Number

980

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

980 (nine hundred eighty) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 5 × 7². Its proper divisors sum to 1,414, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMLXXX and in binary, 1111010100.

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

Interestingness

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7 notable facts · grade B

968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992

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Historical context — 980 AD

Calendar year

Year 980 (CMLXXX) was a leap year starting on Thursday of the Julian calendar.

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

Historical context — 980 BC

Decade

The 980s BC is a decade that lasted from 989 BC to 980 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: 52
Started on: Saturday
January 1, 980
Ended on: Sunday
December 31, 980
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 980s
980–989
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,046
1046 years before 2026.

In other calendars

Hebrew: 4740 / 4741 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 369 / 370 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: 1523 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 358 / 359 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 972 / 973 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 902 / 901 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 89
Flips to (rotate 180°): 86
Recamán's sequence: a(4,459) = 980
Square (n²): 960,400
Cube (n³): 941,192,000
Divisor count: 18
σ(n) — sum of divisors: 2,394
φ(n) — Euler's totient: 336
Sum of prime factors: 23

Primality

Prime factorization: 2 ² × 5 × 7 ²

Nearest primes: 977 (−3) · 983 (+3)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 49 · 70 · 98 · 140 · 196 · 245 · 490 (half) · 980

Aliquot sum (sum of proper divisors): 1,414

Factor pairs (a × b = 980)

1 × 980

2 × 490

4 × 245

5 × 196

7 × 140

10 × 98

14 × 70

20 × 49

28 × 35

First multiples

980 · 1,960 (double) · 2,940 · 3,920 · 4,900 · 5,880 · 6,860 · 7,840 · 8,820 · 9,800

Sums & aliquot sequence

As a sum of two squares: 14² + 28²

As consecutive integers: 194 + 195 + 196 + 197 + 198 137 + 138 + … + 143 119 + 120 + … + 126 11 + 12 + … + 45

Aliquot sequence: 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Continued fraction of √n

√980 = [31; (3, 3, 1, 1, 2, 1, 1, 3, 3, 62)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty
Ordinal: 980th
Roman numeral: CMLXXX
Binary: 1111010100
Octal: 1724
Hexadecimal: 0x3D4
Base64: A9Q=
One's complement: 64,555 (16-bit)
Scientific notation: 9.8 × 10²
As a duration: 980 s = 16 minutes, 20 seconds

In other bases

ternary (3) 1100022

quaternary (4) 33110

quinary (5) 12410

senary (6) 4312

septenary (7) 2600

nonary (9) 1308

undecimal (11) 811

duodecimal (12) 698

tridecimal (13) 5a5

tetradecimal (14) 500

pentadecimal (15) 455

Palindromic in base 13

As an angle

980° = 2 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ϡπʹ
Mayan (base 20): 𝋢·𝋩·𝋠
Chinese: 九百八十
Chinese (financial): 玖佰捌拾

In other modern scripts

Eastern Arabic ٩٨٠ Devanagari ९८० Bengali ৯৮০ Tamil ௯௮௦ Thai ๙๘๐ Tibetan ༩༨༠ Khmer ៩៨០ Lao ໙໘໐ Burmese ၉၈၀

Digit at this position in famous constants

π — Pi (π): Digit 980 = 8
e — Euler's number (e): Digit 980 = 5
φ — Golden ratio (φ): Digit 980 = 5
√2 — Pythagoras's (√2): Digit 980 = 6
ln 2 — Natural log of 2: Digit 980 = 9
γ — Euler-Mascheroni (γ): Digit 980 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980, here are decompositions:

3 + 977 = 980
13 + 967 = 980
43 + 937 = 980
61 + 919 = 980
73 + 907 = 980
97 + 883 = 980
103 + 877 = 980
127 + 853 = 980

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Upsilon With Diaeresis And Hook Symbol

U+03D4

Uppercase letter (Lu)

UTF-8 encoding: CF 94 (2 bytes).

Lookup U+03D4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003D4

RGB(0, 3, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.212.

Address: 0.0.3.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.212

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

NANP area code 980

The number 980 is an active NANP area code (North American Numbering Plan).

Primary area: Charlotte
Region: North Carolina
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.

Look up area code 980 ↗

Musical pitch

Heard as a frequency, 980 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -14¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +24¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -12¢)