Number

520

520 is a composite number, even, a calendar year.

520 (five hundred twenty) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 13. Its proper divisors sum to 740, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DXX and in binary, 1000001000.

Abundant Number Descending Digits Evil Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

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4 notable facts · grade D

508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532

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Historical context — 520 AD

Calendar year

Year 520 (DXX) was a leap year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 520 BC

Calendar year

The year 520 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Monday
January 1, 520
Ended on: Tuesday
December 31, 520
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 520s
520–529
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,506
1506 years before 2026.

In other calendars

Hebrew: 4280 / 4281 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1063 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 512 / 513 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 442 / 441 Saka
Indian national calendar; year starts in March.

Cultural significance

Chinese slang

Internet shorthand for "I love you."

520 (wǔ èr líng) sounds like 我爱你 (wǒ ài nǐ, "I love you").

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity: Even
Digit count: 3
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 25
Recamán's sequence: a(1,219) = 520
Square (n²): 270,400
Cube (n³): 140,608,000
Divisor count: 16
σ(n) — sum of divisors: 1,260
φ(n) — Euler's totient: 192
Sum of prime factors: 24

Primality

Prime factorization: 2 ³ × 5 × 13

Nearest primes: 509 (−11) · 521 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 260 (half) · 520

Aliquot sum (sum of proper divisors): 740

Factor pairs (a × b = 520)

1 × 520

2 × 260

4 × 130

5 × 104

8 × 65

10 × 52

13 × 40

20 × 26

First multiples

520 · 1,040 (double) · 1,560 · 2,080 · 2,600 · 3,120 · 3,640 · 4,160 · 4,680 · 5,200

Sums & aliquot sequence

As a sum of two squares: 6² + 22² = 14² + 18²

As a sum of two cubes: 2³ + 8³

As consecutive integers: 102 + 103 + 104 + 105 + 106 34 + 35 + … + 46 25 + 26 + … + 40

Aliquot sequence: 520 → 740 → 856 → 764 → 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 — unresolved within range

Continued fraction of √n

√520 = [22; (1, 4, 11, 4, 1, 44)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty
Ordinal: 520th
Roman numeral: DXX
Binary: 1000001000
Octal: 1010
Hexadecimal: 0x208
Base64: Agg=
One's complement: 65,015 (16-bit)
Scientific notation: 5.2 × 10²
As a duration: 520 s = 8 minutes, 40 seconds

In other bases

ternary (3) 201021

quaternary (4) 20020

quinary (5) 4040

senary (6) 2224

septenary (7) 1342

nonary (9) 637

undecimal (11) 433

duodecimal (12) 374

tridecimal (13) 310

tetradecimal (14) 292

pentadecimal (15) 24a

Palindromic in base 14

As an angle

520° = 1 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): φκʹ
Mayan (base 20): 𝋡·𝋦·𝋠
Chinese: 五百二十
Chinese (financial): 伍佰貳拾

In other modern scripts

Eastern Arabic ٥٢٠ Devanagari ५२० Bengali ৫২০ Tamil ௫௨௦ Thai ๕๒๐ Tibetan ༥༢༠ Khmer ៥២០ Lao ໕໒໐ Burmese ၅၂၀

Digit at this position in famous constants

π — Pi (π): Digit 520 = 3
e — Euler's number (e): Digit 520 = 9
φ — Golden ratio (φ): Digit 520 = 4
√2 — Pythagoras's (√2): Digit 520 = 7
ln 2 — Natural log of 2: Digit 520 = 6
γ — Euler-Mascheroni (γ): Digit 520 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520, here are decompositions:

11 + 509 = 520
17 + 503 = 520
29 + 491 = 520
41 + 479 = 520
53 + 467 = 520
59 + 461 = 520
71 + 449 = 520
89 + 431 = 520

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter I With Double Grave

U+0208

Uppercase letter (Lu)

UTF-8 encoding: C8 88 (2 bytes).

Lookup U+0208 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000208

RGB(0, 2, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.8.

Address: 0.0.2.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.8

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 520

The number 520 is an active NANP area code (North American Numbering Plan).

Primary area: Tucson
Region: Arizona
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 520 ↗

Musical pitch

Heard as a frequency, 520 Hz is closest to:

Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): C5 (512 Hz, +27¢)
Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, -10¢)