Number

560

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

560 (five hundred sixty) is an even 3-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 7. Its proper divisors sum to 928, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DLX and in binary, 1000110000.

Abundant Number Octagonal Odious Number Pernicious Number Practical Number Preferred Number Recamán's Sequence Refactorable Number Semiperfect Number Tetrahedral Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572

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Historical context — 560 AD

Calendar year

Year 560 (DLX) was a leap year starting on Thursday of the Julian calendar.

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

Historical context — 560 BC

Calendar year

The year 560 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: Tuesday
January 1, 560
Ended on: Wednesday
December 31, 560
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 560s
560–569
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,466
1466 years before 2026.

In other calendars

Hebrew: 4320 / 4321 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1103 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 552 / 553 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 482 / 481 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 65
Recamán's sequence: a(1,139) = 560
Square (n²): 313,600
Cube (n³): 175,616,000
Divisor count: 20
σ(n) — sum of divisors: 1,488
φ(n) — Euler's totient: 192
Sum of prime factors: 20

Primality

Prime factorization: 2 ⁴ × 5 × 7

Nearest primes: 557 (−3) · 563 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 280 (half) · 560

Aliquot sum (sum of proper divisors): 928

Factor pairs (a × b = 560)

1 × 560

2 × 280

4 × 140

5 × 112

7 × 80

8 × 70

10 × 56

14 × 40

16 × 35

20 × 28

First multiples

560 · 1,120 (double) · 1,680 · 2,240 · 2,800 · 3,360 · 3,920 · 4,480 · 5,040 · 5,600

Sums & aliquot sequence

As consecutive integers: 110 + 111 + 112 + 113 + 114 77 + 78 + … + 83 2 + 3 + … + 33

Aliquot sequence: 560 → 928 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 — unresolved within range

Continued fraction of √n

√560 = [23; (1, 1, 1, 46)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: five hundred sixty
Ordinal: 560th
Roman numeral: DLX
Binary: 1000110000
Octal: 1060
Hexadecimal: 0x230
Base64: AjA=
One's complement: 64,975 (16-bit)
Scientific notation: 5.6 × 10²
As a duration: 560 s = 9 minutes, 20 seconds

In other bases

ternary (3) 202202

quaternary (4) 20300

quinary (5) 4220

senary (6) 2332

septenary (7) 1430

nonary (9) 682

undecimal (11) 46a

duodecimal (12) 3a8

tridecimal (13) 341

tetradecimal (14) 2c0

pentadecimal (15) 275

Palindromic in base 3, base 6

As an angle

560° = 1 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): φξʹ
Mayan (base 20): 𝋡·𝋨·𝋠
Chinese: 五百六十
Chinese (financial): 伍佰陸拾

In other modern scripts

Eastern Arabic ٥٦٠ Devanagari ५६० Bengali ৫৬০ Tamil ௫௬௦ Thai ๕๖๐ Tibetan ༥༦༠ Khmer ៥៦០ Lao ໕໖໐ Burmese ၅၆၀

Digit at this position in famous constants

π — Pi (π): Digit 560 = 7
e — Euler's number (e): Digit 560 = 4
φ — Golden ratio (φ): Digit 560 = 2
√2 — Pythagoras's (√2): Digit 560 = 4
ln 2 — Natural log of 2: Digit 560 = 6
γ — Euler-Mascheroni (γ): Digit 560 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 560, here are decompositions:

3 + 557 = 560
13 + 547 = 560
19 + 541 = 560
37 + 523 = 560
61 + 499 = 560
73 + 487 = 560
97 + 463 = 560
103 + 457 = 560

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter O With Dot Above And Macron

U+0230

Uppercase letter (Lu)

UTF-8 encoding: C8 B0 (2 bytes).

Lookup U+0230 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000230

RGB(0, 2, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.48.

Address: 0.0.2.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.48

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

Musical pitch

Heard as a frequency, 560 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯5 (554.4 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): D5 (574.7 Hz, -45¢ — about midway to C♯5)
Baroque pitch (A4 = 415 Hz): D5 (554 Hz, +19¢)