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Number

1,158

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

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

Historical context — 1158 AD

Calendar year

Year 1158 (MCLVIII) was a common year starting on Wednesday of the Julian calendar.

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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

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)
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

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).

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.

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.