Live analysis

120,402

120,402 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.).

120,402 (one hundred twenty thousand four hundred two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 6,689. Its proper divisors sum to 140,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D652.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

120,390 120,391 120,392 120,393 120,394 120,395 120,396 120,397 120,398 120,399 120,400 120,401 120,402 120,403 120,404 120,405 120,406 120,407 120,408 120,409 120,410 120,411 120,412 120,413 120,414

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 204,021
Square (n²): 14,496,641,604
Cube (n³): 1,745,424,642,404,808
Divisor count: 12
σ(n) — sum of divisors: 260,910
φ(n) — Euler's totient: 40,128
Sum of prime factors: 6,697

Primality

Prime factorization: 2 × 3 ² × 6689

Nearest primes: 120,401 (−1) · 120,413 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 6689 · 13378 · 20067 · 40134 · 60201 (half) · 120402

Aliquot sum (sum of proper divisors): 140,508

Factor pairs (a × b = 120,402)

1 × 120402

2 × 60201

3 × 40134

6 × 20067

9 × 13378

18 × 6689

First multiples

120,402 · 240,804 (double) · 361,206 · 481,608 · 602,010 · 722,412 · 842,814 · 963,216 · 1,083,618 · 1,204,020

Sums & aliquot sequence

As a sum of two squares: 189² + 291²

As consecutive integers: 40,133 + 40,134 + 40,135 30,099 + 30,100 + 30,101 + 30,102 13,374 + 13,375 + … + 13,382 10,028 + 10,029 + … + 10,039

Aliquot sequence: 120,402 → 140,508 → 224,052 → 298,764 → 478,012 → 358,516 → 282,572 → 224,284 → 176,900 → 226,720 → 355,400 → 471,370 → 377,114 → 192,634 → 129,926 → 66,634 → 33,320 — unresolved within range

Continued fraction of √n

√120,402 = [346; (1, 98, 7, 14, 49, 2, 346, 2, 49, 14, 7, 98, 1, 692)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand four hundred two
Ordinal: 120402nd
Binary: 11101011001010010
Octal: 353122
Hexadecimal: 0x1D652
Base64: AdZS
One's complement: 4,294,846,893 (32-bit)
Scientific notation: 1.20402 × 10⁵
As a duration: 120,402 s = 1 day, 9 hours, 26 minutes, 42 seconds

In other bases

ternary (3) 20010011100

quaternary (4) 131121102

quinary (5) 12323102

senary (6) 2325230

septenary (7) 1011012

nonary (9) 203140

undecimal (11) 82507

duodecimal (12) 59816

tridecimal (13) 42a59

tetradecimal (14) 31c42

pentadecimal (15) 25a1c

As an angle

120,402° = 334 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵ρκυβʹ
Mayan (base 20): 𝋯·𝋡·𝋠·𝋢
Chinese: 一十二萬零四百零二
Chinese (financial): 壹拾貳萬零肆佰零貳

In other modern scripts

Eastern Arabic ١٢٠٤٠٢ Devanagari १२०४०२ Bengali ১২০৪০২ Tamil ௧௨௦௪௦௨ Thai ๑๒๐๔๐๒ Tibetan ༡༢༠༤༠༢ Khmer ១២០៤០២ Lao ໑໒໐໔໐໒ Burmese ၁၂၀၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120402, here are decompositions:

5 + 120397 = 120402
11 + 120391 = 120402
19 + 120383 = 120402
31 + 120371 = 120402
53 + 120349 = 120402
71 + 120331 = 120402
83 + 120319 = 120402
103 + 120299 = 120402

Showing the first eight; more decompositions exist.

Unicode codepoint

𝙒

Mathematical Sans-Serif Bold Italic Capital W

U+1D652

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 92 (4 bytes).

Lookup U+1D652 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D652

RGB(1, 214, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.82.

Address: 0.1.214.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.82

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 120,402 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 US120,402 on Google Patents ↗ Look up on USPTO ↗