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120,666

120,666 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.).

120,666 (one hundred twenty thousand six hundred sixty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 7 × 13² × 17. Its proper divisors sum to 195,558, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D75A.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
666,021
Square (n²)
14,560,283,556
Cube (n³)
1,756,931,175,568,296
Divisor count
48
σ(n) — sum of divisors
316,224
φ(n) — Euler's totient
29,952
Sum of prime factors
55

Primality

Prime factorization: 2 × 3 × 7 × 13 2 × 17

Nearest primes: 120,661 (−5) · 120,671 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 7 · 13 · 14 · 17 · 21 · 26 · 34 · 39 · 42 · 51 · 78 · 91 · 102 · 119 · 169 · 182 · 221 · 238 · 273 · 338 · 357 · 442 · 507 · 546 · 663 · 714 · 1014 · 1183 · 1326 · 1547 · 2366 · 2873 · 3094 · 3549 · 4641 · 5746 · 7098 · 8619 · 9282 · 17238 · 20111 · 40222 · 60333 (half) · 120666
Aliquot sum (sum of proper divisors): 195,558
Factor pairs (a × b = 120,666)
1 × 120666
2 × 60333
3 × 40222
6 × 20111
7 × 17238
13 × 9282
14 × 8619
17 × 7098
21 × 5746
26 × 4641
34 × 3549
39 × 3094
42 × 2873
51 × 2366
78 × 1547
91 × 1326
102 × 1183
119 × 1014
169 × 714
182 × 663
221 × 546
238 × 507
273 × 442
338 × 357
First multiples
120,666 · 241,332 (double) · 361,998 · 482,664 · 603,330 · 723,996 · 844,662 · 965,328 · 1,085,994 · 1,206,660

Sums & aliquot sequence

As consecutive integers: 40,221 + 40,222 + 40,223 30,165 + 30,166 + 30,167 + 30,168 17,235 + 17,236 + … + 17,241 10,050 + 10,051 + … + 10,061
Aliquot sequence: 120,666 195,558 231,258 231,270 367,482 378,438 378,450 674,589 224,867 2,173 95 25 6 6 — reaches a perfect number

Continued fraction of √n

√120,666 = [347; (2, 1, 2, 2, 1, 4, 1, 3, 3, 2, 40, 2, 3, 3, 1, 4, 1, 2, 2, 1, 2, 694)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand six hundred sixty-six
Ordinal
120666th
Binary
11101011101011010
Octal
353532
Hexadecimal
0x1D75A
Base64
Adda
One's complement
4,294,846,629 (32-bit)
Scientific notation
1.20666 × 10⁵
As a duration
120,666 s = 1 day, 9 hours, 31 minutes, 6 seconds
In other bases
ternary (3) 20010112010
quaternary (4) 131131122
quinary (5) 12330131
senary (6) 2330350
septenary (7) 1011540
nonary (9) 203463
undecimal (11) 82727
duodecimal (12) 599b6
tridecimal (13) 42c00
tetradecimal (14) 31d90
pentadecimal (15) 25b46

As an angle

120,666° = 335 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκχξϛʹ
Mayan (base 20)
𝋯·𝋡·𝋭·𝋦
Chinese
一十二萬零六百六十六
Chinese (financial)
壹拾貳萬零陸佰陸拾陸
In other modern scripts
Eastern Arabic ١٢٠٦٦٦ Devanagari १२०६६६ Bengali ১২০৬৬৬ Tamil ௧௨௦௬௬௬ Thai ๑๒๐๖๖๖ Tibetan ༡༢༠༦༦༦ Khmer ១២០៦៦៦ Lao ໑໒໐໖໖໖ Burmese ၁၂၀၆၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120666, here are decompositions:

  • 5 + 120661 = 120666
  • 19 + 120647 = 120666
  • 43 + 120623 = 120666
  • 47 + 120619 = 120666
  • 59 + 120607 = 120666
  • 79 + 120587 = 120666
  • 89 + 120577 = 120666
  • 97 + 120569 = 120666

Showing the first eight; more decompositions exist.

Unicode codepoint
𝝚
Mathematical Sans-Serif Bold Capital Epsilon
U+1D75A
Uppercase letter (Lu)

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

Hex color
#01D75A
RGB(1, 215, 90)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.90.

Address
0.1.215.90
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.90

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 120,666 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

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