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Number

580

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

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 580 AD

Calendar year

Year 580 (DLXXX) was a leap year starting on Monday of the Julian calendar.

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

Historical context — 580 BC

Calendar year

The year 580 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: Saturday
January 1, 580
Ended on: Sunday
December 31, 580
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 580s
580–589
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,446
1446 years before 2026.

In other calendars

Hebrew: 4340 / 4341 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: 1123 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 572 / 573 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 502 / 501 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 85
Recamán's sequence: a(1,099) = 580
Square (n²): 336,400
Cube (n³): 195,112,000
Divisor count: 12
σ(n) — sum of divisors: 1,260
φ(n) — Euler's totient: 224
Sum of prime factors: 38

Primality

Prime factorization: 2 ² × 5 × 29

Nearest primes: 577 (−3) · 587 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 29 · 58 · 116 · 145 · 290 (half) · 580

Aliquot sum (sum of proper divisors): 680

Factor pairs (a × b = 580)

1 × 580

2 × 290

4 × 145

5 × 116

10 × 58

20 × 29

First multiples

580 · 1,160 (double) · 1,740 · 2,320 · 2,900 · 3,480 · 4,060 · 4,640 · 5,220 · 5,800

Sums & aliquot sequence

As a sum of two squares: 2² + 24² = 16² + 18²

As consecutive integers: 114 + 115 + 116 + 117 + 118 69 + 70 + … + 76 6 + 7 + … + 34

Aliquot sequence: 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 — unresolved within range

Representations

In words: five hundred eighty
Ordinal: 580th
Roman numeral: DLXXX
Binary: 1001000100
Octal: 1104
Hexadecimal: 0x244
Base64: AkQ=
One's complement: 64,955 (16-bit)

In other bases

ternary (3) 210111

quaternary (4) 21010

quinary (5) 4310

senary (6) 2404

septenary (7) 1456

nonary (9) 714

undecimal (11) 488

duodecimal (12) 404

tridecimal (13) 358

tetradecimal (14) 2d6

pentadecimal (15) 28a

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): φπʹ
Mayan (base 20): 𝋡·𝋩·𝋠
Chinese: 五百八十
Chinese (financial): 伍佰捌拾

In other modern scripts

Eastern Arabic ٥٨٠ Devanagari ५८० Bengali ৫৮০ Tamil ௫௮௦ Thai ๕๘๐ Tibetan ༥༨༠ Khmer ៥៨០ Lao ໕໘໐ Burmese ၅၈၀

Digit at this position in famous constants

π — Pi (π): Digit 580 = 2
e — Euler's number (e): Digit 580 = 9
φ — Golden ratio (φ): Digit 580 = 5
√2 — Pythagoras's (√2): Digit 580 = 2
ln 2 — Natural log of 2: Digit 580 = 6
γ — Euler-Mascheroni (γ): Digit 580 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 580, here are decompositions:

3 + 577 = 580
11 + 569 = 580
17 + 563 = 580
23 + 557 = 580
59 + 521 = 580
71 + 509 = 580
89 + 491 = 580
101 + 479 = 580

Showing the first eight; more decompositions exist.

Unicode codepoint

Ʉ

Latin Capital Letter U Bar

U+0244

Uppercase letter (Lu)

UTF-8 encoding: C9 84 (2 bytes).

Lookup U+0244 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000244

RGB(0, 2, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.68.

Address: 0.0.2.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.68

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

NANP area code 580

The number 580 is an active NANP area code (North American Numbering Plan).

Primary area: Lawton / Enid
Region: Oklahoma
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 580 ↗