Number

1,115

1,115 is a composite number, odd, a calendar year.

1,115 (one thousand one hundred fifteen) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 5 × 223. Written other ways, in Roman numerals it is MCXV and in binary, 10001011011.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Semiprime Squarefree Year Zuckerman Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,103 1,104 1,105 1,106 1,107 1,108 1,109 1,110 1,111 1,112 1,113 1,114 1,115 1,116 1,117 1,118 1,119 1,120 1,121 1,122 1,123 1,124 1,125 1,126 1,127

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Historical context — 1115 AD

Calendar year

Year 1115 (MCXV) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Friday
January 1, 1115
Ended on: Friday
December 31, 1115
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1110s
1110–1119
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 911
911 years before 2026.

In other calendars

Hebrew: 4875 / 4876 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 508 / 509 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Goat
Sexagenary cycle position 32 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1658 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 493 / 494 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1107 / 1108 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1037 / 1036 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 5
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 5,111
Recamán's sequence: a(1,942) = 1,115
Square (n²): 1,243,225
Cube (n³): 1,386,195,875
Divisor count: 4
σ(n) — sum of divisors: 1,344
φ(n) — Euler's totient: 888
Sum of prime factors: 228

Primality

Prime factorization: 5 × 223

Nearest primes: 1,109 (−6) · 1,117 (+2)

Divisors & multiples

All divisors (4)

1 · 5 · 223 · 1115

Aliquot sum (sum of proper divisors): 229

Factor pairs (a × b = 1,115)

1 × 1115

5 × 223

First multiples

1,115 · 2,230 (double) · 3,345 · 4,460 · 5,575 · 6,690 · 7,805 · 8,920 · 10,035 · 11,150

Sums & aliquot sequence

As consecutive integers: 557 + 558 221 + 222 + 223 + 224 + 225 107 + 108 + … + 116

Aliquot sequence: 1,115 → 229 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,115 = [33; (2, 1, 1, 4, 5, 1, 5, 1, 5, 4, 1, 1, 2, 66)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred fifteen
Ordinal: 1115th
Roman numeral: MCXV
Binary: 10001011011
Octal: 2133
Hexadecimal: 0x45B
Base64: BFs=
One's complement: 64,420 (16-bit)
Scientific notation: 1.115 × 10³
As a duration: 1,115 s = 18 minutes, 35 seconds

In other bases

ternary (3) 1112022

quaternary (4) 101123

quinary (5) 13430

senary (6) 5055

septenary (7) 3152

nonary (9) 1468

undecimal (11) 924

duodecimal (12) 78b

tridecimal (13) 67a

tetradecimal (14) 599

pentadecimal (15) 4e5

As an angle

1,115° = 3 × 360° + 35°

35° ≈ 0.611 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αριεʹ
Mayan (base 20): 𝋢·𝋯·𝋯
Chinese: 一千一百一十五
Chinese (financial): 壹仟壹佰壹拾伍

In other modern scripts

Eastern Arabic ١١١٥ Devanagari १११५ Bengali ১১১৫ Tamil ௧௧௧௫ Thai ๑๑๑๕ Tibetan ༡༡༡༥ Khmer ១១១៥ Lao ໑໑໑໕ Burmese ၁၁၁၅

Digit at this position in famous constants

π — Pi (π): Digit 1,115 = 1
e — Euler's number (e): Digit 1,115 = 7
φ — Golden ratio (φ): Digit 1,115 = 4
√2 — Pythagoras's (√2): Digit 1,115 = 0
ln 2 — Natural log of 2: Digit 1,115 = 0
γ — Euler-Mascheroni (γ): Digit 1,115 = 9

Also seen as

Unicode codepoint

Cyrillic Small Letter Tshe

U+045B

Lowercase letter (Ll)

UTF-8 encoding: D1 9B (2 bytes).

Lookup U+045B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00045B

RGB(0, 4, 91)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.91.

Address: 0.0.4.91
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.91

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

Musical pitch

Heard as a frequency, 1,115 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +47¢ — about midway to D6)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +11¢)

Position in π

The digit sequence 1115 first appears in π at position 27,053 of the decimal expansion (the 27,053ordinal-suffix:rd 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 1115 on Pi Search ↗