Live analysis

500,400

500,400 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.).

500,400 (five hundred thousand four hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 5² × 139. Its proper divisors sum to 1,248,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A2B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

500,388 500,389 500,390 500,391 500,392 500,393 500,394 500,395 500,396 500,397 500,398 500,399 500,400 500,401 500,402 500,403 500,404 500,405 500,406 500,407 500,408 500,409 500,410 500,411 500,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 4,005
Square (n²): 250,400,160,000
Cube (n³): 125,300,240,064,000,000
Divisor count: 90
σ(n) — sum of divisors: 1,749,020
φ(n) — Euler's totient: 132,480
Sum of prime factors: 163

Primality

Prime factorization: 2 ⁴ × 3 ² × 5 ² × 139

Nearest primes: 500,393 (−7) · 500,413 (+13)

Divisors & multiples

All divisors (90)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 48 · 50 · 60 · 72 · 75 · 80 · 90 · 100 · 120 · 139 · 144 · 150 · 180 · 200 · 225 · 240 · 278 · 300 · 360 · 400 · 417 · 450 · 556 · 600 · 695 · 720 · 834 · 900 · 1112 · 1200 · 1251 · 1390 · 1668 · 1800 · 2085 · 2224 · 2502 · 2780 · 3336 · 3475 · 3600 · 4170 · 5004 · 5560 · 6255 · 6672 · 6950 · 8340 · 10008 · 10425 · 11120 · 12510 · 13900 · 16680 · 20016 · 20850 · 25020 · 27800 · 31275 · 33360 · 41700 · 50040 · 55600 · 62550 · 83400 · 100080 · 125100 · 166800 · 250200 (half) · 500400

Aliquot sum (sum of proper divisors): 1,248,620

Factor pairs (a × b = 500,400)

1 × 500400

2 × 250200

3 × 166800

4 × 125100

5 × 100080

6 × 83400

8 × 62550

9 × 55600

10 × 50040

12 × 41700

15 × 33360

16 × 31275

18 × 27800

20 × 25020

24 × 20850

25 × 20016

30 × 16680

36 × 13900

40 × 12510

45 × 11120

48 × 10425

50 × 10008

60 × 8340

72 × 6950

75 × 6672

80 × 6255

90 × 5560

100 × 5004

120 × 4170

139 × 3600

144 × 3475

150 × 3336

180 × 2780

200 × 2502

225 × 2224

240 × 2085

278 × 1800

300 × 1668

360 × 1390

400 × 1251

417 × 1200

450 × 1112

556 × 900

600 × 834

695 × 720

First multiples

500,400 · 1,000,800 (double) · 1,501,200 · 2,001,600 · 2,502,000 · 3,002,400 · 3,502,800 · 4,003,200 · 4,503,600 · 5,004,000

Sums & aliquot sequence

As consecutive integers: 166,799 + 166,800 + 166,801 100,078 + 100,079 + 100,080 + 100,081 + 100,082 55,596 + 55,597 + … + 55,604 33,353 + 33,354 + … + 33,367

Aliquot sequence: 500,400 → 1,248,620 → 1,397,380 → 1,568,660 → 1,807,636 → 1,355,734 → 682,874 → 351,334 → 181,394 → 90,700 → 106,336 → 103,076 → 80,296 → 70,274 → 37,834 → 18,920 → 28,600 — unresolved within range

Continued fraction of √n

√500,400 = [707; (2, 1, 1, 3, 4, 3, 1, 2, 5, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: five hundred thousand four hundred
Ordinal: 500400th
Binary: 1111010001010110000
Octal: 1721260
Hexadecimal: 0x7A2B0
Base64: B6Kw
One's complement: 4,294,466,895 (32-bit)
Scientific notation: 5.004 × 10⁵
As a duration: 500,400 s = 5 days, 19 hours

In other bases

ternary (3) 221102102100

quaternary (4) 1322022300

quinary (5) 112003100

senary (6) 14420400

septenary (7) 4152615

nonary (9) 842370

undecimal (11) 311a5a

duodecimal (12) 201700

tridecimal (13) 1469c4

tetradecimal (14) d050c

pentadecimal (15) 9d400

As an angle

500,400° = 1,390 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓍢𓍢𓍢𓍢
Greek (Milesian): ͵φυʹ
Chinese: 五十萬零四百
Chinese (financial): 伍拾萬零肆佰

In other modern scripts

Eastern Arabic ٥٠٠٤٠٠ Devanagari ५००४०० Bengali ৫০০৪০০ Tamil ௫௦௦௪௦௦ Thai ๕๐๐๔๐๐ Tibetan ༥༠༠༤༠༠ Khmer ៥០០៤០០ Lao ໕໐໐໔໐໐ Burmese ၅၀၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 500400, here are decompositions:

7 + 500393 = 500400
11 + 500389 = 500400
31 + 500369 = 500400
37 + 500363 = 500400
59 + 500341 = 500400
67 + 500333 = 500400
79 + 500321 = 500400
83 + 500317 = 500400

Showing the first eight; more decompositions exist.

Hex color

#07A2B0

RGB(7, 162, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.162.176.

Address: 0.7.162.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.162.176

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 500,400 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US500,400 on Google Patents ↗ Look up on USPTO ↗