Live analysis

120,324

120,324 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.).

120,324 (one hundred twenty thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 271. Its proper divisors sum to 169,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D604.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

120,312 120,313 120,314 120,315 120,316 120,317 120,318 120,319 120,320 120,321 120,322 120,323 120,324 120,325 120,326 120,327 120,328 120,329 120,330 120,331 120,332 120,333 120,334 120,335 120,336

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 423,021
Square (n²): 14,477,864,976
Cube (n³): 1,742,034,625,372,224
Divisor count: 24
σ(n) — sum of divisors: 289,408
φ(n) — Euler's totient: 38,880
Sum of prime factors: 315

Primality

Prime factorization: 2 ² × 3 × 37 × 271

Nearest primes: 120,319 (−5) · 120,331 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 37 · 74 · 111 · 148 · 222 · 271 · 444 · 542 · 813 · 1084 · 1626 · 3252 · 10027 · 20054 · 30081 · 40108 · 60162 (half) · 120324

Aliquot sum (sum of proper divisors): 169,084

Factor pairs (a × b = 120,324)

1 × 120324

2 × 60162

3 × 40108

4 × 30081

6 × 20054

12 × 10027

37 × 3252

74 × 1626

111 × 1084

148 × 813

222 × 542

271 × 444

First multiples

120,324 · 240,648 (double) · 360,972 · 481,296 · 601,620 · 721,944 · 842,268 · 962,592 · 1,082,916 · 1,203,240

Sums & aliquot sequence

As consecutive integers: 40,107 + 40,108 + 40,109 15,037 + 15,038 + … + 15,044 5,002 + 5,003 + … + 5,025 3,234 + 3,235 + … + 3,270

Aliquot sequence: 120,324 → 169,084 → 134,324 → 100,750 → 108,914 → 72,526 → 36,266 → 18,136 → 15,884 → 16,120 → 24,200 → 37,645 → 7,535 → 2,401 → 400 → 561 → 303 — unresolved within range

Continued fraction of √n

√120,324 = [346; (1, 7, 6, 7, 1, 692)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand three hundred twenty-four
Ordinal: 120324th
Binary: 11101011000000100
Octal: 353004
Hexadecimal: 0x1D604
Base64: AdYE
One's complement: 4,294,846,971 (32-bit)
Scientific notation: 1.20324 × 10⁵
As a duration: 120,324 s = 1 day, 9 hours, 25 minutes, 24 seconds

In other bases

ternary (3) 20010001110

quaternary (4) 131120010

quinary (5) 12322244

senary (6) 2325020

septenary (7) 1010541

nonary (9) 203043

undecimal (11) 82446

duodecimal (12) 59770

tridecimal (13) 429c9

tetradecimal (14) 31bc8

pentadecimal (15) 259b9

As an angle

120,324° = 334 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκτκδʹ
Mayan (base 20): 𝋯·𝋠·𝋰·𝋤
Chinese: 一十二萬零三百二十四
Chinese (financial): 壹拾貳萬零參佰貳拾肆

In other modern scripts

Eastern Arabic ١٢٠٣٢٤ Devanagari १२०३२४ Bengali ১২০৩২৪ Tamil ௧௨௦௩௨௪ Thai ๑๒๐๓๒๔ Tibetan ༡༢༠༣༢༤ Khmer ១២០៣២៤ Lao ໑໒໐໓໒໔ Burmese ၁၂၀၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120324, here are decompositions:

5 + 120319 = 120324
31 + 120293 = 120324
41 + 120283 = 120324
47 + 120277 = 120324
101 + 120223 = 120324
131 + 120193 = 120324
157 + 120167 = 120324
167 + 120157 = 120324

Showing the first eight; more decompositions exist.

Unicode codepoint

𝘄

Mathematical Sans-Serif Bold Small W

U+1D604

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 98 84 (4 bytes).

Lookup U+1D604 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D604

RGB(1, 214, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.4.

Address: 0.1.214.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.4

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 120,324 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 US120,324 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120324 first appears in π at position 682,196 of the decimal expansion (the 682,196ordinal-suffix:th 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 120324 on Pi Search ↗