Number

1,420

1,420 is a composite number, even, a calendar year.

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

Historical context — 1420 AD

Calendar year

Year 1420 (MCDXX) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: 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

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 241
Recamán's sequence: a(516) = 1,420
Square (n²): 2,016,400
Cube (n³): 2,863,288,000
Divisor count: 12
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 560
Sum of prime factors: 80

Primality

Prime factorization: 2 ² × 5 × 71

Nearest primes: 1,409 (−11) · 1,423 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 71 · 142 · 284 · 355 · 710 (half) · 1420

Aliquot sum (sum of proper divisors): 1,604

Factor pairs (a × b = 1,420)

1 × 1420

2 × 710

4 × 355

5 × 284

10 × 142

20 × 71

First multiples

1,420 · 2,840 (double) · 4,260 · 5,680 · 7,100 · 8,520 · 9,940 · 11,360 · 12,780 · 14,200

Sums & aliquot sequence

As consecutive integers: 282 + 283 + 284 + 285 + 286 174 + 175 + … + 181 16 + 17 + … + 55

Aliquot sequence: 1,420 → 1,604 → 1,210 → 1,184 → 1,210 — enters a cycle

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)

In other bases

ternary (3) 1221121

quaternary (4) 112030

quinary (5) 21140

senary (6) 10324

septenary (7) 4066

nonary (9) 1847

undecimal (11) 1081

duodecimal (12) 9a4

tridecimal (13) 853

tetradecimal (14) 736

pentadecimal (15) 64a

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

In other modern scripts

Eastern Arabic ١٤٢٠ Devanagari १४२० Bengali ১৪২০ Tamil ௧௪௨௦ Thai ๑๔๒๐ Tibetan ༡༤༢༠ Khmer ១៤២០ Lao ໑໔໒໐ Burmese ၁၄၂၀

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 decomposition

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.

Hex color

#00058C

RGB(0, 5, 140)

IPv4 address

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.

Position in π

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.

Look up 1420 on Pi Search ↗