Live analysis

520,400

520,400 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.).

520,400 (five hundred twenty thousand four hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 1,301. Its proper divisors sum to 730,822, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F0D0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

520,388 520,389 520,390 520,391 520,392 520,393 520,394 520,395 520,396 520,397 520,398 520,399 520,400 520,401 520,402 520,403 520,404 520,405 520,406 520,407 520,408 520,409 520,410 520,411 520,412

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Properties

Parity: Even
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 4,025
Square (n²): 270,816,160,000
Cube (n³): 140,932,729,664,000,000
Divisor count: 30
σ(n) — sum of divisors: 1,251,222
φ(n) — Euler's totient: 208,000
Sum of prime factors: 1,319

Primality

Prime factorization: 2 ⁴ × 5 ² × 1301

Nearest primes: 520,393 (−7) · 520,409 (+9)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 400 · 1301 · 2602 · 5204 · 6505 · 10408 · 13010 · 20816 · 26020 · 32525 · 52040 · 65050 · 104080 · 130100 · 260200 (half) · 520400

Aliquot sum (sum of proper divisors): 730,822

Factor pairs (a × b = 520,400)

1 × 520400

2 × 260200

4 × 130100

5 × 104080

8 × 65050

10 × 52040

16 × 32525

20 × 26020

25 × 20816

40 × 13010

50 × 10408

80 × 6505

100 × 5204

200 × 2602

400 × 1301

First multiples

520,400 · 1,040,800 (double) · 1,561,200 · 2,081,600 · 2,602,000 · 3,122,400 · 3,642,800 · 4,163,200 · 4,683,600 · 5,204,000

Sums & aliquot sequence

As a sum of two squares: 88² + 716² = 116² + 712² = 500² + 520²

As consecutive integers: 104,078 + 104,079 + 104,080 + 104,081 + 104,082 20,804 + 20,805 + … + 20,828 16,247 + 16,248 + … + 16,278 3,173 + 3,174 + … + 3,332

Aliquot sequence: 520,400 → 730,822 → 365,414 → 276,634 → 141,434 → 70,720 → 121,304 → 110,896 → 112,304 → 105,316 → 81,416 → 71,254 → 40,346 → 20,176 → 22,356 → 38,796 → 54,948 — unresolved within range

Continued fraction of √n

√520,400 = [721; (2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 89, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty thousand four hundred
Ordinal: 520400th
Binary: 1111111000011010000
Octal: 1770320
Hexadecimal: 0x7F0D0
Base64: B/DQ
One's complement: 4,294,446,895 (32-bit)
Scientific notation: 5.204 × 10⁵
As a duration: 520,400 s = 6 days, 33 minutes, 20 seconds

In other bases

ternary (3) 222102212002

quaternary (4) 1333003100

quinary (5) 113123100

senary (6) 15053132

septenary (7) 4265126

nonary (9) 872762

undecimal (11) 325a91

duodecimal (12) 2111a8

tridecimal (13) 152b3a

tetradecimal (14) d7916

pentadecimal (15) a42d5

As an angle

520,400° = 1,445 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵φκυʹ
Chinese: 五十二萬零四百
Chinese (financial): 伍拾貳萬零肆佰

In other modern scripts

Eastern Arabic ٥٢٠٤٠٠ Devanagari ५२०४०० Bengali ৫২০৪০০ Tamil ௫௨௦௪௦௦ Thai ๕๒๐๔๐๐ Tibetan ༥༢༠༤༠༠ Khmer ៥២០៤០០ Lao ໕໒໐໔໐໐ Burmese ၅၂၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520400, here are decompositions:

7 + 520393 = 520400
19 + 520381 = 520400
31 + 520369 = 520400
37 + 520363 = 520400
43 + 520357 = 520400
61 + 520339 = 520400
103 + 520297 = 520400
109 + 520291 = 520400

Showing the first eight; more decompositions exist.

Hex color

#07F0D0

RGB(7, 240, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.208.

Address: 0.7.240.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.240.208

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 520,400 and was likely granted around 1894.

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

Look up US520,400 on Google Patents ↗ Look up on USPTO ↗