Number

1,148

1,148 is a composite number, even, a calendar year.

1,148 (one thousand one hundred forty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 41. Its proper divisors sum to 1,204, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXLVIII and in binary, 10001111100.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 1,159 1,160

less more

Historical context — 1148 AD

Calendar year

Year 1148 (MCXLVIII) 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, 1148
Ended on: Friday
December 31, 1148
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: 878
878 years before 2026.

In other calendars

Hebrew: 4908 / 4909 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 542 / 543 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1691 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 526 / 527 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1140 / 1141 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1070 / 1069 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 32
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 8,411
Recamán's sequence: a(1,876) = 1,148
Square (n²): 1,317,904
Cube (n³): 1,512,953,792
Divisor count: 12
σ(n) — sum of divisors: 2,352
φ(n) — Euler's totient: 480
Sum of prime factors: 52

Primality

Prime factorization: 2 ² × 7 × 41

Nearest primes: 1,129 (−19) · 1,151 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 41 · 82 · 164 · 287 · 574 (half) · 1148

Aliquot sum (sum of proper divisors): 1,204

Factor pairs (a × b = 1,148)

1 × 1148

2 × 574

4 × 287

7 × 164

14 × 82

28 × 41

First multiples

1,148 · 2,296 (double) · 3,444 · 4,592 · 5,740 · 6,888 · 8,036 · 9,184 · 10,332 · 11,480

Sums & aliquot sequence

As consecutive integers: 161 + 162 + … + 167 140 + 141 + … + 147 8 + 9 + … + 48

Aliquot sequence: 1,148 → 1,204 → 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 — unresolved within range

Continued fraction of √n

√1,148 = [33; (1, 7, 2, 16, 2, 7, 1, 66)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred forty-eight
Ordinal: 1148th
Roman numeral: MCXLVIII
Binary: 10001111100
Octal: 2174
Hexadecimal: 0x47C
Base64: BHw=
One's complement: 64,387 (16-bit)
Scientific notation: 1.148 × 10³
As a duration: 1,148 s = 19 minutes, 8 seconds

In other bases

ternary (3) 1120112

quaternary (4) 101330

quinary (5) 14043

senary (6) 5152

septenary (7) 3230

nonary (9) 1515

undecimal (11) 954

duodecimal (12) 7b8

tridecimal (13) 6a4

tetradecimal (14) 5c0

pentadecimal (15) 518

As an angle

1,148° = 3 × 360° + 68°

68° ≈ 1.187 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρμηʹ
Mayan (base 20): 𝋢·𝋱·𝋨
Chinese: 一千一百四十八
Chinese (financial): 壹仟壹佰肆拾捌

In other modern scripts

Eastern Arabic ١١٤٨ Devanagari ११४८ Bengali ১১৪৮ Tamil ௧௧௪௮ Thai ๑๑๔๘ Tibetan ༡༡༤༨ Khmer ១១៤៨ Lao ໑໑໔໘ Burmese ၁၁၄၈

Digit at this position in famous constants

π — Pi (π): Digit 1,148 = 0
e — Euler's number (e): Digit 1,148 = 1
φ — Golden ratio (φ): Digit 1,148 = 1
√2 — Pythagoras's (√2): Digit 1,148 = 3
ln 2 — Natural log of 2: Digit 1,148 = 0
γ — Euler-Mascheroni (γ): Digit 1,148 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1148, here are decompositions:

19 + 1129 = 1148
31 + 1117 = 1148
61 + 1087 = 1148
79 + 1069 = 1148
97 + 1051 = 1148
109 + 1039 = 1148
127 + 1021 = 1148
139 + 1009 = 1148

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Omega With Titlo

U+047C

Uppercase letter (Lu)

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

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

Hex color

#00047C

RGB(0, 4, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.124.

Address: 0.0.4.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.124

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

Musical pitch

Heard as a frequency, 1,148 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -40¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -2¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -38¢)

Position in π

The digit sequence 1148 first appears in π at position 15,707 of the decimal expansion (the 15,707ordinal-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 1148 on Pi Search ↗