1,968
1,968 is a composite number, even, a calendar year.
1,968 (one thousand nine hundred sixty-eight) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 41. Its proper divisors sum to 3,240, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCMLXVIII and in binary, 11110110000.
Interestingness
Notable events — 1968 AD
- Jan 30 The Viet Cong launch the Tet Offensive across South Vietnam.
- Apr 4 Martin Luther King Jr. is assassinated in Memphis.
- Jun 5 Robert F. Kennedy is shot in Los Angeles; he dies the next day.
- Aug 20 Warsaw Pact troops invade Czechoslovakia, crushing the Prague Spring.
- 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
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,968 = [44; (2, 1, 3, 5, 3, 1, 2, 88)]
Period length 8 — the block in parentheses repeats forever.
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)
- Scientific notation
- 1.968 × 10³
- As a duration
- 1,968 s = 32 minutes, 48 seconds
As an angle
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
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'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.
UTF-8 encoding: DE B0 (2 bytes).
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.
Heard as a frequency, 1,968 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, -7¢)
- Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, +31¢)
- Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, -5¢)
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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.