number.wiki
Live analysis

120,560

120,560 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.).

120,560 (one hundred twenty thousand five hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 11 × 137. Its proper divisors sum to 187,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6F0.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
65,021
Square (n²)
14,534,713,600
Cube (n³)
1,752,305,071,616,000
Divisor count
40
σ(n) — sum of divisors
308,016
φ(n) — Euler's totient
43,520
Sum of prime factors
161

Primality

Prime factorization: 2 4 × 5 × 11 × 137

Nearest primes: 120,557 (−3) · 120,563 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 137 · 176 · 220 · 274 · 440 · 548 · 685 · 880 · 1096 · 1370 · 1507 · 2192 · 2740 · 3014 · 5480 · 6028 · 7535 · 10960 · 12056 · 15070 · 24112 · 30140 · 60280 (half) · 120560
Aliquot sum (sum of proper divisors): 187,456
Factor pairs (a × b = 120,560)
1 × 120560
2 × 60280
4 × 30140
5 × 24112
8 × 15070
10 × 12056
11 × 10960
16 × 7535
20 × 6028
22 × 5480
40 × 3014
44 × 2740
55 × 2192
80 × 1507
88 × 1370
110 × 1096
137 × 880
176 × 685
220 × 548
274 × 440
First multiples
120,560 · 241,120 (double) · 361,680 · 482,240 · 602,800 · 723,360 · 843,920 · 964,480 · 1,085,040 · 1,205,600

Sums & aliquot sequence

As consecutive integers: 24,110 + 24,111 + 24,112 + 24,113 + 24,114 10,955 + 10,956 + … + 10,965 3,752 + 3,753 + … + 3,783 2,165 + 2,166 + … + 2,219
Aliquot sequence: 120,560 187,456 201,164 150,880 230,144 260,416 297,876 406,828 364,292 284,104 280,196 280,252 280,308 493,836 823,284 1,887,788 1,887,844 — unresolved within range

Continued fraction of √n

√120,560 = [347; (4, 1, 1, 2, 15, 2, 1, 1, 4, 694)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred sixty
Ordinal
120560th
Binary
11101011011110000
Octal
353360
Hexadecimal
0x1D6F0
Base64
Adbw
One's complement
4,294,846,735 (32-bit)
Scientific notation
1.2056 × 10⁵
As a duration
120,560 s = 1 day, 9 hours, 29 minutes, 20 seconds
In other bases
ternary (3) 20010101012
quaternary (4) 131123300
quinary (5) 12324220
senary (6) 2330052
septenary (7) 1011326
nonary (9) 203335
undecimal (11) 82640
duodecimal (12) 59928
tridecimal (13) 42b4b
tetradecimal (14) 31d16
pentadecimal (15) 25ac5

As an angle

120,560° = 334 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκφξʹ
Mayan (base 20)
𝋯·𝋡·𝋨·𝋠
Chinese
一十二萬零五百六十
Chinese (financial)
壹拾貳萬零伍佰陸拾
In other modern scripts
Eastern Arabic ١٢٠٥٦٠ Devanagari १२०५६० Bengali ১২০৫৬০ Tamil ௧௨௦௫௬௦ Thai ๑๒๐๕๖๐ Tibetan ༡༢༠༥༦༠ Khmer ១២០៥៦០ Lao ໑໒໐໕໖໐ Burmese ၁၂၀၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120560, here are decompositions:

  • 3 + 120557 = 120560
  • 163 + 120397 = 120560
  • 211 + 120349 = 120560
  • 229 + 120331 = 120560
  • 241 + 120319 = 120560
  • 277 + 120283 = 120560
  • 283 + 120277 = 120560
  • 313 + 120247 = 120560

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛰
Mathematical Italic Capital Omicron
U+1D6F0
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9B B0 (4 bytes).

Hex color
#01D6F0
RGB(1, 214, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.240.

Address
0.1.214.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.240

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 120,560 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

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