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Number

1,968

1,968 is a composite number, even, a calendar year.

Abundant Number Evil Number Flippable Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1968 AD

  1. Jan 30 The Viet Cong launch the Tet Offensive across South Vietnam.
  2. Apr 4 Martin Luther King Jr. is assassinated in Memphis.
  3. Jun 5 Robert F. Kennedy is shot in Los Angeles; he dies the next day.
  4. Aug 20 Warsaw Pact troops invade Czechoslovakia, crushing the Prague Spring.
  5. Oct 12 The Summer Olympics open in Mexico City; Tommie Smith and John Carlos give the Black Power salute.

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
Monday
January 1, 1968
Ended on
Tuesday
December 31, 1968
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 14
Sunday, April 14, 1968
Decade
1960s
1960–1969
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
58
58 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes
Winter Olympics
Yes
Held in the same year as the Summer Games until 1992.

In other calendars

Hebrew
5728 / 5729 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1387 / 1388 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2511 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1346 / 1347 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1960 / 1961 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1890 / 1889 Saka
Indian national calendar; year starts in March.
Japanese
Shōwa 43
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
24
Digit product
432
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
8,691
Flips to (rotate 180°)
8,961
Recamán's sequence
a(3,815) = 1,968
Square (n²)
3,873,024
Cube (n³)
7,622,111,232
Divisor count
20
σ(n) — sum of divisors
5,208
φ(n) — Euler's totient
640
Sum of prime factors
52

Primality

Prime factorization: 2 4 × 3 × 41

Nearest primes: 1,951 (−17) · 1,973 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 41 · 48 · 82 · 123 · 164 · 246 · 328 · 492 · 656 · 984 (half) · 1968
Aliquot sum (sum of proper divisors): 3,240
Factor pairs (a × b = 1,968)
1 × 1968
2 × 984
3 × 656
4 × 492
6 × 328
8 × 246
12 × 164
16 × 123
24 × 82
41 × 48
First multiples
1,968 · 3,936 (double) · 5,904 · 7,872 · 9,840 · 11,808 · 13,776 · 15,744 · 17,712 · 19,680

Sums & aliquot sequence

As consecutive integers: 655 + 656 + 657 46 + 47 + … + 77 28 + 29 + … + 68
Aliquot sequence: 1,968 3,240 7,650 14,112 32,571 27,333 12,161 1 0 — terminates at zero

Representations

In words
one thousand nine hundred sixty-eight
Ordinal
1968th
Roman numeral
MCMLXVIII
Binary
11110110000
Octal
3660
Hexadecimal
0x7B0
Base64
B7A=
One's complement
63,567 (16-bit)
In other bases
ternary (3) 2200220
quaternary (4) 132300
quinary (5) 30333
senary (6) 13040
septenary (7) 5511
nonary (9) 2626
undecimal (11) 152a
duodecimal (12) 1180
tridecimal (13) b85
tetradecimal (14) a08
pentadecimal (15) 8b3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αϡξηʹ
Mayan (base 20)
𝋤·𝋲·𝋨
Chinese
一千九百六十八
Chinese (financial)
壹仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ١٩٦٨ Devanagari १९६८ Bengali ১৯৬৮ Tamil ௧௯௬௮ Thai ๑๙๖๘ Tibetan ༡༩༦༨ Khmer ១៩៦៨ Lao ໑໙໖໘ Burmese ၁၉၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,968 = 1
e — Euler's number (e)
Digit 1,968 = 7
φ — Golden ratio (φ)
Digit 1,968 = 0
√2 — Pythagoras's (√2)
Digit 1,968 = 2
ln 2 — Natural log of 2
Digit 1,968 = 4
γ — Euler-Mascheroni (γ)
Digit 1,968 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1968, here are decompositions:

  • 17 + 1951 = 1968
  • 19 + 1949 = 1968
  • 37 + 1931 = 1968
  • 61 + 1907 = 1968
  • 67 + 1901 = 1968
  • 79 + 1889 = 1968
  • 89 + 1879 = 1968
  • 97 + 1871 = 1968

Showing the first eight; more decompositions exist.

Unicode codepoint
ް
Thaana Sukun
U+07B0
Non-spacing mark (Mn)

UTF-8 encoding: DE B0 (2 bytes).

Hex color
#0007B0
RGB(0, 7, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.176.

Address
0.0.7.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.176

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

Position in π

The digit sequence 1968 first appears in π at position 11,756 of the decimal expansion (the 11,756ordinal-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.