Number

1,230

1,230 is a composite number, even, a calendar year.

1,230 (one thousand two hundred thirty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 41. Its proper divisors sum to 1,794, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCXXX and in binary, 10011001110.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,218 1,219 1,220 1,221 1,222 1,223 1,224 1,225 1,226 1,227 1,228 1,229 1,230 1,231 1,232 1,233 1,234 1,235 1,236 1,237 1,238 1,239 1,240 1,241 1,242

less more

Historical context — 1230 AD

Calendar year

Year 1230 (MCCXXX) was a common year starting on Tuesday of the Julian 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: Tuesday
January 1, 1230
Ended on: Tuesday
December 31, 1230
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1230s
1230–1239
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 796
796 years before 2026.

In other calendars

Hebrew: 4990 / 4991 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 627 / 628 AH
Lunar calendar; year spans differ from Gregorian.
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: 1773 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 608 / 609 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1222 / 1223 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1152 / 1151 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 321
Recamán's sequence: a(8,528) = 1,230
Square (n²): 1,512,900
Cube (n³): 1,860,867,000
Divisor count: 16
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 320
Sum of prime factors: 51

Primality

Prime factorization: 2 × 3 × 5 × 41

Nearest primes: 1,229 (−1) · 1,231 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 41 · 82 · 123 · 205 · 246 · 410 · 615 (half) · 1230

Aliquot sum (sum of proper divisors): 1,794

Factor pairs (a × b = 1,230)

1 × 1230

2 × 615

3 × 410

5 × 246

6 × 205

10 × 123

15 × 82

30 × 41

First multiples

1,230 · 2,460 (double) · 3,690 · 4,920 · 6,150 · 7,380 · 8,610 · 9,840 · 11,070 · 12,300

Sums & aliquot sequence

As consecutive integers: 409 + 410 + 411 306 + 307 + 308 + 309 244 + 245 + 246 + 247 + 248 97 + 98 + … + 108

Aliquot sequence: 1,230 → 1,794 → 2,238 → 2,250 → 3,834 → 4,806 → 5,994 → 7,800 → 18,240 → 42,720 → 93,360 → 196,800 → 464,616 → 845,784 → 1,583,136 → 3,134,304 → 5,779,692 — unresolved within range

Continued fraction of √n

√1,230 = [35; (14, 70)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred thirty
Ordinal: 1230th
Roman numeral: MCCXXX
Binary: 10011001110
Octal: 2316
Hexadecimal: 0x4CE
Base64: BM4=
One's complement: 64,305 (16-bit)
Scientific notation: 1.23 × 10³
As a duration: 1,230 s = 20 minutes, 30 seconds

In other bases

ternary (3) 1200120

quaternary (4) 103032

quinary (5) 14410

senary (6) 5410

septenary (7) 3405

nonary (9) 1616

undecimal (11) a19

duodecimal (12) 866

tridecimal (13) 738

tetradecimal (14) 63c

pentadecimal (15) 570

As an angle

1,230° = 3 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆
Greek (Milesian): ͵ασλʹ
Mayan (base 20): 𝋣·𝋡·𝋪
Chinese: 一千二百三十
Chinese (financial): 壹仟貳佰參拾

In other modern scripts

Eastern Arabic ١٢٣٠ Devanagari १२३० Bengali ১২৩০ Tamil ௧௨௩௦ Thai ๑๒๓๐ Tibetan ༡༢༣༠ Khmer ១២៣០ Lao ໑໒໓໐ Burmese ၁၂၃၀

Digit at this position in famous constants

π — Pi (π): Digit 1,230 = 4
e — Euler's number (e): Digit 1,230 = 4
φ — Golden ratio (φ): Digit 1,230 = 5
√2 — Pythagoras's (√2): Digit 1,230 = 8
ln 2 — Natural log of 2: Digit 1,230 = 0
γ — Euler-Mascheroni (γ): Digit 1,230 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1230, here are decompositions:

7 + 1223 = 1230
13 + 1217 = 1230
17 + 1213 = 1230
29 + 1201 = 1230
37 + 1193 = 1230
43 + 1187 = 1230
59 + 1171 = 1230
67 + 1163 = 1230

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Small Letter Em With Tail

U+04CE

Lowercase letter (Ll)

UTF-8 encoding: D3 8E (2 bytes).

Lookup U+04CE on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004CE

RGB(0, 4, 206)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.206.

Address: 0.0.4.206
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.206

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

Musical pitch

Heard as a frequency, 1,230 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -20¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +17¢)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -19¢)

Position in π

The digit sequence 1230 first appears in π at position 7,145 of the decimal expansion (the 7,145ordinal-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 1230 on Pi Search ↗