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120,516

120,516 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.).

120,516 (one hundred twenty thousand five hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 11² × 83. Its proper divisors sum to 192,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6C4.

Abundant Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
615,021
Square (n²)
14,524,106,256
Cube (n³)
1,750,387,189,548,096
Divisor count
36
σ(n) — sum of divisors
312,816
φ(n) — Euler's totient
36,080
Sum of prime factors
112

Primality

Prime factorization: 2 2 × 3 × 11 2 × 83

Nearest primes: 120,511 (−5) · 120,539 (+23)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 83 · 121 · 132 · 166 · 242 · 249 · 332 · 363 · 484 · 498 · 726 · 913 · 996 · 1452 · 1826 · 2739 · 3652 · 5478 · 10043 · 10956 · 20086 · 30129 · 40172 · 60258 (half) · 120516
Aliquot sum (sum of proper divisors): 192,300
Factor pairs (a × b = 120,516)
1 × 120516
2 × 60258
3 × 40172
4 × 30129
6 × 20086
11 × 10956
12 × 10043
22 × 5478
33 × 3652
44 × 2739
66 × 1826
83 × 1452
121 × 996
132 × 913
166 × 726
242 × 498
249 × 484
332 × 363
First multiples
120,516 · 241,032 (double) · 361,548 · 482,064 · 602,580 · 723,096 · 843,612 · 964,128 · 1,084,644 · 1,205,160

Sums & aliquot sequence

As consecutive integers: 40,171 + 40,172 + 40,173 15,061 + 15,062 + … + 15,068 10,951 + 10,952 + … + 10,961 5,010 + 5,011 + … + 5,033
Aliquot sequence: 120,516 192,300 364,956 537,204 732,876 992,484 1,650,156 2,427,204 3,672,316 2,754,244 2,065,690 2,055,590 1,644,490 1,315,610 1,052,506 890,918 663,814 — unresolved within range

Continued fraction of √n

√120,516 = [347; (6, 2, 19, 2, 1, 1, 1, 18, 7, 5, 1, 1, 2, 10, 2, 5, 8, 5, 2, 10, 2, 1, 1, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred sixteen
Ordinal
120516th
Binary
11101011011000100
Octal
353304
Hexadecimal
0x1D6C4
Base64
AdbE
One's complement
4,294,846,779 (32-bit)
Scientific notation
1.20516 × 10⁵
As a duration
120,516 s = 1 day, 9 hours, 28 minutes, 36 seconds
In other bases
ternary (3) 20010022120
quaternary (4) 131123010
quinary (5) 12324031
senary (6) 2325540
septenary (7) 1011234
nonary (9) 203276
undecimal (11) 82600
duodecimal (12) 598b0
tridecimal (13) 42b16
tetradecimal (14) 31cc4
pentadecimal (15) 25a96

As an angle

120,516° = 334 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκφιϛʹ
Mayan (base 20)
𝋯·𝋡·𝋥·𝋰
Chinese
一十二萬零五百一十六
Chinese (financial)
壹拾貳萬零伍佰壹拾陸
In other modern scripts
Eastern Arabic ١٢٠٥١٦ Devanagari १२०५१६ Bengali ১২০৫১৬ Tamil ௧௨௦௫௧௬ Thai ๑๒๐๕๑๖ Tibetan ༡༢༠༥༡༦ Khmer ១២០៥១៦ Lao ໑໒໐໕໑໖ Burmese ၁၂၀၅၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120516, here are decompositions:

  • 5 + 120511 = 120516
  • 13 + 120503 = 120516
  • 43 + 120473 = 120516
  • 89 + 120427 = 120516
  • 103 + 120413 = 120516
  • 167 + 120349 = 120516
  • 197 + 120319 = 120516
  • 223 + 120293 = 120516

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛄
Mathematical Bold Small Gamma
U+1D6C4
Lowercase letter (Ll)

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

Hex color
#01D6C4
RGB(1, 214, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.196.

Address
0.1.214.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.196

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 120,516 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°.