Live analysis

120,438

120,438 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.).

120,438 (one hundred twenty thousand four hundred thirty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 6,691. Its proper divisors sum to 140,550, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D676.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

120,426 120,427 120,428 120,429 120,430 120,431 120,432 120,433 120,434 120,435 120,436 120,437 120,438 120,439 120,440 120,441 120,442 120,443 120,444 120,445 120,446 120,447 120,448 120,449 120,450

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 834,021
Square (n²): 14,505,311,844
Cube (n³): 1,746,990,747,867,672
Divisor count: 12
σ(n) — sum of divisors: 260,988
φ(n) — Euler's totient: 40,140
Sum of prime factors: 6,699

Primality

Prime factorization: 2 × 3 ² × 6691

Nearest primes: 120,431 (−7) · 120,473 (+35)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 6691 · 13382 · 20073 · 40146 · 60219 (half) · 120438

Aliquot sum (sum of proper divisors): 140,550

Factor pairs (a × b = 120,438)

1 × 120438

2 × 60219

3 × 40146

6 × 20073

9 × 13382

18 × 6691

First multiples

120,438 · 240,876 (double) · 361,314 · 481,752 · 602,190 · 722,628 · 843,066 · 963,504 · 1,083,942 · 1,204,380

Sums & aliquot sequence

As consecutive integers: 40,145 + 40,146 + 40,147 30,108 + 30,109 + 30,110 + 30,111 13,378 + 13,379 + … + 13,386 10,031 + 10,032 + … + 10,042

Aliquot sequence: 120,438 → 140,550 → 208,386 → 284,094 → 347,346 → 438,894 → 539,226 → 670,554 → 782,352 → 1,464,528 → 2,611,600 → 3,663,730 → 4,008,698 → 2,004,352 → 2,561,168 → 2,401,126 → 2,114,714 — unresolved within range

Continued fraction of √n

√120,438 = [347; (23, 1, 13, 1, 4, 4, 18, 36, 2, 9, 1, 6, 2, 11, 1, 1, 346, 1, 1, 11, 2, 6, 1, 9, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand four hundred thirty-eight
Ordinal: 120438th
Binary: 11101011001110110
Octal: 353166
Hexadecimal: 0x1D676
Base64: AdZ2
One's complement: 4,294,846,857 (32-bit)
Scientific notation: 1.20438 × 10⁵
As a duration: 120,438 s = 1 day, 9 hours, 27 minutes, 18 seconds

In other bases

ternary (3) 20010012200

quaternary (4) 131121312

quinary (5) 12323223

senary (6) 2325330

septenary (7) 1011063

nonary (9) 203180

undecimal (11) 8253a

duodecimal (12) 59846

tridecimal (13) 42a86

tetradecimal (14) 31c6a

pentadecimal (15) 25a43

As an angle

120,438° = 334 × 360° + 198°

198° ≈ 3.456 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκυληʹ
Mayan (base 20): 𝋯·𝋡·𝋡·𝋲
Chinese: 一十二萬零四百三十八
Chinese (financial): 壹拾貳萬零肆佰參拾捌

In other modern scripts

Eastern Arabic ١٢٠٤٣٨ Devanagari १२०४३८ Bengali ১২০৪৩৮ Tamil ௧௨௦௪௩௮ Thai ๑๒๐๔๓๘ Tibetan ༡༢༠༤༣༨ Khmer ១២០៤៣៨ Lao ໑໒໐໔໓໘ Burmese ၁၂၀၄၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120438, here are decompositions:

7 + 120431 = 120438
11 + 120427 = 120438
37 + 120401 = 120438
41 + 120397 = 120438
47 + 120391 = 120438
67 + 120371 = 120438
89 + 120349 = 120438
107 + 120331 = 120438

Showing the first eight; more decompositions exist.

Unicode codepoint

𝙶

Mathematical Monospace Capital G

U+1D676

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 B6 (4 bytes).

Lookup U+1D676 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D676

RGB(1, 214, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.118.

Address: 0.1.214.118
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.118

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 120,438 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 US120,438 on Google Patents ↗ Look up on USPTO ↗