Number

1,120

1,120 is a composite number, even, a calendar year.

1,120 (one thousand one hundred twenty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 7. Its proper divisors sum to 1,904, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXX and in binary, 10001100000.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,108 1,109 1,110 1,111 1,112 1,113 1,114 1,115 1,116 1,117 1,118 1,119 1,120 1,121 1,122 1,123 1,124 1,125 1,126 1,127 1,128 1,129 1,130 1,131 1,132

less more

Historical context — 1120 AD

Calendar year

Year 1120 (MCXX) 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 →

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, 1120
Ended on: Friday
December 31, 1120
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1120s
1120–1129
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 906
906 years before 2026.

In other calendars

Hebrew: 4880 / 4881 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 513 / 514 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1663 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 498 / 499 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1112 / 1113 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1042 / 1041 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 211
Recamán's sequence: a(1,932) = 1,120
Square (n²): 1,254,400
Cube (n³): 1,404,928,000
Divisor count: 24
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 384
Sum of prime factors: 22

Primality

Prime factorization: 2 ⁵ × 5 × 7

Nearest primes: 1,117 (−3) · 1,123 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 160 · 224 · 280 · 560 (half) · 1120

Aliquot sum (sum of proper divisors): 1,904

Factor pairs (a × b = 1,120)

1 × 1120

2 × 560

4 × 280

5 × 224

7 × 160

8 × 140

10 × 112

14 × 80

16 × 70

20 × 56

28 × 40

32 × 35

First multiples

1,120 · 2,240 (double) · 3,360 · 4,480 · 5,600 · 6,720 · 7,840 · 8,960 · 10,080 · 11,200

Sums & aliquot sequence

As consecutive integers: 222 + 223 + 224 + 225 + 226 157 + 158 + … + 163 15 + 16 + … + 49

Aliquot sequence: 1,120 → 1,904 → 2,560 → 3,578 → 1,792 → 2,296 → 2,744 → 3,256 → 3,584 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 — unresolved within range

Continued fraction of √n

√1,120 = [33; (2, 6, 1, 15, 1, 6, 2, 66)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred twenty
Ordinal: 1120th
Roman numeral: MCXX
Binary: 10001100000
Octal: 2140
Hexadecimal: 0x460
Base64: BGA=
One's complement: 64,415 (16-bit)
Scientific notation: 1.12 × 10³
As a duration: 1,120 s = 18 minutes, 40 seconds

In other bases

ternary (3) 1112111

quaternary (4) 101200

quinary (5) 13440

senary (6) 5104

septenary (7) 3160

nonary (9) 1474

undecimal (11) 929

duodecimal (12) 794

tridecimal (13) 682

tetradecimal (14) 5a0

pentadecimal (15) 4ea

Palindromic in base 3, base 11

As an angle

1,120° = 3 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆
Greek (Milesian): ͵αρκʹ
Mayan (base 20): 𝋢·𝋰·𝋠
Chinese: 一千一百二十
Chinese (financial): 壹仟壹佰貳拾

In other modern scripts

Eastern Arabic ١١٢٠ Devanagari ११२० Bengali ১১২০ Tamil ௧௧௨௦ Thai ๑๑๒๐ Tibetan ༡༡༢༠ Khmer ១១២០ Lao ໑໑໒໐ Burmese ၁၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 1,120 = 5
e — Euler's number (e): Digit 1,120 = 6
φ — Golden ratio (φ): Digit 1,120 = 5
√2 — Pythagoras's (√2): Digit 1,120 = 0
ln 2 — Natural log of 2: Digit 1,120 = 9
γ — Euler-Mascheroni (γ): Digit 1,120 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1120, here are decompositions:

3 + 1117 = 1120
11 + 1109 = 1120
17 + 1103 = 1120
23 + 1097 = 1120
29 + 1091 = 1120
59 + 1061 = 1120
71 + 1049 = 1120
89 + 1031 = 1120

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Omega

U+0460

Uppercase letter (Lu)

UTF-8 encoding: D1 A0 (2 bytes).

Lookup U+0460 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000460

RGB(0, 4, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.96.

Address: 0.0.4.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.96

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

Musical pitch

Heard as a frequency, 1,120 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -45¢ — about midway to C♯6)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +19¢)

Position in π

The digit sequence 1120 first appears in π at position 3,822 of the decimal expansion (the 3,822ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1120 on Pi Search ↗