៦៨០១៦ Lao ໖໘໐໑໖ Burmese ၆၈၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 68,016 = 5
e — Euler's number (e)
Digit 68,016 = 7
φ — Golden ratio (φ)
Digit 68,016 = 6
√2 — Pythagoras's (√2)
Digit 68,016 = 8
ln 2 — Natural log of 2
Digit 68,016 = 1
γ — Euler-Mascheroni (γ)
Digit 68,016 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 68016, here are decompositions:

  • 23 + 67993 = 68016
  • 29 + 67987 = 68016
  • 37 + 67979 = 68016
  • 59 + 67957 = 68016
  • 73 + 67943 = 68016
  • 83 + 67933 = 68016
  • 89 + 67927 = 68016
  • 149 + 67867 = 68016

Showing the first eight; more decompositions exist.

Unicode codepoint
𐦰
Meroitic Cursive Letter Archaic Sa
U+109B0
Other letter (Lo)

UTF-8 encoding: F0 90 A6 B0 (4 bytes).

Hex color
#0109B0
RGB(1, 9, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.9.176.

Address
0.1.9.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.9.176

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

Position in π

The digit sequence 68016 first appears in π at position 48,935 of the decimal expansion (the 48,935ordinal-suffix:th 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.