Number

1,530

1,530 is a composite number, even, a calendar year.

1,530 (one thousand five hundred thirty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 5 × 17. Its proper divisors sum to 2,682, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDXXX and in binary, 10111111010.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,518 1,519 1,520 1,521 1,522 1,523 1,524 1,525 1,526 1,527 1,528 1,529 1,530 1,531 1,532 1,533 1,534 1,535 1,536 1,537 1,538 1,539 1,540 1,541 1,542

less more

Notable events — 1530 AD

Feb 24 Charles V is crowned Holy Roman Emperor at Bologna, the last imperial coronation by a pope.
Jun 25 Lutheran princes present the Augsburg Confession.
Nov 4 Cardinal Wolsey dies before facing trial in England.

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

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, 1530
Ended on: Wednesday
December 31, 1530
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1530s
1530–1539
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 496
496 years before 2026.

In other calendars

Hebrew: 5290 / 5291 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 936 / 937 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: 2073 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 908 / 909 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1522 / 1523 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1452 / 1451 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 351
Recamán's sequence: a(1,500) = 1,530
Square (n²): 2,340,900
Cube (n³): 3,581,577,000
Divisor count: 24
σ(n) — sum of divisors: 4,212
φ(n) — Euler's totient: 384
Sum of prime factors: 30

Primality

Prime factorization: 2 × 3 ² × 5 × 17

Nearest primes: 1,523 (−7) · 1,531 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 17 · 18 · 30 · 34 · 45 · 51 · 85 · 90 · 102 · 153 · 170 · 255 · 306 · 510 · 765 (half) · 1530

Aliquot sum (sum of proper divisors): 2,682

Factor pairs (a × b = 1,530)

1 × 1530

2 × 765

3 × 510

5 × 306

6 × 255

9 × 170

10 × 153

15 × 102

17 × 90

18 × 85

30 × 51

34 × 45

First multiples

1,530 · 3,060 (double) · 4,590 · 6,120 · 7,650 · 9,180 · 10,710 · 12,240 · 13,770 · 15,300

Sums & aliquot sequence

As a sum of two squares: 3² + 39² = 21² + 33²

As consecutive integers: 509 + 510 + 511 381 + 382 + 383 + 384 304 + 305 + 306 + 307 + 308 166 + 167 + … + 174

Aliquot sequence: 1,530 → 2,682 → 3,168 → 6,660 → 14,088 → 21,192 → 31,848 → 47,832 → 71,808 → 148,512 → 359,520 → 946,848 → 1,895,712 → 4,539,360 → 12,180,336 → 23,781,648 → 44,267,568 — unresolved within range

Continued fraction of √n

√1,530 = [39; (8, 1, 2, 8, 2, 1, 8, 78)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred thirty
Ordinal: 1530th
Roman numeral: MDXXX
Binary: 10111111010
Octal: 2772
Hexadecimal: 0x5FA
Base64: Bfo=
One's complement: 64,005 (16-bit)
Scientific notation: 1.53 × 10³
As a duration: 1,530 s = 25 minutes, 30 seconds

In other bases

ternary (3) 2002200

quaternary (4) 113322

quinary (5) 22110

senary (6) 11030

septenary (7) 4314

nonary (9) 2080

undecimal (11) 1171

duodecimal (12) a76

tridecimal (13) 909

tetradecimal (14) 7b4

pentadecimal (15) 6c0

Palindromic in base 8, base 13

As an angle

1,530° = 4 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian): ͵αφλʹ
Mayan (base 20): 𝋣·𝋰·𝋪
Chinese: 一千五百三十
Chinese (financial): 壹仟伍佰參拾

In other modern scripts

Eastern Arabic ١٥٣٠ Devanagari १५३० Bengali ১৫৩০ Tamil ௧௫௩௦ Thai ๑๕๓๐ Tibetan ༡༥༣༠ Khmer ១៥៣០ Lao ໑໕໓໐ Burmese ၁၅၃၀

Digit at this position in famous constants

π — Pi (π): Digit 1,530 = 6
e — Euler's number (e): Digit 1,530 = 4
φ — Golden ratio (φ): Digit 1,530 = 0
√2 — Pythagoras's (√2): Digit 1,530 = 5
ln 2 — Natural log of 2: Digit 1,530 = 6
γ — Euler-Mascheroni (γ): Digit 1,530 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1530, here are decompositions:

7 + 1523 = 1530
19 + 1511 = 1530
31 + 1499 = 1530
37 + 1493 = 1530
41 + 1489 = 1530
43 + 1487 = 1530
47 + 1483 = 1530
59 + 1471 = 1530

Showing the first eight; more decompositions exist.

Hex color

#0005FA

RGB(0, 5, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.250.

Address: 0.0.5.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.250

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

Musical pitch

Heard as a frequency, 1,530 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -42¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -5¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -41¢)

Position in π

The digit sequence 1530 first appears in π at position 8,778 of the decimal expansion (the 8,778ordinal-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 1530 on Pi Search ↗