Live analysis

120,138

120,138 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.).

120,138 (one hundred twenty thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 20,023. Its proper divisors sum to 120,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D54A.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,126 120,127 120,128 120,129 120,130 120,131 120,132 120,133 120,134 120,135 120,136 120,137 120,138 120,139 120,140 120,141 120,142 120,143 120,144 120,145 120,146 120,147 120,148 120,149 120,150

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 831,021
Recamán's sequence: a(239,820) = 120,138
Square (n²): 14,433,139,044
Cube (n³): 1,733,968,458,468,072
Divisor count: 8
σ(n) — sum of divisors: 240,288
φ(n) — Euler's totient: 40,044
Sum of prime factors: 20,028

Primality

Prime factorization: 2 × 3 × 20023

Nearest primes: 120,121 (−17) · 120,157 (+19)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 20023 · 40046 · 60069 (half) · 120138

Aliquot sum (sum of proper divisors): 120,150

Factor pairs (a × b = 120,138)

1 × 120138

2 × 60069

3 × 40046

6 × 20023

First multiples

120,138 · 240,276 (double) · 360,414 · 480,552 · 600,690 · 720,828 · 840,966 · 961,104 · 1,081,242 · 1,201,380

Sums & aliquot sequence

As consecutive integers: 40,045 + 40,046 + 40,047 30,033 + 30,034 + 30,035 + 30,036 10,006 + 10,007 + … + 10,017

Aliquot sequence: 120,138 → 120,150 → 214,650 → 393,012 → 635,246 → 385,954 → 192,980 → 212,320 → 289,664 → 314,176 → 309,394 → 171,800 → 228,100 → 267,094 → 138,626 → 69,316 → 68,668 — unresolved within range

Continued fraction of √n

√120,138 = [346; (1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 14, 6, 5, 1, 1, 1, 17, 1, 1, 2, 7, 1, 1, 3, …)]

Representations

In words: one hundred twenty thousand one hundred thirty-eight
Ordinal: 120138th
Binary: 11101010101001010
Octal: 352512
Hexadecimal: 0x1D54A
Base64: AdVK
One's complement: 4,294,847,157 (32-bit)
Scientific notation: 1.20138 × 10⁵
As a duration: 120,138 s = 1 day, 9 hours, 22 minutes, 18 seconds

In other bases

ternary (3) 20002210120

quaternary (4) 131111022

quinary (5) 12321023

senary (6) 2324110

septenary (7) 1010154

nonary (9) 202716

undecimal (11) 82297

duodecimal (12) 59636

tridecimal (13) 428b5

tetradecimal (14) 31ad4

pentadecimal (15) 258e3

As an angle

120,138° = 333 × 360° + 258°

258° ≈ 4.503 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκρληʹ
Mayan (base 20): 𝋯·𝋠·𝋦·𝋲
Chinese: 一十二萬零一百三十八
Chinese (financial): 壹拾貳萬零壹佰參拾捌

In other modern scripts

Eastern Arabic ١٢٠١٣٨ Devanagari १२०१३८ Bengali ১২০১৩৮ Tamil ௧௨௦௧௩௮ Thai ๑๒๐๑๓๘ Tibetan ༡༢༠༡༣༨ Khmer ១២០១៣៨ Lao ໑໒໐໑໓໘ Burmese ၁၂၀၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120138, here are decompositions:

17 + 120121 = 120138
41 + 120097 = 120138
47 + 120091 = 120138
59 + 120079 = 120138
61 + 120077 = 120138
71 + 120067 = 120138
89 + 120049 = 120138
97 + 120041 = 120138

Showing the first eight; more decompositions exist.

Unicode codepoint

𝕊

Mathematical Double-Struck Capital S

U+1D54A

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 95 8A (4 bytes).

Lookup U+1D54A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D54A

RGB(1, 213, 74)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.74.

Address: 0.1.213.74
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.74

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 120,138 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 US120,138 on Google Patents ↗ Look up on USPTO ↗