Number

1,360

1,360 is a composite number, even, a calendar year.

1,360 (one thousand three hundred sixty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 17. Its proper divisors sum to 1,988, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCLX and in binary, 10101010000.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,348 1,349 1,350 1,351 1,352 1,353 1,354 1,355 1,356 1,357 1,358 1,359 1,360 1,361 1,362 1,363 1,364 1,365 1,366 1,367 1,368 1,369 1,370 1,371 1,372

less more

Historical context — 1360 AD

Calendar year

Year 1360 (MCCCLX) 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 →

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, 1360
Ended on: Wednesday
December 31, 1360
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1360s
1360–1369
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 666
666 years before 2026.

In other calendars

Hebrew: 5120 / 5121 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 761 / 762 AH
Lunar calendar; year spans differ from Gregorian.
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: 1903 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 738 / 739 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1352 / 1353 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1282 / 1281 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 631
Recamán's sequence: a(456) = 1,360
Square (n²): 1,849,600
Cube (n³): 2,515,456,000
Divisor count: 20
σ(n) — sum of divisors: 3,348
φ(n) — Euler's totient: 512
Sum of prime factors: 30

Primality

Prime factorization: 2 ⁴ × 5 × 17

Nearest primes: 1,327 (−33) · 1,361 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 136 · 170 · 272 · 340 · 680 (half) · 1360

Aliquot sum (sum of proper divisors): 1,988

Factor pairs (a × b = 1,360)

1 × 1360

2 × 680

4 × 340

5 × 272

8 × 170

10 × 136

16 × 85

17 × 80

20 × 68

34 × 40

First multiples

1,360 · 2,720 (double) · 4,080 · 5,440 · 6,800 · 8,160 · 9,520 · 10,880 · 12,240 · 13,600

Sums & aliquot sequence

As a sum of two squares: 8² + 36² = 24² + 28²

As consecutive integers: 270 + 271 + 272 + 273 + 274 72 + 73 + … + 88 27 + 28 + … + 58

Aliquot sequence: 1,360 → 1,988 → 2,044 → 2,100 → 4,844 → 4,900 → 7,469 → 1,939 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,360 = [36; (1, 7, 4, 1, 3, 1, 4, 7, 1, 72)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred sixty
Ordinal: 1360th
Roman numeral: MCCCLX
Binary: 10101010000
Octal: 2520
Hexadecimal: 0x550
Base64: BVA=
One's complement: 64,175 (16-bit)
Scientific notation: 1.36 × 10³
As a duration: 1,360 s = 22 minutes, 40 seconds

In other bases

ternary (3) 1212101

quaternary (4) 111100

quinary (5) 20420

senary (6) 10144

septenary (7) 3652

nonary (9) 1771

undecimal (11) 1027

duodecimal (12) 954

tridecimal (13) 808

tetradecimal (14) 6d2

pentadecimal (15) 60a

Palindromic in base 9, base 13

As an angle

1,360° = 3 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ατξʹ
Mayan (base 20): 𝋣·𝋨·𝋠
Chinese: 一千三百六十
Chinese (financial): 壹仟參佰陸拾

In other modern scripts

Eastern Arabic ١٣٦٠ Devanagari १३६० Bengali ১৩৬০ Tamil ௧௩௬௦ Thai ๑๓๖๐ Tibetan ༡༣༦༠ Khmer ១៣៦០ Lao ໑໓໖໐ Burmese ၁၃၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,360 = 0
e — Euler's number (e): Digit 1,360 = 7
φ — Golden ratio (φ): Digit 1,360 = 8
√2 — Pythagoras's (√2): Digit 1,360 = 3
ln 2 — Natural log of 2: Digit 1,360 = 1
γ — Euler-Mascheroni (γ): Digit 1,360 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1360, here are decompositions:

41 + 1319 = 1360
53 + 1307 = 1360
59 + 1301 = 1360
71 + 1289 = 1360
83 + 1277 = 1360
101 + 1259 = 1360
131 + 1229 = 1360
137 + 1223 = 1360

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Capital Letter Reh

U+0550

Uppercase letter (Lu)

UTF-8 encoding: D5 90 (2 bytes).

Lookup U+0550 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000550

RGB(0, 5, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.80.

Address: 0.0.5.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.80

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

Musical pitch

Heard as a frequency, 1,360 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, -46¢ — about midway to E6)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -9¢)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, -45¢ — about midway to F6)

Position in π

The digit sequence 1360 first appears in π at position 13,346 of the decimal expansion (the 13,346ordinal-suffix:th 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 1360 on Pi Search ↗