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120,068

120,068 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.).

120,068 (one hundred twenty thousand sixty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,309. Written other ways, in hexadecimal, 0x1D504.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
860,021
Recamán's sequence
a(239,960) = 120,068
Square (n²)
14,416,324,624
Cube (n³)
1,730,939,264,954,432
Divisor count
12
σ(n) — sum of divisors
226,380
φ(n) — Euler's totient
55,392
Sum of prime factors
2,326

Primality

Prime factorization: 2 2 × 13 × 2309

Nearest primes: 120,067 (−1) · 120,077 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2309 · 4618 · 9236 · 30017 · 60034 (half) · 120068
Aliquot sum (sum of proper divisors): 106,312
Factor pairs (a × b = 120,068)
1 × 120068
2 × 60034
4 × 30017
13 × 9236
26 × 4618
52 × 2309
First multiples
120,068 · 240,136 (double) · 360,204 · 480,272 · 600,340 · 720,408 · 840,476 · 960,544 · 1,080,612 · 1,200,680

Sums & aliquot sequence

As a sum of two squares: 128² + 322² = 242² + 248²
As consecutive integers: 15,005 + 15,006 + … + 15,012 9,230 + 9,231 + … + 9,242 1,103 + 1,104 + … + 1,206
Aliquot sequence: 120,068 106,312 96,548 72,418 36,212 33,004 26,580 48,012 64,044 102,276 163,164 217,580 314,644 286,124 218,380 250,340 275,416 — unresolved within range

Continued fraction of √n

√120,068 = [346; (1, 1, 29, 1, 1, 1, 2, 2, 3, 8, 1, 2, 2, 2, 1, 3, 3, 2, 1, 3, 1, 2, 1, 1, …)]

Representations

In words
one hundred twenty thousand sixty-eight
Ordinal
120068th
Binary
11101010100000100
Octal
352404
Hexadecimal
0x1D504
Base64
AdUE
One's complement
4,294,847,227 (32-bit)
Scientific notation
1.20068 × 10⁵
As a duration
120,068 s = 1 day, 9 hours, 21 minutes, 8 seconds
In other bases
ternary (3) 20002200222
quaternary (4) 131110010
quinary (5) 12320233
senary (6) 2323512
septenary (7) 1010024
nonary (9) 202628
undecimal (11) 82233
duodecimal (12) 59598
tridecimal (13) 42860
tetradecimal (14) 31a84
pentadecimal (15) 25898

As an angle

120,068° = 333 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκξηʹ
Mayan (base 20)
𝋯·𝋠·𝋣·𝋨
Chinese
一十二萬零六十八
Chinese (financial)
壹拾貳萬零陸拾捌
In other modern scripts
Eastern Arabic ١٢٠٠٦٨ Devanagari १२००६८ Bengali ১২০০৬৮ Tamil ௧௨௦௦௬௮ Thai ๑๒๐๐๖๘ Tibetan ༡༢༠༠༦༨ Khmer ១២០០៦៨ Lao ໑໒໐໐໖໘ Burmese ၁၂၀၀၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120068, here are decompositions:

  • 19 + 120049 = 120068
  • 97 + 119971 = 120068
  • 139 + 119929 = 120068
  • 199 + 119869 = 120068
  • 229 + 119839 = 120068
  • 241 + 119827 = 120068
  • 271 + 119797 = 120068
  • 331 + 119737 = 120068

Showing the first eight; more decompositions exist.

Unicode codepoint
𝔄
Mathematical Fraktur Capital A
U+1D504
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 94 84 (4 bytes).

Hex color
#01D504
RGB(1, 213, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.4.

Address
0.1.213.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.4

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,068 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 120068 first appears in π at position 194,983 of the decimal expansion (the 194,983ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.