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Number

1,600

1,600 is a composite number, even, a calendar year.

Abundant Number Flippable Gapful Number Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1600 AD

  1. Feb 17 Giordano Bruno is burned at the stake in Rome.
  2. Dec 31 Queen Elizabeth I charters the English East India Company.
  3. Oct 21 Tokugawa Ieyasu wins the Battle of Sekigahara, opening the Edo period in Japan.

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

Year facts

Year type
Leap year
Divisible by 400 (Gregorian leap-year rule exception to the century rule).
Days in year
366
ISO weeks
52
Started on
Saturday
January 1, 1600
Ended on
Sunday
December 31, 1600
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 2
Sunday, April 2, 1600
Decade
1600s
1600–1609
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
426
426 years before 2026.

In other calendars

Hebrew
5360 / 5361 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1008 / 1009 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
2143 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
978 / 979 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1592 / 1593 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1522 / 1521 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
61
Flips to (rotate 180°)
91
Recamán's sequence
a(1,344) = 1,600
Square (n²)
2,560,000
Cube (n³)
4,096,000,000
Square root (√n)
40
Divisor count
21
σ(n) — sum of divisors
3,937
φ(n) — Euler's totient
640
Sum of prime factors
22

Primality

Prime factorization: 2 6 × 5 2

Nearest primes: 1,597 (−3) · 1,601 (+1)

Divisors & multiples

All divisors (21)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 160 · 200 · 320 · 400 · 800 (half) · 1600
Aliquot sum (sum of proper divisors): 2,337
Factor pairs (a × b = 1,600)
1 × 1600
2 × 800
4 × 400
5 × 320
8 × 200
10 × 160
16 × 100
20 × 80
25 × 64
32 × 50
40 × 40
First multiples
1,600 · 3,200 (double) · 4,800 · 6,400 · 8,000 · 9,600 · 11,200 · 12,800 · 14,400 · 16,000

Sums & aliquot sequence

As a sum of two squares: 0² + 40² = 24² + 32²
As consecutive integers: 318 + 319 + 320 + 321 + 322 52 + 53 + … + 76
Aliquot sequence: 1,600 2,337 1,023 513 287 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand six hundred
Ordinal
1600th
Roman numeral
MDC
Binary
11001000000
Octal
3100
Hexadecimal
0x640
Base64
BkA=
One's complement
63,935 (16-bit)
In other bases
ternary (3) 2012021
quaternary (4) 121000
quinary (5) 22400
senary (6) 11224
septenary (7) 4444
nonary (9) 2167
undecimal (11) 1225
duodecimal (12) b14
tridecimal (13) 961
tetradecimal (14) 824
pentadecimal (15) 71a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵αχʹ
Mayan (base 20)
𝋤·𝋠·𝋠
Chinese
一千六百
Chinese (financial)
壹仟陸佰
In other modern scripts
Eastern Arabic ١٦٠٠ Devanagari १६०० Bengali ১৬০০ Tamil ௧௬௦௦ Thai ๑๖๐๐ Tibetan ༡༦༠༠ Khmer ១៦០០ Lao ໑໖໐໐ Burmese ၁၆၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,600 = 0
e — Euler's number (e)
Digit 1,600 = 6
φ — Golden ratio (φ)
Digit 1,600 = 1
√2 — Pythagoras's (√2)
Digit 1,600 = 9
ln 2 — Natural log of 2
Digit 1,600 = 8
γ — Euler-Mascheroni (γ)
Digit 1,600 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1600, here are decompositions:

  • 3 + 1597 = 1600
  • 17 + 1583 = 1600
  • 29 + 1571 = 1600
  • 41 + 1559 = 1600
  • 47 + 1553 = 1600
  • 89 + 1511 = 1600
  • 101 + 1499 = 1600
  • 107 + 1493 = 1600

Showing the first eight; more decompositions exist.

Unicode codepoint
ـ
Arabic Tatweel
U+0640
Modifier letter (Lm)

UTF-8 encoding: D9 80 (2 bytes).

Hex color
#000640
RGB(0, 6, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.64.

Address
0.0.6.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.64

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

Position in π

The digit sequence 1600 first appears in π at position 22,222 of the decimal expansion (the 22,222ordinal-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.