Number

1,760

1,760 is a composite number, even, a calendar year.

1,760 (one thousand seven hundred sixty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 11. Its proper divisors sum to 2,776, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCLX and in binary, 11011100000.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,748 1,749 1,750 1,751 1,752 1,753 1,754 1,755 1,756 1,757 1,758 1,759 1,760 1,761 1,762 1,763 1,764 1,765 1,766 1,767 1,768 1,769 1,770 1,771 1,772

less more

Notable events — 1760 AD

Oct 25 King George II dies; his grandson George III ascends the British throne.
Sep 8 Britain takes Montreal, ending French rule in Canada.
Undated The Industrial Revolution gathers pace with James Hargreaves's spinning jenny.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Tuesday
January 1, 1760
Ended on: Wednesday
December 31, 1760
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 6
Sunday, April 6, 1760
Decade: 1760s
1760–1769
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 266
266 years before 2026.

In other calendars

Hebrew: 5520 / 5521 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1173 / 1174 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: 2303 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1138 / 1139 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1752 / 1753 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1682 / 1681 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 671
Recamán's sequence: a(16,179) = 1,760
Square (n²): 3,097,600
Cube (n³): 5,451,776,000
Divisor count: 24
σ(n) — sum of divisors: 4,536
φ(n) — Euler's totient: 640
Sum of prime factors: 26

Primality

Prime factorization: 2 ⁵ × 5 × 11

Nearest primes: 1,759 (−1) · 1,777 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 80 · 88 · 110 · 160 · 176 · 220 · 352 · 440 · 880 (half) · 1760

Aliquot sum (sum of proper divisors): 2,776

Factor pairs (a × b = 1,760)

1 × 1760

2 × 880

4 × 440

5 × 352

8 × 220

10 × 176

11 × 160

16 × 110

20 × 88

22 × 80

32 × 55

40 × 44

First multiples

1,760 · 3,520 (double) · 5,280 · 7,040 · 8,800 · 10,560 · 12,320 · 14,080 · 15,840 · 17,600

Sums & aliquot sequence

As consecutive integers: 350 + 351 + 352 + 353 + 354 155 + 156 + … + 165 5 + 6 + … + 59

Aliquot sequence: 1,760 → 2,776 → 2,444 → 2,260 → 2,528 → 2,512 → 2,386 → 1,196 → 1,156 → 993 → 335 → 73 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,760 = [41; (1, 19, 1, 82)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred sixty
Ordinal: 1760th
Roman numeral: MDCCLX
Binary: 11011100000
Octal: 3340
Hexadecimal: 0x6E0
Base64: BuA=
One's complement: 63,775 (16-bit)
Scientific notation: 1.76 × 10³
As a duration: 1,760 s = 29 minutes, 20 seconds

In other bases

ternary (3) 2102012

quaternary (4) 123200

quinary (5) 24020

senary (6) 12052

septenary (7) 5063

nonary (9) 2365

undecimal (11) 1360

duodecimal (12) 1028

tridecimal (13) a55

tetradecimal (14) 8da

pentadecimal (15) 7c5

Palindromic in base 3

As an angle

1,760° = 4 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αψξʹ
Mayan (base 20): 𝋤·𝋨·𝋠
Chinese: 一千七百六十
Chinese (financial): 壹仟柒佰陸拾

In other modern scripts

Eastern Arabic ١٧٦٠ Devanagari १७६० Bengali ১৭৬০ Tamil ௧௭௬௦ Thai ๑๗๖๐ Tibetan ༡༧༦༠ Khmer ១៧៦០ Lao ໑໗໖໐ Burmese ၁၇၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,760 = 7
e — Euler's number (e): Digit 1,760 = 5
φ — Golden ratio (φ): Digit 1,760 = 5
√2 — Pythagoras's (√2): Digit 1,760 = 9
ln 2 — Natural log of 2: Digit 1,760 = 5
γ — Euler-Mascheroni (γ): Digit 1,760 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1760, here are decompositions:

7 + 1753 = 1760
13 + 1747 = 1760
19 + 1741 = 1760
37 + 1723 = 1760
61 + 1699 = 1760
67 + 1693 = 1760
97 + 1663 = 1760
103 + 1657 = 1760

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Small High Upright Rectangular Zero

U+06E0

Non-spacing mark (Mn)

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

Lookup U+06E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006E0

RGB(0, 6, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.224.

Address: 0.0.6.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.224

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

Musical pitch

Heard as a frequency, 1,760 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, exact)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, +1¢)

Position in π

The digit sequence 1760 first appears in π at position 8,609 of the decimal expansion (the 8,609ordinal-suffix:th 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 1760 on Pi Search ↗