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Number

860

860 is a composite number, even, a calendar year.

860 (eight hundred sixty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 43. Its proper divisors sum to 988, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCLX and in binary, 1101011100.

Abundant Number Arithmetic Number Cube-Free Descending Digits Evil Number Flippable Happy Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

8 notable facts · grade A
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Historical context — 860 AD

Calendar year

Year 860 (DCCCLX) was a leap 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 — 860 BC

Decade

This article concerns the period 869 BC – 860 BC.

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, 860
Ended on
Friday
December 31, 860
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
860s
860–869
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,166
1166 years before 2026.

In other calendars

Hebrew
4620 / 4621 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
245 / 246 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1403 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
238 / 239 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
852 / 853 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
782 / 781 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
68
Flips to (rotate 180°)
98
Recamán's sequence
a(811) = 860
Square (n²)
739,600
Cube (n³)
636,056,000
Divisor count
12
σ(n) — sum of divisors
1,848
φ(n) — Euler's totient
336
Sum of prime factors
52

Primality

Prime factorization: 2 2 × 5 × 43

Nearest primes: 859 (−1) · 863 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 43 · 86 · 172 · 215 · 430 (half) · 860
Aliquot sum (sum of proper divisors): 988
Factor pairs (a × b = 860)
1 × 860
2 × 430
4 × 215
5 × 172
10 × 86
20 × 43
First multiples
860 · 1,720 (double) · 2,580 · 3,440 · 4,300 · 5,160 · 6,020 · 6,880 · 7,740 · 8,600

Sums & aliquot sequence

As consecutive integers: 170 + 171 + 172 + 173 + 174 104 + 105 + … + 111 2 + 3 + … + 41
Aliquot sequence: 860 988 972 1,576 1,394 874 566 286 218 112 136 134 70 74 40 50 43 — unresolved within range

Continued fraction of √n

√860 = [29; (3, 14, 3, 58)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
eight hundred sixty
Ordinal
860th
Roman numeral
DCCCLX
Binary
1101011100
Octal
1534
Hexadecimal
0x35C
Base64
A1w=
One's complement
64,675 (16-bit)
Scientific notation
8.6 × 10²
As a duration
860 s = 14 minutes, 20 seconds
In other bases
ternary (3) 1011212
quaternary (4) 31130
quinary (5) 11420
senary (6) 3552
septenary (7) 2336
nonary (9) 1155
undecimal (11) 712
duodecimal (12) 5b8
tridecimal (13) 512
tetradecimal (14) 456
pentadecimal (15) 3c5

As an angle

860° = 2 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
ωξʹ
Mayan (base 20)
𝋢·𝋣·𝋠
Chinese
八百六十
Chinese (financial)
捌佰陸拾
In other modern scripts
Eastern Arabic ٨٦٠ Devanagari ८६० Bengali ৮৬০ Tamil ௮௬௦ Thai ๘๖๐ Tibetan ༨༦༠ Khmer ៨៦០ Lao ໘໖໐ Burmese ၈၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 860 = 1
e — Euler's number (e)
Digit 860 = 0
φ — Golden ratio (φ)
Digit 860 = 4
√2 — Pythagoras's (√2)
Digit 860 = 2
ln 2 — Natural log of 2
Digit 860 = 1
γ — Euler-Mascheroni (γ)
Digit 860 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 860, here are decompositions:

  • 3 + 857 = 860
  • 7 + 853 = 860
  • 31 + 829 = 860
  • 37 + 823 = 860
  • 73 + 787 = 860
  • 103 + 757 = 860
  • 109 + 751 = 860
  • 127 + 733 = 860

Showing the first eight; more decompositions exist.

Unicode codepoint
͜
Combining Double Breve Below
U+035C
Non-spacing mark (Mn)

UTF-8 encoding: CD 9C (2 bytes).

Code page identifier

Code page 860 is DOS Portuguese — DOS code page for Portuguese.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Hex color
#00035C
RGB(0, 3, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.92.

Address
0.0.3.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.92

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

NANP area code 860

The number 860 is an active NANP area code (North American Numbering Plan).

Primary area
Hartford / New London
Region
Connecticut
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Musical pitch

Heard as a frequency, 860 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A5 (880 Hz, -40¢)
  • Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, -2¢)
  • Baroque pitch (A4 = 415 Hz): A♯5 (879.4 Hz, -39¢)

Related reading

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