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Number

115

115 is a composite number, odd, a calendar year.

115 (one hundred fifteen) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 5 × 23. Written other ways, in Roman numerals it is CXV and in binary, 1110011.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year Zuckerman Number

Interestingness

6 notable facts · grade B
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Historical context — 115 AD

Calendar year

Year 115 (CXV) 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 →

Historical context — 115 BC

Calendar year

Year 115 BC was a year of the pre-Julian Roman 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, 115
Ended on
Tuesday
December 31, 115
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
110s
110–119
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,911
1911 years before 2026.

In other calendars

Hebrew
3875 / 3876 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Rabbit
Sexagenary cycle position 52 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
658 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
107 / 108 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
37 / 36 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
7
Digit product
5
Digital root
7
Palindrome
No
Bit width
7 bits
Reversed
511
Recamán's sequence
a(170) = 115
Square (n²)
13,225
Cube (n³)
1,520,875
Divisor count
4
σ(n) — sum of divisors
144
φ(n) — Euler's totient
88
Sum of prime factors
28

Primality

Prime factorization: 5 × 23

Nearest primes: 113 (−2) · 127 (+12)

Divisors & multiples

All divisors (4)
1 · 5 · 23 · 115
Aliquot sum (sum of proper divisors): 29
Factor pairs (a × b = 115)
1 × 115
5 × 23
First multiples
115 · 230 (double) · 345 · 460 · 575 · 690 · 805 · 920 · 1,035 · 1,150

Sums & aliquot sequence

As consecutive integers: 57 + 58 21 + 22 + 23 + 24 + 25 7 + 8 + … + 16
Aliquot sequence: 115 29 1 0 — terminates at zero

Continued fraction of √n

√115 = [10; (1, 2, 1, 1, 1, 1, 1, 2, 1, 20)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen
Ordinal
115th
Roman numeral
CXV
Binary
1110011
Octal
163
Hexadecimal
0x73
Base64
cw==
One's complement
140 (8-bit)
Scientific notation
1.15 × 10²
As a duration
115 s = 1 minute, 55 seconds
In other bases
ternary (3) 11021
quaternary (4) 1303
quinary (5) 430
senary (6) 311
septenary (7) 223
nonary (9) 137
undecimal (11) a5
duodecimal (12) 97
tridecimal (13) 8b
tetradecimal (14) 83
pentadecimal (15) 7a

As an angle

115°
115° ≈ 2.007 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ριεʹ
Mayan (base 20)
𝋥·𝋯
Chinese
一百一十五
Chinese (financial)
壹佰壹拾伍
In other modern scripts
Eastern Arabic ١١٥ Devanagari ११५ Bengali ১১৫ Tamil ௧௧௫ Thai ๑๑๕ Tibetan ༡༡༥ Khmer ១១៥ Lao ໑໑໕ Burmese ၁၁၅

Digit at this position in famous constants

π — Pi (π)
Digit 115 = 2
e — Euler's number (e)
Digit 115 = 3
φ — Golden ratio (φ)
Digit 115 = 6
√2 — Pythagoras's (√2)
Digit 115 = 2
ln 2 — Natural log of 2
Digit 115 = 0
γ — Euler-Mascheroni (γ)
Digit 115 = 7

Also seen as

ASCII character

As an ASCII codepoint, 115 is s. Printable ASCII character s.

Hex color
#000073
RGB(0, 0, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.115.

Address
0.0.0.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.115

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

Musical pitch

Heard as a frequency, 115 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯2 (116.5 Hz, -23¢)
  • Scientific pitch (C4 = 256 Hz): A♯2 (114 Hz, +15¢)
  • Baroque pitch (A4 = 415 Hz): B2 (116.5 Hz, -22¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 115 is G8 (6271.9 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 115 is Moscovium (Mc) — period 7.

Related reading