Number

510

510 is a composite number, even, a calendar year.

510 (five hundred ten) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 17. Its proper divisors sum to 786, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DX and in binary, 111111110.

Abundant Number Arithmetic Number Cube-Free Descending Digits Evil Number Harshad / Niven Practical Number Preferred Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

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9 notable facts · grade A

498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522

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Historical context — 510 AD

Calendar year

Year 510 (DX) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 510 BC

Calendar year

The year 510 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 510
Ended on: Wednesday
December 31, 510
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 510s
510–519
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,516
1516 years before 2026.

In other calendars

Hebrew: 4270 / 4271 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1053 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 502 / 503 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 432 / 431 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 15
Recamán's sequence: a(276) = 510
Square (n²): 260,100
Cube (n³): 132,651,000
Divisor count: 16
σ(n) — sum of divisors: 1,296
φ(n) — Euler's totient: 128
Sum of prime factors: 27

Primality

Prime factorization: 2 × 3 × 5 × 17

Nearest primes: 509 (−1) · 521 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 17 · 30 · 34 · 51 · 85 · 102 · 170 · 255 (half) · 510

Aliquot sum (sum of proper divisors): 786

Factor pairs (a × b = 510)

1 × 510

2 × 255

3 × 170

5 × 102

6 × 85

10 × 51

15 × 34

17 × 30

First multiples

510 · 1,020 (double) · 1,530 · 2,040 · 2,550 · 3,060 · 3,570 · 4,080 · 4,590 · 5,100

Sums & aliquot sequence

As consecutive integers: 169 + 170 + 171 126 + 127 + 128 + 129 100 + 101 + 102 + 103 + 104 37 + 38 + … + 48

Aliquot sequence: 510 → 786 → 798 → 1,122 → 1,470 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 → 35,136 → 67,226 — unresolved within range

Continued fraction of √n

√510 = [22; (1, 1, 2, 1, 1, 44)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five hundred ten
Ordinal: 510th
Roman numeral: DX
Binary: 111111110
Octal: 776
Hexadecimal: 0x1FE
Base64: Af4=
One's complement: 65,025 (16-bit)
Scientific notation: 5.1 × 10²
As a duration: 510 s = 8 minutes, 30 seconds

In other bases

ternary (3) 200220

quaternary (4) 13332

quinary (5) 4020

senary (6) 2210

septenary (7) 1326

nonary (9) 626

undecimal (11) 424

duodecimal (12) 366

tridecimal (13) 303

tetradecimal (14) 286

pentadecimal (15) 240

Palindromic in base 9, base 11, base 13

As an angle

510° = 1 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian): φιʹ
Mayan (base 20): 𝋡·𝋥·𝋪
Chinese: 五百一十
Chinese (financial): 伍佰壹拾

In other modern scripts

Eastern Arabic ٥١٠ Devanagari ५१० Bengali ৫১০ Tamil ௫௧௦ Thai ๕๑๐ Tibetan ༥༡༠ Khmer ៥១០ Lao ໕໑໐ Burmese ၅၁၀

Digit at this position in famous constants

π — Pi (π): Digit 510 = 6
e — Euler's number (e): Digit 510 = 1
φ — Golden ratio (φ): Digit 510 = 6
√2 — Pythagoras's (√2): Digit 510 = 6
ln 2 — Natural log of 2: Digit 510 = 0
γ — Euler-Mascheroni (γ): Digit 510 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 510, here are decompositions:

7 + 503 = 510
11 + 499 = 510
19 + 491 = 510
23 + 487 = 510
31 + 479 = 510
43 + 467 = 510
47 + 463 = 510
53 + 457 = 510

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter O With Stroke And Acute

U+01FE

Uppercase letter (Lu)

UTF-8 encoding: C7 BE (2 bytes).

Lookup U+01FE on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001FE

RGB(0, 1, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.254.

Address: 0.0.1.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.254

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

NANP area code 510

The number 510 is an active NANP area code (North American Numbering Plan).

Primary area: Oakland / Berkeley
Region: California
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 510 ↗

Musical pitch

Heard as a frequency, 510 Hz is closest to:

Concert pitch (A4 = 440 Hz): C5 (523.3 Hz, -44¢)
Scientific pitch (C4 = 256 Hz): C5 (512 Hz, -7¢)
Baroque pitch (A4 = 415 Hz): C♯5 (522.9 Hz, -43¢)