Number

1,260

1,260 is a composite number, even, a calendar year.

1,260 (one thousand two hundred sixty) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 7. Its proper divisors sum to 3,108, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCLX and in binary, 10011101100.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Highly Abundant Highly Composite Number Practical Number Pronic / Oblong Recamán's Sequence Refactorable Number Semiperfect Number Vampire Number Year

Interestingness

★ ★ ★ ★ ★

11 notable facts · grade A

1,248 1,249 1,250 1,251 1,252 1,253 1,254 1,255 1,256 1,257 1,258 1,259 1,260 1,261 1,262 1,263 1,264 1,265 1,266 1,267 1,268 1,269 1,270 1,271 1,272

less more

Historical context — 1260 AD

Calendar year

Year 1260 (MCCLX) was a leap year starting on Thursday 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1260
Ended on: Friday
December 31, 1260
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1260s
1260–1269
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 766
766 years before 2026.

In other calendars

Hebrew: 5020 / 5021 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 658 / 659 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: 1803 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 638 / 639 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1252 / 1253 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1182 / 1181 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 621
Recamán's sequence: a(8,468) = 1,260
Square (n²): 1,587,600
Cube (n³): 2,000,376,000
Divisor count: 36
σ(n) — sum of divisors: 4,368
φ(n) — Euler's totient: 288
Sum of prime factors: 22

Primality

Prime factorization: 2 ² × 3 ² × 5 × 7

Nearest primes: 1,259 (−1) · 1,277 (+17)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 60 · 63 · 70 · 84 · 90 · 105 · 126 · 140 · 180 · 210 · 252 · 315 · 420 · 630 (half) · 1260

Aliquot sum (sum of proper divisors): 3,108

Factor pairs (a × b = 1,260)

1 × 1260

2 × 630

3 × 420

4 × 315

5 × 252

6 × 210

7 × 180

9 × 140

10 × 126

12 × 105

14 × 90

15 × 84

18 × 70

20 × 63

21 × 60

28 × 45

30 × 42

35 × 36

First multiples

1,260 · 2,520 (double) · 3,780 · 5,040 · 6,300 · 7,560 · 8,820 · 10,080 · 11,340 · 12,600

Sums & aliquot sequence

As consecutive integers: 419 + 420 + 421 250 + 251 + 252 + 253 + 254 177 + 178 + … + 183 154 + 155 + … + 161

Aliquot sequence: 1,260 → 3,108 → 5,404 → 5,460 → 13,356 → 25,956 → 49,756 → 49,812 → 83,244 → 138,964 → 144,326 → 127,978 → 67,322 → 36,250 → 34,040 → 48,040 → 60,140 — unresolved within range

Continued fraction of √n

√1,260 = [35; (2, 70)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred sixty
Ordinal: 1260th
Roman numeral: MCCLX
Binary: 10011101100
Octal: 2354
Hexadecimal: 0x4EC
Base64: BOw=
One's complement: 64,275 (16-bit)
Scientific notation: 1.26 × 10³
As a duration: 1,260 s = 21 minutes

In other bases

ternary (3) 1201200

quaternary (4) 103230

quinary (5) 20020

senary (6) 5500

septenary (7) 3450

nonary (9) 1650

undecimal (11) a46

duodecimal (12) 890

tridecimal (13) 75c

tetradecimal (14) 660

pentadecimal (15) 590

As an angle

1,260° = 3 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ασξʹ
Mayan (base 20): 𝋣·𝋣·𝋠
Chinese: 一千二百六十
Chinese (financial): 壹仟貳佰陸拾

In other modern scripts

Eastern Arabic ١٢٦٠ Devanagari १२६० Bengali ১২৬০ Tamil ௧௨௬௦ Thai ๑๒๖๐ Tibetan ༡༢༦༠ Khmer ១២៦០ Lao ໑໒໖໐ Burmese ၁၂၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,260 = 7
e — Euler's number (e): Digit 1,260 = 8
φ — Golden ratio (φ): Digit 1,260 = 0
√2 — Pythagoras's (√2): Digit 1,260 = 0
ln 2 — Natural log of 2: Digit 1,260 = 6
γ — Euler-Mascheroni (γ): Digit 1,260 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1260, here are decompositions:

11 + 1249 = 1260
23 + 1237 = 1260
29 + 1231 = 1260
31 + 1229 = 1260
37 + 1223 = 1260
43 + 1217 = 1260
47 + 1213 = 1260
59 + 1201 = 1260

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter E With Diaeresis

U+04EC

Uppercase letter (Lu)

UTF-8 encoding: D3 AC (2 bytes).

Lookup U+04EC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004EC

RGB(0, 4, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.236.

Address: 0.0.4.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.236

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

Musical pitch

Heard as a frequency, 1,260 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +23¢)

Position in π

The digit sequence 1260 first appears in π at position 20,242 of the decimal expansion (the 20,242ordinal-suffix:nd 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 1260 on Pi Search ↗