Live analysis

120,108

120,108 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.).

120,108 (one hundred twenty thousand one hundred eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,009. Its proper divisors sum to 160,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D52C.

Abundant Number Cube-Free Happy Number Harshad / Niven Moran Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,096 120,097 120,098 120,099 120,100 120,101 120,102 120,103 120,104 120,105 120,106 120,107 120,108 120,109 120,110 120,111 120,112 120,113 120,114 120,115 120,116 120,117 120,118 120,119 120,120

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 801,021
Recamán's sequence: a(239,880) = 120,108
Square (n²): 14,425,931,664
Cube (n³): 1,732,669,800,299,712
Divisor count: 12
σ(n) — sum of divisors: 280,280
φ(n) — Euler's totient: 40,032
Sum of prime factors: 10,016

Primality

Prime factorization: 2 ² × 3 × 10009

Nearest primes: 120,103 (−5) · 120,121 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 10009 · 20018 · 30027 · 40036 · 60054 (half) · 120108

Aliquot sum (sum of proper divisors): 160,172

Factor pairs (a × b = 120,108)

1 × 120108

2 × 60054

3 × 40036

4 × 30027

6 × 20018

12 × 10009

First multiples

120,108 · 240,216 (double) · 360,324 · 480,432 · 600,540 · 720,648 · 840,756 · 960,864 · 1,080,972 · 1,201,080

Sums & aliquot sequence

As consecutive integers: 40,035 + 40,036 + 40,037 15,010 + 15,011 + … + 15,017 4,993 + 4,994 + … + 5,016

Aliquot sequence: 120,108 → 160,172 → 132,484 → 120,524 → 97,876 → 73,414 → 51,002 → 36,454 → 23,234 → 11,620 → 16,604 → 16,660 → 26,432 → 34,528 → 39,560 → 55,480 → 77,720 — unresolved within range

Continued fraction of √n

√120,108 = [346; (1, 1, 3, 3, 2, 12, 1, 8, 1, 1, 3, 9, 1, 3, 5, 28, 1, 2, 4, 2, 1, 1, 1, 4, …)]

Representations

In words: one hundred twenty thousand one hundred eight
Ordinal: 120108th
Binary: 11101010100101100
Octal: 352454
Hexadecimal: 0x1D52C
Base64: AdUs
One's complement: 4,294,847,187 (32-bit)
Scientific notation: 1.20108 × 10⁵
As a duration: 120,108 s = 1 day, 9 hours, 21 minutes, 48 seconds

In other bases

ternary (3) 20002202110

quaternary (4) 131110230

quinary (5) 12320413

senary (6) 2324020

septenary (7) 1010112

nonary (9) 202673

undecimal (11) 8226a

duodecimal (12) 59610

tridecimal (13) 42891

tetradecimal (14) 31ab2

pentadecimal (15) 258c3

As an angle

120,108° = 333 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκρηʹ
Mayan (base 20): 𝋯·𝋠·𝋥·𝋨
Chinese: 一十二萬零一百零八
Chinese (financial): 壹拾貳萬零壹佰零捌

In other modern scripts

Eastern Arabic ١٢٠١٠٨ Devanagari १२०१०८ Bengali ১২০১০৮ Tamil ௧௨௦௧௦௮ Thai ๑๒๐๑๐๘ Tibetan ༡༢༠༡༠༨ Khmer ១២០១០៨ Lao ໑໒໐໑໐໘ Burmese ၁၂၀၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120108, here are decompositions:

5 + 120103 = 120108
11 + 120097 = 120108
17 + 120091 = 120108
29 + 120079 = 120108
31 + 120077 = 120108
41 + 120067 = 120108
59 + 120049 = 120108
61 + 120047 = 120108

Showing the first eight; more decompositions exist.

Unicode codepoint

𝔬

Mathematical Fraktur Small O

U+1D52C

Lowercase letter (Ll)

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

Lookup U+1D52C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D52C

RGB(1, 213, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.44.

Address: 0.1.213.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.44

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 120,108 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 US120,108 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120108 first appears in π at position 583,783 of the decimal expansion (the 583,783ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 120108 on Pi Search ↗