1,420
1,420 is a composite number, even, a calendar year.
1,420 (one thousand four hundred twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 71. Its proper divisors sum to 1,604, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDXX and in binary, 10110001100.
Interestingness
Historical context — 1420 AD
Calendar year
Year 1420 (MCDXX) was a leap year starting on Monday of the Julian calendar.
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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
-
Saturday
January 1, 1420
- Ended on
-
Sunday
December 31, 1420
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1420s
1420–1429
- Century
-
15th century
1401–1500
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
606
606 years before 2026.
In other calendars
- Hebrew
-
5180 / 5181 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
822 / 823 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
-
1963 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
798 / 799 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1412 / 1413 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1342 / 1341 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 5 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,420 = [37; (1, 2, 6, 1, 1, 14, 1, 1, 6, 2, 1, 74)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one thousand four hundred twenty
- Ordinal
- 1420th
- Roman numeral
- MCDXX
- Binary
- 10110001100
- Octal
- 2614
- Hexadecimal
- 0x58C
- Base64
- BYw=
- One's complement
- 64,115 (16-bit)
- Scientific notation
- 1.42 × 10³
- As a duration
- 1,420 s = 23 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵αυκʹ
- Mayan (base 20)
- 𝋣·𝋫·𝋠
- Chinese
- 一千四百二十
- Chinese (financial)
- 壹仟肆佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,420 = 1
- e — Euler's number (e)
- Digit 1,420 = 8
- φ — Golden ratio (φ)
- Digit 1,420 = 0
- √2 — Pythagoras's (√2)
- Digit 1,420 = 5
- ln 2 — Natural log of 2
- Digit 1,420 = 4
- γ — Euler-Mascheroni (γ)
- Digit 1,420 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1420, here are decompositions:
- 11 + 1409 = 1420
- 47 + 1373 = 1420
- 53 + 1367 = 1420
- 59 + 1361 = 1420
- 101 + 1319 = 1420
- 113 + 1307 = 1420
- 131 + 1289 = 1420
- 137 + 1283 = 1420
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.140.
- Address
- 0.0.5.140
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.140
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,420 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +28¢)
- Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, -34¢)
- Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +30¢)
On an ingredients label, E1420 is Acetylated starch, an additional additive.
The digit sequence 1420 first appears in π at position 882 of the decimal expansion (the 882ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.