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Number

1,190

1,190 is a composite number, even, a calendar year.

1,190 (one thousand one hundred ninety) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 17. Its proper divisors sum to 1,402, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXC and in binary, 10010100110.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

Historical context — 1190 AD

Calendar year

Year 1190 (MCXC) was a common year starting on Monday 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
Monday
January 1, 1190
Ended on
Monday
December 31, 1190
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1190s
1190–1199
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
836
836 years before 2026.

In other calendars

Hebrew
4950 / 4951 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
585 / 586 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1733 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
568 / 569 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1182 / 1183 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1112 / 1111 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
911
Flips to (rotate 180°)
611
Recamán's sequence
a(8,608) = 1,190
Square (n²)
1,416,100
Cube (n³)
1,685,159,000
Divisor count
16
σ(n) — sum of divisors
2,592
φ(n) — Euler's totient
384
Sum of prime factors
31

Primality

Prime factorization: 2 × 5 × 7 × 17

Nearest primes: 1,187 (−3) · 1,193 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 17 · 34 · 35 · 70 · 85 · 119 · 170 · 238 · 595 (half) · 1190
Aliquot sum (sum of proper divisors): 1,402
Factor pairs (a × b = 1,190)
1 × 1190
2 × 595
5 × 238
7 × 170
10 × 119
14 × 85
17 × 70
34 × 35
First multiples
1,190 · 2,380 (double) · 3,570 · 4,760 · 5,950 · 7,140 · 8,330 · 9,520 · 10,710 · 11,900

Sums & aliquot sequence

As consecutive integers: 296 + 297 + 298 + 299 236 + 237 + 238 + 239 + 240 167 + 168 + … + 173 62 + 63 + … + 78
Aliquot sequence: 1,190 1,402 704 820 944 916 694 350 394 200 265 59 1 0 — terminates at zero

Continued fraction of √n

√1,190 = [34; (2, 68)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one thousand one hundred ninety
Ordinal
1190th
Roman numeral
MCXC
Binary
10010100110
Octal
2246
Hexadecimal
0x4A6
Base64
BKY=
One's complement
64,345 (16-bit)
Scientific notation
1.19 × 10³
As a duration
1,190 s = 19 minutes, 50 seconds
In other bases
ternary (3) 1122002
quaternary (4) 102212
quinary (5) 14230
senary (6) 5302
septenary (7) 3320
nonary (9) 1562
undecimal (11) 992
duodecimal (12) 832
tridecimal (13) 707
tetradecimal (14) 610
pentadecimal (15) 545
Palindromic in base 13, base 15

As an angle

1,190° = 3 × 360° + 110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αρϟʹ
Mayan (base 20)
𝋢·𝋳·𝋪
Chinese
一千一百九十
Chinese (financial)
壹仟壹佰玖拾
In other modern scripts
Eastern Arabic ١١٩٠ Devanagari ११९० Bengali ১১৯০ Tamil ௧௧௯௦ Thai ๑๑๙๐ Tibetan ༡༡༩༠ Khmer ១១៩០ Lao ໑໑໙໐ Burmese ၁၁၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,190 = 0
e — Euler's number (e)
Digit 1,190 = 4
φ — Golden ratio (φ)
Digit 1,190 = 3
√2 — Pythagoras's (√2)
Digit 1,190 = 9
ln 2 — Natural log of 2
Digit 1,190 = 5
γ — Euler-Mascheroni (γ)
Digit 1,190 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1190, here are decompositions:

  • 3 + 1187 = 1190
  • 19 + 1171 = 1190
  • 37 + 1153 = 1190
  • 61 + 1129 = 1190
  • 67 + 1123 = 1190
  • 73 + 1117 = 1190
  • 97 + 1093 = 1190
  • 103 + 1087 = 1190

Showing the first eight; more decompositions exist.

Unicode codepoint
Ҧ
Cyrillic Capital Letter Pe With Middle Hook
U+04A6
Uppercase letter (Lu)

UTF-8 encoding: D2 A6 (2 bytes).

Hex color
#0004A6
RGB(0, 4, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.166.

Address
0.0.4.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.166

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

Musical pitch

Heard as a frequency, 1,190 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +22¢)
  • Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, -40¢)
  • Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +24¢)
Position in π

The digit sequence 1190 first appears in π at position 5,967 of the decimal expansion (the 5,967ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.