Number

1,560

1,560 is a composite number, even, a calendar year.

1,560 (one thousand five hundred sixty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 13. Its proper divisors sum to 3,480, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDLX and in binary, 11000011000.

Abundant Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,548 1,549 1,550 1,551 1,552 1,553 1,554 1,555 1,556 1,557 1,558 1,559 1,560 1,561 1,562 1,563 1,564 1,565 1,566 1,567 1,568 1,569 1,570 1,571 1,572

less more

Notable events — 1560 AD

Aug 24 Scottish Parliament establishes Protestantism with the Confession of Faith.
Dec 5 Francis II of France dies; Charles IX succeeds him.
Mar 17 The Treaty of Berwick allies England with the Scottish Lords of the Congregation.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Friday
January 1, 1560
Ended on: Saturday
December 31, 1560
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1560s
1560–1569
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 466
466 years before 2026.

In other calendars

Hebrew: 5320 / 5321 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 967 / 968 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2103 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 938 / 939 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1552 / 1553 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1482 / 1481 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 651
Recamán's sequence: a(1,440) = 1,560
Square (n²): 2,433,600
Cube (n³): 3,796,416,000
Divisor count: 32
σ(n) — sum of divisors: 5,040
φ(n) — Euler's totient: 384
Sum of prime factors: 27

Primality

Prime factorization: 2 ³ × 3 × 5 × 13

Nearest primes: 1,559 (−1) · 1,567 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 20 · 24 · 26 · 30 · 39 · 40 · 52 · 60 · 65 · 78 · 104 · 120 · 130 · 156 · 195 · 260 · 312 · 390 · 520 · 780 (half) · 1560

Aliquot sum (sum of proper divisors): 3,480

Factor pairs (a × b = 1,560)

1 × 1560

2 × 780

3 × 520

4 × 390

5 × 312

6 × 260

8 × 195

10 × 156

12 × 130

13 × 120

15 × 104

20 × 78

24 × 65

26 × 60

30 × 52

39 × 40

First multiples

1,560 · 3,120 (double) · 4,680 · 6,240 · 7,800 · 9,360 · 10,920 · 12,480 · 14,040 · 15,600

Sums & aliquot sequence

As consecutive integers: 519 + 520 + 521 310 + 311 + 312 + 313 + 314 114 + 115 + … + 126 97 + 98 + … + 111

Aliquot sequence: 1,560 → 3,480 → 7,320 → 15,000 → 31,860 → 68,940 → 140,724 → 224,396 → 168,304 → 164,760 → 329,880 → 660,120 → 1,320,600 → 2,964,840 → 6,228,120 → 14,300,520 → 32,873,880 — unresolved within range

Continued fraction of √n

√1,560 = [39; (2, 78)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred sixty
Ordinal: 1560th
Roman numeral: MDLX
Binary: 11000011000
Octal: 3030
Hexadecimal: 0x618
Base64: Bhg=
One's complement: 63,975 (16-bit)
Scientific notation: 1.56 × 10³
As a duration: 1,560 s = 26 minutes

In other bases

ternary (3) 2010210

quaternary (4) 120120

quinary (5) 22220

senary (6) 11120

septenary (7) 4356

nonary (9) 2123

undecimal (11) 1199

duodecimal (12) aa0

tridecimal (13) 930

tetradecimal (14) 7d6

pentadecimal (15) 6e0

As an angle

1,560° = 4 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αφξʹ
Mayan (base 20): 𝋣·𝋲·𝋠
Chinese: 一千五百六十
Chinese (financial): 壹仟伍佰陸拾

In other modern scripts

Eastern Arabic ١٥٦٠ Devanagari १५६० Bengali ১৫৬০ Tamil ௧௫௬௦ Thai ๑๕๖๐ Tibetan ༡༥༦༠ Khmer ១៥៦០ Lao ໑໕໖໐ Burmese ၁၅၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,560 = 2
e — Euler's number (e): Digit 1,560 = 4
φ — Golden ratio (φ): Digit 1,560 = 8
√2 — Pythagoras's (√2): Digit 1,560 = 7
ln 2 — Natural log of 2: Digit 1,560 = 3
γ — Euler-Mascheroni (γ): Digit 1,560 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1560, here are decompositions:

7 + 1553 = 1560
11 + 1549 = 1560
17 + 1543 = 1560
29 + 1531 = 1560
37 + 1523 = 1560
61 + 1499 = 1560
67 + 1493 = 1560
71 + 1489 = 1560

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Small Fatha

U+0618

Non-spacing mark (Mn)

UTF-8 encoding: D8 98 (2 bytes).

Lookup U+0618 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000618

RGB(0, 6, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.24.

Address: 0.0.6.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.24

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

Musical pitch

Heard as a frequency, 1,560 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -9¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +29¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -8¢)

Position in π

The digit sequence 1560 first appears in π at position 16,521 of the decimal expansion (the 16,521ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1560 on Pi Search ↗