Number

920

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

920 (nine hundred twenty) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 23. Its proper divisors sum to 1,240, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXX and in binary, 1110011000.

Abundant Number Arithmetic Number Descending Digits Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

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5 notable facts · grade C

908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932

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Historical context — 920 AD

Calendar year

Year 920 (CMXX) was a leap year starting on Saturday of the Julian calendar.

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

Historical context — 920 BC

Decade

The 920s BC is a decade that lasted from 929 BC to 920 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: Monday
January 1, 920
Ended on: Tuesday
December 31, 920
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 920s
920–929
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,106
1106 years before 2026.

In other calendars

Hebrew: 4680 / 4681 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 307 / 308 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: 1463 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 298 / 299 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 912 / 913 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 842 / 841 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 29
Recamán's sequence: a(591) = 920
Square (n²): 846,400
Cube (n³): 778,688,000
Divisor count: 16
σ(n) — sum of divisors: 2,160
φ(n) — Euler's totient: 352
Sum of prime factors: 34

Primality

Prime factorization: 2 ³ × 5 × 23

Nearest primes: 919 (−1) · 929 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 23 · 40 · 46 · 92 · 115 · 184 · 230 · 460 (half) · 920

Aliquot sum (sum of proper divisors): 1,240

Factor pairs (a × b = 920)

1 × 920

2 × 460

4 × 230

5 × 184

8 × 115

10 × 92

20 × 46

23 × 40

First multiples

920 · 1,840 (double) · 2,760 · 3,680 · 4,600 · 5,520 · 6,440 · 7,360 · 8,280 · 9,200

Sums & aliquot sequence

As consecutive integers: 182 + 183 + 184 + 185 + 186 50 + 51 + … + 65 29 + 30 + … + 51

Aliquot sequence: 920 → 1,240 → 1,640 → 2,140 → 2,396 → 1,804 → 1,724 → 1,300 → 1,738 → 1,142 → 574 → 434 → 334 → 170 → 154 → 134 → 70 — unresolved within range

Continued fraction of √n

√920 = [30; (3, 60)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred twenty
Ordinal: 920th
Roman numeral: CMXX
Binary: 1110011000
Octal: 1630
Hexadecimal: 0x398
Base64: A5g=
One's complement: 64,615 (16-bit)
Scientific notation: 9.2 × 10²
As a duration: 920 s = 15 minutes, 20 seconds

In other bases

ternary (3) 1021002

quaternary (4) 32120

quinary (5) 12140

senary (6) 4132

septenary (7) 2453

nonary (9) 1232

undecimal (11) 767

duodecimal (12) 648

tridecimal (13) 55a

tetradecimal (14) 49a

pentadecimal (15) 415

Palindromic in base 11

As an angle

920° = 2 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ϡκʹ
Mayan (base 20): 𝋢·𝋦·𝋠
Chinese: 九百二十
Chinese (financial): 玖佰貳拾

In other modern scripts

Eastern Arabic ٩٢٠ Devanagari ९२० Bengali ৯২০ Tamil ௯௨௦ Thai ๙๒๐ Tibetan ༩༢༠ Khmer ៩២០ Lao ໙໒໐ Burmese ၉၂၀

Digit at this position in famous constants

π — Pi (π): Digit 920 = 7
e — Euler's number (e): Digit 920 = 7
φ — Golden ratio (φ): Digit 920 = 0
√2 — Pythagoras's (√2): Digit 920 = 8
ln 2 — Natural log of 2: Digit 920 = 2
γ — Euler-Mascheroni (γ): Digit 920 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 920, here are decompositions:

13 + 907 = 920
37 + 883 = 920
43 + 877 = 920
61 + 859 = 920
67 + 853 = 920
97 + 823 = 920
109 + 811 = 920
151 + 769 = 920

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Capital Letter Theta

U+0398

Uppercase letter (Lu)

UTF-8 encoding: CE 98 (2 bytes).

Lookup U+0398 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000398

RGB(0, 3, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.152.

Address: 0.0.3.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.152

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

NANP area code 920

The number 920 is an active NANP area code (North American Numbering Plan).

Primary area: Green Bay / Appleton
Region: Wisconsin
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 920 ↗

Musical pitch

Heard as a frequency, 920 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯5 (932.3 Hz, -23¢)
Scientific pitch (C4 = 256 Hz): A♯5 (912.3 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): B5 (931.6 Hz, -22¢)

Food additive (E-number)

On an ingredients label, E920 is L-Cysteine, a glazing agent, gas or sweetener — a dough conditioner.

E-number reference (Wikipedia) ↗