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Number

870

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

Abundant Number Arithmetic Number Descending Digits Evil Number Harshad / Niven Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 870 AD

Calendar year

Year 870 (DCCCLXX) was a common year starting on Sunday of the Julian calendar, the 870th year of the Common Era (CE) and Anno Domini (AD) designations, the 870th year of the 1st millennium, the 70th year of the 9th century, and the 1st year of the 870s decade.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 870 BC

Decade

This article concerns the period 879 BC – 870 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 870
Ended on
Wednesday
December 31, 870
Friday the 13ths
1
One Friday the 13th this year.
Decade
870s
870–879
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,156
1156 years before 2026.

In other calendars

Hebrew
4630 / 4631 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
256 / 257 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1413 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
248 / 249 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
862 / 863 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
792 / 791 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
10 bits
Reversed
78
Recamán's sequence
a(791) = 870
Square (n²)
756,900
Cube (n³)
658,503,000
Divisor count
16
σ(n) — sum of divisors
2,160
φ(n) — Euler's totient
224
Sum of prime factors
39

Primality

Prime factorization: 2 × 3 × 5 × 29

Nearest primes: 863 (−7) · 877 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 29 · 30 · 58 · 87 · 145 · 174 · 290 · 435 (half) · 870
Aliquot sum (sum of proper divisors): 1,290
Factor pairs (a × b = 870)
1 × 870
2 × 435
3 × 290
5 × 174
6 × 145
10 × 87
15 × 58
29 × 30
First multiples
870 · 1,740 (double) · 2,610 · 3,480 · 4,350 · 5,220 · 6,090 · 6,960 · 7,830 · 8,700

Sums & aliquot sequence

As consecutive integers: 289 + 290 + 291 216 + 217 + 218 + 219 172 + 173 + 174 + 175 + 176 67 + 68 + … + 78
Aliquot sequence: 870 1,290 1,878 1,890 3,870 6,426 10,854 13,830 19,434 20,886 21,606 25,098 26,742 26,754 40,446 63,234 77,406 — unresolved within range

Representations

In words
eight hundred seventy
Ordinal
870th
Roman numeral
DCCCLXX
Binary
1101100110
Octal
1546
Hexadecimal
0x366
Base64
A2Y=
One's complement
64,665 (16-bit)
In other bases
ternary (3) 1012020
quaternary (4) 31212
quinary (5) 11440
senary (6) 4010
septenary (7) 2352
nonary (9) 1166
undecimal (11) 721
duodecimal (12) 606
tridecimal (13) 51c
tetradecimal (14) 462
pentadecimal (15) 3d0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
ωοʹ
Mayan (base 20)
𝋢·𝋣·𝋪
Chinese
八百七十
Chinese (financial)
捌佰柒拾
In other modern scripts
Eastern Arabic ٨٧٠ Devanagari ८७० Bengali ৮৭০ Tamil ௮௭௦ Thai ๘๗๐ Tibetan ༨༧༠ Khmer ៨៧០ Lao ໘໗໐ Burmese ၈၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 870 = 8
e — Euler's number (e)
Digit 870 = 4
φ — Golden ratio (φ)
Digit 870 = 5
√2 — Pythagoras's (√2)
Digit 870 = 2
ln 2 — Natural log of 2
Digit 870 = 9
γ — Euler-Mascheroni (γ)
Digit 870 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 870, here are decompositions:

  • 7 + 863 = 870
  • 11 + 859 = 870
  • 13 + 857 = 870
  • 17 + 853 = 870
  • 31 + 839 = 870
  • 41 + 829 = 870
  • 43 + 827 = 870
  • 47 + 823 = 870

Showing the first eight; more decompositions exist.

Unicode codepoint
ͦ
Combining Latin Small Letter O
U+0366
Non-spacing mark (Mn)

UTF-8 encoding: CD A6 (2 bytes).

Hex color
#000366
RGB(0, 3, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.102.

Address
0.0.3.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.102

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

NANP area code 870

The number 870 is an active NANP area code (North American Numbering Plan).

Primary area
Eastern Arkansas / Jonesboro
Region
Arkansas
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.