Number

1,320

1,320 is a composite number, even, a calendar year.

1,320 (one thousand three hundred twenty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 11. Its proper divisors sum to 3,000, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXX and in binary, 10100101000.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,308 1,309 1,310 1,311 1,312 1,313 1,314 1,315 1,316 1,317 1,318 1,319 1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328 1,329 1,330 1,331 1,332

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Historical context — 1320 AD

Calendar year

Year 1320 (MCCCXX) was a leap year starting on Tuesday 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: Monday
January 1, 1320
Ended on: Tuesday
December 31, 1320
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1320s
1320–1329
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 706
706 years before 2026.

In other calendars

Hebrew: 5080 / 5081 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 719 / 720 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: 1863 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 698 / 699 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1312 / 1313 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1242 / 1241 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 231
Recamán's sequence: a(4,123) = 1,320
Square (n²): 1,742,400
Cube (n³): 2,299,968,000
Divisor count: 32
σ(n) — sum of divisors: 4,320
φ(n) — Euler's totient: 320
Sum of prime factors: 25

Primality

Prime factorization: 2 ³ × 3 × 5 × 11

Nearest primes: 1,319 (−1) · 1,321 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 55 · 60 · 66 · 88 · 110 · 120 · 132 · 165 · 220 · 264 · 330 · 440 · 660 (half) · 1320

Aliquot sum (sum of proper divisors): 3,000

Factor pairs (a × b = 1,320)

1 × 1320

2 × 660

3 × 440

4 × 330

5 × 264

6 × 220

8 × 165

10 × 132

11 × 120

12 × 110

15 × 88

20 × 66

22 × 60

24 × 55

30 × 44

33 × 40

First multiples

1,320 · 2,640 (double) · 3,960 · 5,280 · 6,600 · 7,920 · 9,240 · 10,560 · 11,880 · 13,200

Sums & aliquot sequence

As consecutive integers: 439 + 440 + 441 262 + 263 + 264 + 265 + 266 115 + 116 + … + 125 81 + 82 + … + 95

Aliquot sequence: 1,320 → 3,000 → 6,360 → 13,080 → 26,520 → 64,200 → 136,680 → 303,960 → 668,040 → 1,448,760 → 2,897,880 → 6,778,920 → 14,760,600 → 31,761,720 → 75,003,840 → 189,623,520 → 475,142,400 — unresolved within range

Continued fraction of √n

√1,320 = [36; (3, 72)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred twenty
Ordinal: 1320th
Roman numeral: MCCCXX
Binary: 10100101000
Octal: 2450
Hexadecimal: 0x528
Base64: BSg=
One's complement: 64,215 (16-bit)
Scientific notation: 1.32 × 10³
As a duration: 1,320 s = 22 minutes

In other bases

ternary (3) 1210220

quaternary (4) 110220

quinary (5) 20240

senary (6) 10040

septenary (7) 3564

nonary (9) 1726

undecimal (11) aa0

duodecimal (12) 920

tridecimal (13) 7a7

tetradecimal (14) 6a4

pentadecimal (15) 5d0

Palindromic in base 13

As an angle

1,320° = 3 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ατκʹ
Mayan (base 20): 𝋣·𝋦·𝋠
Chinese: 一千三百二十
Chinese (financial): 壹仟參佰貳拾

In other modern scripts

Eastern Arabic ١٣٢٠ Devanagari १३२० Bengali ১৩২০ Tamil ௧௩௨௦ Thai ๑๓๒๐ Tibetan ༡༣༢༠ Khmer ១៣២០ Lao ໑໓໒໐ Burmese ၁၃၂၀

Digit at this position in famous constants

π — Pi (π): Digit 1,320 = 0
e — Euler's number (e): Digit 1,320 = 9
φ — Golden ratio (φ): Digit 1,320 = 5
√2 — Pythagoras's (√2): Digit 1,320 = 9
ln 2 — Natural log of 2: Digit 1,320 = 4
γ — Euler-Mascheroni (γ): Digit 1,320 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1320, here are decompositions:

13 + 1307 = 1320
17 + 1303 = 1320
19 + 1301 = 1320
23 + 1297 = 1320
29 + 1291 = 1320
31 + 1289 = 1320
37 + 1283 = 1320
41 + 1279 = 1320

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter En With Left Hook

U+0528

Uppercase letter (Lu)

UTF-8 encoding: D4 A8 (2 bytes).

Lookup U+0528 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000528

RGB(0, 5, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.40.

Address: 0.0.5.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.40

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

Musical pitch

Heard as a frequency, 1,320 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +2¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +3¢)

Position in π

The digit sequence 1320 first appears in π at position 598 of the decimal expansion (the 598ordinal-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 1320 on Pi Search ↗