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Number

1,360

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

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

Historical context — 1360 AD

Calendar year

Year 1360 (MCCCLX) was a leap year starting on Wednesday of the Julian calendar.

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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

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)
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

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
Ր
Armenian Capital Letter Reh
U+0550
Uppercase letter (Lu)

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

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.

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.