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Number

1,380

1,380 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1380 AD

Calendar year

Year 1380 (MCCCLXXX) was a leap year starting on Sunday of the Julian 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, 1380
Ended on
Sunday
December 31, 1380
Friday the 13ths
1
One Friday the 13th this year.
Decade
1380s
1380–1389
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
646
646 years before 2026.

In other calendars

Hebrew
5140 / 5141 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
781 / 782 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
1923 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
758 / 759 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1372 / 1373 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1302 / 1301 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
831
Recamán's sequence
a(8,368) = 1,380
Square (n²)
1,904,400
Cube (n³)
2,628,072,000
Divisor count
24
σ(n) — sum of divisors
4,032
φ(n) — Euler's totient
352
Sum of prime factors
35

Primality

Prime factorization: 2 2 × 3 × 5 × 23

Nearest primes: 1,373 (−7) · 1,381 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 23 · 30 · 46 · 60 · 69 · 92 · 115 · 138 · 230 · 276 · 345 · 460 · 690 (half) · 1380
Aliquot sum (sum of proper divisors): 2,652
Factor pairs (a × b = 1,380)
1 × 1380
2 × 690
3 × 460
4 × 345
5 × 276
6 × 230
10 × 138
12 × 115
15 × 92
20 × 69
23 × 60
30 × 46
First multiples
1,380 · 2,760 (double) · 4,140 · 5,520 · 6,900 · 8,280 · 9,660 · 11,040 · 12,420 · 13,800

Sums & aliquot sequence

As consecutive integers: 459 + 460 + 461 274 + 275 + 276 + 277 + 278 169 + 170 + … + 176 85 + 86 + … + 99
Aliquot sequence: 1,380 2,652 4,404 5,900 7,120 9,620 12,724 9,550 8,306 4,156 3,124 2,924 2,620 2,924 — enters a cycle

Representations

In words
one thousand three hundred eighty
Ordinal
1380th
Roman numeral
MCCCLXXX
Binary
10101100100
Octal
2544
Hexadecimal
0x564
Base64
BWQ=
One's complement
64,155 (16-bit)
In other bases
ternary (3) 1220010
quaternary (4) 111210
quinary (5) 21010
senary (6) 10220
septenary (7) 4011
nonary (9) 1803
undecimal (11) 1045
duodecimal (12) 970
tridecimal (13) 822
tetradecimal (14) 708
pentadecimal (15) 620

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ατπʹ
Mayan (base 20)
𝋣·𝋩·𝋠
Chinese
一千三百八十
Chinese (financial)
壹仟參佰捌拾
In other modern scripts
Eastern Arabic ١٣٨٠ Devanagari १३८० Bengali ১৩৮০ Tamil ௧௩௮௦ Thai ๑๓๘๐ Tibetan ༡༣༨༠ Khmer ១៣៨០ Lao ໑໓໘໐ Burmese ၁၃၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,380 = 6
e — Euler's number (e)
Digit 1,380 = 6
φ — Golden ratio (φ)
Digit 1,380 = 4
√2 — Pythagoras's (√2)
Digit 1,380 = 6
ln 2 — Natural log of 2
Digit 1,380 = 2
γ — Euler-Mascheroni (γ)
Digit 1,380 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1380, here are decompositions:

  • 7 + 1373 = 1380
  • 13 + 1367 = 1380
  • 19 + 1361 = 1380
  • 53 + 1327 = 1380
  • 59 + 1321 = 1380
  • 61 + 1319 = 1380
  • 73 + 1307 = 1380
  • 79 + 1301 = 1380

Showing the first eight; more decompositions exist.

Unicode codepoint
դ
Armenian Small Letter Da
U+0564
Lowercase letter (Ll)

UTF-8 encoding: D5 A4 (2 bytes).

Hex color
#000564
RGB(0, 5, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.100.

Address
0.0.5.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.100

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

Position in π

The digit sequence 1380 first appears in π at position 11,977 of the decimal expansion (the 11,977ordinal-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.