Number

1,480

1,480 is a composite number, even, a calendar year.

1,480 (one thousand four hundred eighty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 37. Its proper divisors sum to 1,940, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDLXXX and in binary, 10111001000.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,468 1,469 1,470 1,471 1,472 1,473 1,474 1,475 1,476 1,477 1,478 1,479 1,480 1,481 1,482 1,483 1,484 1,485 1,486 1,487 1,488 1,489 1,490 1,491 1,492

less more

Historical context — 1480 AD

Calendar year

Year 1480 (MCDLXXX) was a leap year starting on Saturday of the Julian calendar.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1480
Ended on: Friday
December 31, 1480
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1480s
1480–1489
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 546
546 years before 2026.

In other calendars

Hebrew: 5240 / 5241 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 884 / 885 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: 2023 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 858 / 859 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1472 / 1473 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1402 / 1401 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 841
Recamán's sequence: a(1,600) = 1,480
Square (n²): 2,190,400
Cube (n³): 3,241,792,000
Divisor count: 16
σ(n) — sum of divisors: 3,420
φ(n) — Euler's totient: 576
Sum of prime factors: 48

Primality

Prime factorization: 2 ³ × 5 × 37

Nearest primes: 1,471 (−9) · 1,481 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 37 · 40 · 74 · 148 · 185 · 296 · 370 · 740 (half) · 1480

Aliquot sum (sum of proper divisors): 1,940

Factor pairs (a × b = 1,480)

1 × 1480

2 × 740

4 × 370

5 × 296

8 × 185

10 × 148

20 × 74

37 × 40

First multiples

1,480 · 2,960 (double) · 4,440 · 5,920 · 7,400 · 8,880 · 10,360 · 11,840 · 13,320 · 14,800

Sums & aliquot sequence

As a sum of two squares: 6² + 38² = 18² + 34²

As consecutive integers: 294 + 295 + 296 + 297 + 298 85 + 86 + … + 100 22 + 23 + … + 58

Aliquot sequence: 1,480 → 1,940 → 2,176 → 2,414 → 1,474 → 974 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,480 = [38; (2, 8, 19, 8, 2, 76)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred eighty
Ordinal: 1480th
Roman numeral: MCDLXXX
Binary: 10111001000
Octal: 2710
Hexadecimal: 0x5C8
Base64: Bcg=
One's complement: 64,055 (16-bit)
Scientific notation: 1.48 × 10³
As a duration: 1,480 s = 24 minutes, 40 seconds

In other bases

ternary (3) 2000211

quaternary (4) 113020

quinary (5) 21410

senary (6) 10504

septenary (7) 4213

nonary (9) 2024

undecimal (11) 1126

duodecimal (12) a34

tridecimal (13) 89b

tetradecimal (14) 77a

pentadecimal (15) 68a

As an angle

1,480° = 4 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αυπʹ
Mayan (base 20): 𝋣·𝋮·𝋠
Chinese: 一千四百八十
Chinese (financial): 壹仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٤٨٠ Devanagari १४८० Bengali ১৪৮০ Tamil ௧௪௮௦ Thai ๑๔๘๐ Tibetan ༡༤༨༠ Khmer ១៤៨០ Lao ໑໔໘໐ Burmese ၁၄၈၀

Digit at this position in famous constants

π — Pi (π): Digit 1,480 = 5
e — Euler's number (e): Digit 1,480 = 6
φ — Golden ratio (φ): Digit 1,480 = 6
√2 — Pythagoras's (√2): Digit 1,480 = 3
ln 2 — Natural log of 2: Digit 1,480 = 8
γ — Euler-Mascheroni (γ): Digit 1,480 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1480, here are decompositions:

29 + 1451 = 1480
41 + 1439 = 1480
47 + 1433 = 1480
53 + 1427 = 1480
71 + 1409 = 1480
107 + 1373 = 1480
113 + 1367 = 1480
173 + 1307 = 1480

Showing the first eight; more decompositions exist.

Hex color

#0005C8

RGB(0, 5, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.200.

Address: 0.0.5.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.200

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

Musical pitch

Heard as a frequency, 1,480 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, exact)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +1¢)

Position in π

The digit sequence 1480 first appears in π at position 103 of the decimal expansion (the 103ordinal-suffix:rd 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 1480 on Pi Search ↗