Number

1,516

1,516 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1516 AD

Aug 13 France and the Papacy sign the Concordat of Bologna.
Aug 24 Ottoman victory at Marj Dabiq begins the conquest of Mamluk Syria and Egypt.
Undated Thomas More publishes Utopia; Charles V becomes king of Spain.

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: Saturday
January 1, 1516
Ended on: Sunday
December 31, 1516
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1510s
1510–1519
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 510
510 years before 2026.

In other calendars

Hebrew: 5276 / 5277 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 921 / 922 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2059 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 894 / 895 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1508 / 1509 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1438 / 1437 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 30
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 6,151
Recamán's sequence: a(1,528) = 1,516
Square (n²): 2,298,256
Cube (n³): 3,484,156,096
Divisor count: 6
σ(n) — sum of divisors: 2,660
φ(n) — Euler's totient: 756
Sum of prime factors: 383

Primality

Prime factorization: 2 ² × 379

Nearest primes: 1,511 (−5) · 1,523 (+7)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 379 · 758 (half) · 1516

Aliquot sum (sum of proper divisors): 1,144

Factor pairs (a × b = 1,516)

1 × 1516

2 × 758

4 × 379

First multiples

1,516 · 3,032 (double) · 4,548 · 6,064 · 7,580 · 9,096 · 10,612 · 12,128 · 13,644 · 15,160

Sums & aliquot sequence

As consecutive integers: 186 + 187 + … + 193

Aliquot sequence: 1,516 → 1,144 → 1,376 → 1,396 → 1,054 → 674 → 340 → 416 → 466 → 236 → 184 → 176 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Representations

In words: one thousand five hundred sixteen
Ordinal: 1516th
Roman numeral: MDXVI
Binary: 10111101100
Octal: 2754
Hexadecimal: 0x5EC
Base64: Bew=
One's complement: 64,019 (16-bit)

In other bases

ternary (3) 2002011

quaternary (4) 113230

quinary (5) 22031

senary (6) 11004

septenary (7) 4264

nonary (9) 2064

undecimal (11) 1159

duodecimal (12) a64

tridecimal (13) 8c8

tetradecimal (14) 7a4

pentadecimal (15) 6b1

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφιϛʹ
Mayan (base 20): 𝋣·𝋯·𝋰
Chinese: 一千五百一十六
Chinese (financial): 壹仟伍佰壹拾陸

In other modern scripts

Eastern Arabic ١٥١٦ Devanagari १५१६ Bengali ১৫১৬ Tamil ௧௫௧௬ Thai ๑๕๑๖ Tibetan ༡༥༡༦ Khmer ១៥១៦ Lao ໑໕໑໖ Burmese ၁၅၁၆

Digit at this position in famous constants

π — Pi (π): Digit 1,516 = 2
e — Euler's number (e): Digit 1,516 = 0
φ — Golden ratio (φ): Digit 1,516 = 6
√2 — Pythagoras's (√2): Digit 1,516 = 7
ln 2 — Natural log of 2: Digit 1,516 = 6
γ — Euler-Mascheroni (γ): Digit 1,516 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1516, here are decompositions:

5 + 1511 = 1516
17 + 1499 = 1516
23 + 1493 = 1516
29 + 1487 = 1516
83 + 1433 = 1516
89 + 1427 = 1516
107 + 1409 = 1516
149 + 1367 = 1516

Showing the first eight; more decompositions exist.

Hex color

#0005EC

RGB(0, 5, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.236.

Address: 0.0.5.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.236

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

Position in π

The digit sequence 1516 first appears in π at position 3,858 of the decimal expansion (the 3,858ordinal-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.

Look up 1516 on Pi Search ↗