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120,208

120,208 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.).

120,208 (one hundred twenty thousand two hundred eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 683. Its proper divisors sum to 134,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D590.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
802,021
Square (n²)
14,449,963,264
Cube (n³)
1,737,001,184,038,912
Divisor count
20
σ(n) — sum of divisors
254,448
φ(n) — Euler's totient
54,560
Sum of prime factors
702

Primality

Prime factorization: 2 4 × 11 × 683

Nearest primes: 120,199 (−9) · 120,209 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 683 · 1366 · 2732 · 5464 · 7513 · 10928 · 15026 · 30052 · 60104 (half) · 120208
Aliquot sum (sum of proper divisors): 134,240
Factor pairs (a × b = 120,208)
1 × 120208
2 × 60104
4 × 30052
8 × 15026
11 × 10928
16 × 7513
22 × 5464
44 × 2732
88 × 1366
176 × 683
First multiples
120,208 · 240,416 (double) · 360,624 · 480,832 · 601,040 · 721,248 · 841,456 · 961,664 · 1,081,872 · 1,202,080

Sums & aliquot sequence

As consecutive integers: 10,923 + 10,924 + … + 10,933 3,741 + 3,742 + … + 3,772 166 + 167 + … + 517
Aliquot sequence: 120,208 134,240 183,280 263,120 486,832 456,436 357,776 349,024 391,856 407,944 356,966 210,034 133,694 90,946 49,274 25,894 17,198 — unresolved within range

Continued fraction of √n

√120,208 = [346; (1, 2, 2, 4, 1, 1, 1, 2, 1, 1, 1, 2, 15, 2, 1, 1, 1, 2, 1, 1, 1, 4, 2, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand two hundred eight
Ordinal
120208th
Binary
11101010110010000
Octal
352620
Hexadecimal
0x1D590
Base64
AdWQ
One's complement
4,294,847,087 (32-bit)
Scientific notation
1.20208 × 10⁵
As a duration
120,208 s = 1 day, 9 hours, 23 minutes, 28 seconds
In other bases
ternary (3) 20002220011
quaternary (4) 131112100
quinary (5) 12321313
senary (6) 2324304
septenary (7) 1010314
nonary (9) 202804
undecimal (11) 82350
duodecimal (12) 59694
tridecimal (13) 4293a
tetradecimal (14) 31b44
pentadecimal (15) 2593d

As an angle

120,208° = 333 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκσηʹ
Mayan (base 20)
𝋯·𝋠·𝋪·𝋨
Chinese
一十二萬零二百零八
Chinese (financial)
壹拾貳萬零貳佰零捌
In other modern scripts
Eastern Arabic ١٢٠٢٠٨ Devanagari १२०२०८ Bengali ১২০২০৮ Tamil ௧௨௦௨௦௮ Thai ๑๒๐๒๐๘ Tibetan ༡༢༠༢༠༨ Khmer ១២០២០៨ Lao ໑໒໐໒໐໘ Burmese ၁၂၀၂၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120208, here are decompositions:

  • 41 + 120167 = 120208
  • 131 + 120077 = 120208
  • 167 + 120041 = 120208
  • 191 + 120017 = 120208
  • 197 + 120011 = 120208
  • 227 + 119981 = 120208
  • 317 + 119891 = 120208
  • 359 + 119849 = 120208

Showing the first eight; more decompositions exist.

Unicode codepoint
𝖐
Mathematical Bold Fraktur Small K
U+1D590
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 90 (4 bytes).

Hex color
#01D590
RGB(1, 213, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.144.

Address
0.1.213.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.144

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 120,208 and was likely granted around 1871.

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

Related reading