Live analysis

120,980

120,980 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.).

120,980 (one hundred twenty thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 263. Its proper divisors sum to 145,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D894.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,968 120,969 120,970 120,971 120,972 120,973 120,974 120,975 120,976 120,977 120,978 120,979 120,980 120,981 120,982 120,983 120,984 120,985 120,986 120,987 120,988 120,989 120,990 120,991 120,992

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 89,021
Square (n²): 14,636,160,400
Cube (n³): 1,770,682,685,192,000
Divisor count: 24
σ(n) — sum of divisors: 266,112
φ(n) — Euler's totient: 46,112
Sum of prime factors: 295

Primality

Prime factorization: 2 ² × 5 × 23 × 263

Nearest primes: 120,977 (−3) · 120,997 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 23 · 46 · 92 · 115 · 230 · 263 · 460 · 526 · 1052 · 1315 · 2630 · 5260 · 6049 · 12098 · 24196 · 30245 · 60490 (half) · 120980

Aliquot sum (sum of proper divisors): 145,132

Factor pairs (a × b = 120,980)

1 × 120980

2 × 60490

4 × 30245

5 × 24196

10 × 12098

20 × 6049

23 × 5260

46 × 2630

92 × 1315

115 × 1052

230 × 526

263 × 460

First multiples

120,980 · 241,960 (double) · 362,940 · 483,920 · 604,900 · 725,880 · 846,860 · 967,840 · 1,088,820 · 1,209,800

Sums & aliquot sequence

As consecutive integers: 24,194 + 24,195 + 24,196 + 24,197 + 24,198 15,119 + 15,120 + … + 15,126 5,249 + 5,250 + … + 5,271 3,005 + 3,006 + … + 3,044

Aliquot sequence: 120,980 → 145,132 → 128,484 → 207,852 → 277,164 → 423,536 → 408,256 → 402,004 → 301,510 → 290,762 → 145,384 → 143,516 → 107,644 → 91,940 → 101,176 → 88,544 → 85,840 — unresolved within range

Continued fraction of √n

√120,980 = [347; (1, 4, 1, 1, 1, 1, 2, 1, 7, 1, 35, 1, 2, 1, 2, 43, 8, 1, 3, 1, 1, 2, 34, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand nine hundred eighty
Ordinal: 120980th
Binary: 11101100010010100
Octal: 354224
Hexadecimal: 0x1D894
Base64: AdiU
One's complement: 4,294,846,315 (32-bit)
Scientific notation: 1.2098 × 10⁵
As a duration: 120,980 s = 1 day, 9 hours, 36 minutes, 20 seconds

In other bases

ternary (3) 20010221202

quaternary (4) 131202110

quinary (5) 12332410

senary (6) 2332032

septenary (7) 1012466

nonary (9) 203852

undecimal (11) 82992

duodecimal (12) 5a018

tridecimal (13) 430b2

tetradecimal (14) 32136

pentadecimal (15) 25ca5

As an angle

120,980° = 336 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκϡπʹ
Mayan (base 20): 𝋯·𝋢·𝋩·𝋠
Chinese: 一十二萬零九百八十
Chinese (financial): 壹拾貳萬零玖佰捌拾

In other modern scripts

Eastern Arabic ١٢٠٩٨٠ Devanagari १२०९८० Bengali ১২০৯৮০ Tamil ௧௨௦௯௮௦ Thai ๑๒๐๙๘๐ Tibetan ༡༢༠༩༨༠ Khmer ១២០៩៨០ Lao ໑໒໐໙໘໐ Burmese ၁၂၀၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120980, here are decompositions:

3 + 120977 = 120980
37 + 120943 = 120980
43 + 120937 = 120980
61 + 120919 = 120980
73 + 120907 = 120980
103 + 120877 = 120980
109 + 120871 = 120980
151 + 120829 = 120980

Showing the first eight; more decompositions exist.

Unicode codepoint

𝢔

Signwriting Hand-Circle Little Up

U+1D894

Other symbol (So)

UTF-8 encoding: F0 9D A2 94 (4 bytes).

Lookup U+1D894 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D894

RGB(1, 216, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.148.

Address: 0.1.216.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.216.148

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 120,980 and was likely granted around 1871.

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

Look up US120,980 on Google Patents ↗ Look up on USPTO ↗