Number

1,146

1,146 is a composite number, even, a calendar year.

1,146 (one thousand one hundred forty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 191. Its proper divisors sum to 1,158, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXLVI and in binary, 10001111010.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,134 1,135 1,136 1,137 1,138 1,139 1,140 1,141 1,142 1,143 1,144 1,145 1,146 1,147 1,148 1,149 1,150 1,151 1,152 1,153 1,154 1,155 1,156 1,157 1,158

less more

Historical context — 1146 AD

Calendar year

Year 1146 (MCXLVI) was a common 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: 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: Tuesday
January 1, 1146
Ended on: Tuesday
December 31, 1146
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1140s
1140–1149
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 880
880 years before 2026.

In other calendars

Hebrew: 4906 / 4907 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 540 / 541 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1689 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 524 / 525 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1138 / 1139 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1068 / 1067 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 24
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 6,411
Recamán's sequence: a(1,880) = 1,146
Square (n²): 1,313,316
Cube (n³): 1,505,060,136
Divisor count: 8
σ(n) — sum of divisors: 2,304
φ(n) — Euler's totient: 380
Sum of prime factors: 196

Primality

Prime factorization: 2 × 3 × 191

Nearest primes: 1,129 (−17) · 1,151 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 191 · 382 · 573 (half) · 1146

Aliquot sum (sum of proper divisors): 1,158

Factor pairs (a × b = 1,146)

1 × 1146

2 × 573

3 × 382

6 × 191

First multiples

1,146 · 2,292 (double) · 3,438 · 4,584 · 5,730 · 6,876 · 8,022 · 9,168 · 10,314 · 11,460

Sums & aliquot sequence

As consecutive integers: 381 + 382 + 383 285 + 286 + 287 + 288 90 + 91 + … + 101

Aliquot sequence: 1,146 → 1,158 → 1,170 → 2,106 → 2,976 → 5,088 → 8,520 → 17,400 → 38,400 → 88,452 → 196,924 → 228,004 → 255,836 → 255,892 → 339,948 → 708,372 → 1,392,748 — unresolved within range

Continued fraction of √n

√1,146 = [33; (1, 5, 1, 3, 1, 1, 1, 10, 1, 1, 1, 3, 1, 5, 1, 66)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred forty-six
Ordinal: 1146th
Roman numeral: MCXLVI
Binary: 10001111010
Octal: 2172
Hexadecimal: 0x47A
Base64: BHo=
One's complement: 64,389 (16-bit)
Scientific notation: 1.146 × 10³
As a duration: 1,146 s = 19 minutes, 6 seconds

In other bases

ternary (3) 1120110

quaternary (4) 101322

quinary (5) 14041

senary (6) 5150

septenary (7) 3225

nonary (9) 1513

undecimal (11) 952

duodecimal (12) 7b6

tridecimal (13) 6a2

tetradecimal (14) 5bc

pentadecimal (15) 516

Palindromic in base 5

As an angle

1,146° = 3 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρμϛʹ
Mayan (base 20): 𝋢·𝋱·𝋦
Chinese: 一千一百四十六
Chinese (financial): 壹仟壹佰肆拾陸

In other modern scripts

Eastern Arabic ١١٤٦ Devanagari ११४६ Bengali ১১৪৬ Tamil ௧௧௪௬ Thai ๑๑๔๖ Tibetan ༡༡༤༦ Khmer ១១៤៦ Lao ໑໑໔໖ Burmese ၁၁၄၆

Digit at this position in famous constants

π — Pi (π): Digit 1,146 = 7
e — Euler's number (e): Digit 1,146 = 9
φ — Golden ratio (φ): Digit 1,146 = 6
√2 — Pythagoras's (√2): Digit 1,146 = 1
ln 2 — Natural log of 2: Digit 1,146 = 9
γ — Euler-Mascheroni (γ): Digit 1,146 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1146, here are decompositions:

17 + 1129 = 1146
23 + 1123 = 1146
29 + 1117 = 1146
37 + 1109 = 1146
43 + 1103 = 1146
53 + 1093 = 1146
59 + 1087 = 1146
83 + 1063 = 1146

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Round Omega

U+047A

Uppercase letter (Lu)

UTF-8 encoding: D1 BA (2 bytes).

Lookup U+047A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00047A

RGB(0, 4, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.122.

Address: 0.0.4.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.122

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

Musical pitch

Heard as a frequency, 1,146 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -43¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -5¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -41¢)

Position in π

The digit sequence 1146 first appears in π at position 4,678 of the decimal expansion (the 4,678ordinal-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 1146 on Pi Search ↗