Number

1,158

1,158 is a composite number, even, a calendar year.

1,158 (one thousand one hundred fifty-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 193. Its proper divisors sum to 1,170, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLVIII and in binary, 10010000110.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 1,161 1,162 1,163 1,164 1,165 1,166 1,167 1,168 1,169 1,170

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Historical context — 1158 AD

Calendar year

Year 1158 (MCLVIII) was a common year starting on Wednesday 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: Wednesday
January 1, 1158
Ended on: Wednesday
December 31, 1158
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1150s
1150–1159
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 868
868 years before 2026.

In other calendars

Hebrew: 4918 / 4919 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 552 / 553 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1701 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 536 / 537 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1150 / 1151 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1080 / 1079 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 40
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 8,511
Recamán's sequence: a(1,856) = 1,158
Square (n²): 1,340,964
Cube (n³): 1,552,836,312
Divisor count: 8
σ(n) — sum of divisors: 2,328
φ(n) — Euler's totient: 384
Sum of prime factors: 198

Primality

Prime factorization: 2 × 3 × 193

Nearest primes: 1,153 (−5) · 1,163 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 193 · 386 · 579 (half) · 1158

Aliquot sum (sum of proper divisors): 1,170

Factor pairs (a × b = 1,158)

1 × 1158

2 × 579

3 × 386

6 × 193

First multiples

1,158 · 2,316 (double) · 3,474 · 4,632 · 5,790 · 6,948 · 8,106 · 9,264 · 10,422 · 11,580

Sums & aliquot sequence

As consecutive integers: 385 + 386 + 387 288 + 289 + 290 + 291 91 + 92 + … + 102

Aliquot sequence: 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 → 1,392,804 — unresolved within range

Continued fraction of √n

√1,158 = [34; (34, 68)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred fifty-eight
Ordinal: 1158th
Roman numeral: MCLVIII
Binary: 10010000110
Octal: 2206
Hexadecimal: 0x486
Base64: BIY=
One's complement: 64,377 (16-bit)
Scientific notation: 1.158 × 10³
As a duration: 1,158 s = 19 minutes, 18 seconds

In other bases

ternary (3) 1120220

quaternary (4) 102012

quinary (5) 14113

senary (6) 5210

septenary (7) 3243

nonary (9) 1526

undecimal (11) 963

duodecimal (12) 806

tridecimal (13) 6b1

tetradecimal (14) 5ca

pentadecimal (15) 523

As an angle

1,158° = 3 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρνηʹ
Mayan (base 20): 𝋢·𝋱·𝋲
Chinese: 一千一百五十八
Chinese (financial): 壹仟壹佰伍拾捌

In other modern scripts

Eastern Arabic ١١٥٨ Devanagari ११५८ Bengali ১১৫৮ Tamil ௧௧௫௮ Thai ๑๑๕๘ Tibetan ༡༡༥༨ Khmer ១១៥៨ Lao ໑໑໕໘ Burmese ၁၁၅၈

Digit at this position in famous constants

π — Pi (π): Digit 1,158 = 3
e — Euler's number (e): Digit 1,158 = 3
φ — Golden ratio (φ): Digit 1,158 = 5
√2 — Pythagoras's (√2): Digit 1,158 = 3
ln 2 — Natural log of 2: Digit 1,158 = 7
γ — Euler-Mascheroni (γ): Digit 1,158 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1158, here are decompositions:

5 + 1153 = 1158
7 + 1151 = 1158
29 + 1129 = 1158
41 + 1117 = 1158
61 + 1097 = 1158
67 + 1091 = 1158
71 + 1087 = 1158
89 + 1069 = 1158

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Cyrillic Psili Pneumata

U+0486

Non-spacing mark (Mn)

UTF-8 encoding: D2 86 (2 bytes).

Lookup U+0486 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000486

RGB(0, 4, 134)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.134.

Address: 0.0.4.134
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.134

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

Musical pitch

Heard as a frequency, 1,158 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -25¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -23¢)

Position in π

The digit sequence 1158 first appears in π at position 36,288 of the decimal expansion (the 36,288ordinal-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 1158 on Pi Search ↗