Number

1,600

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

1,600 (one thousand six hundred) is an even 4-digit number. It is a composite number with 21 divisors, and factors as 2⁶ × 5². Its proper divisors sum to 2,337, more than the number itself, making it an abundant number. It is a perfect square (40²). Written other ways, in Roman numerals it is MDC and in binary, 11001000000.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,588 1,589 1,590 1,591 1,592 1,593 1,594 1,595 1,596 1,597 1,598 1,599 1,600 1,601 1,602 1,603 1,604 1,605 1,606 1,607 1,608 1,609 1,610 1,611 1,612

less more

Notable events — 1600 AD

Feb 17 Giordano Bruno is burned at the stake in Rome.
Dec 31 Queen Elizabeth I charters the English East India Company.
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)
Scientific notation: 1.6 × 10³
As a duration: 1,600 s = 26 minutes, 40 seconds

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

Palindromic in base 7

As an angle

1,600° = 4 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

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

Arabic Tatweel

U+0640

Modifier letter (Lm)

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

Lookup U+0640 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,600 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +36¢)

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.

Look up 1600 on Pi Search ↗