Number

1,520

1,520 is a composite number, even, a calendar year.

1,520 (one thousand five hundred twenty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 19. Its proper divisors sum to 2,200, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDXX and in binary, 10111110000.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Pentagonal Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,508 1,509 1,510 1,511 1,512 1,513 1,514 1,515 1,516 1,517 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

less more

Notable events — 1520 AD

Jun 7 Henry VIII and Francis I meet at the Field of the Cloth of Gold.
Jun 30 Cortés's forces flee Tenochtitlan on the "Noche Triste" after Aztec uprising.
Jun 15 Pope Leo X issues Exsurge Domine threatening Luther with excommunication.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1520
Ended on: Friday
December 31, 1520
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1520s
1520–1529
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 506
506 years before 2026.

In other calendars

Hebrew: 5280 / 5281 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 926 / 927 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2063 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 898 / 899 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1512 / 1513 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1442 / 1441 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 251
Recamán's sequence: a(1,520) = 1,520
Square (n²): 2,310,400
Cube (n³): 3,511,808,000
Divisor count: 20
σ(n) — sum of divisors: 3,720
φ(n) — Euler's totient: 576
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁴ × 5 × 19

Nearest primes: 1,511 (−9) · 1,523 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 38 · 40 · 76 · 80 · 95 · 152 · 190 · 304 · 380 · 760 (half) · 1520

Aliquot sum (sum of proper divisors): 2,200

Factor pairs (a × b = 1,520)

1 × 1520

2 × 760

4 × 380

5 × 304

8 × 190

10 × 152

16 × 95

19 × 80

20 × 76

38 × 40

First multiples

1,520 · 3,040 (double) · 4,560 · 6,080 · 7,600 · 9,120 · 10,640 · 12,160 · 13,680 · 15,200

Sums & aliquot sequence

As consecutive integers: 302 + 303 + 304 + 305 + 306 71 + 72 + … + 89 32 + 33 + … + 63

Aliquot sequence: 1,520 → 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 → 3,004 → 2,260 → 2,528 → 2,512 → 2,386 — unresolved within range

Continued fraction of √n

√1,520 = [38; (1, 76)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred twenty
Ordinal: 1520th
Roman numeral: MDXX
Binary: 10111110000
Octal: 2760
Hexadecimal: 0x5F0
Base64: BfA=
One's complement: 64,015 (16-bit)
Scientific notation: 1.52 × 10³
As a duration: 1,520 s = 25 minutes, 20 seconds

In other bases

ternary (3) 2002022

quaternary (4) 113300

quinary (5) 22040

senary (6) 11012

septenary (7) 4301

nonary (9) 2068

undecimal (11) 1162

duodecimal (12) a68

tridecimal (13) 8cc

tetradecimal (14) 7a8

pentadecimal (15) 6b5

As an angle

1,520° = 4 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵αφκʹ
Mayan (base 20): 𝋣·𝋰·𝋠
Chinese: 一千五百二十
Chinese (financial): 壹仟伍佰貳拾

In other modern scripts

Eastern Arabic ١٥٢٠ Devanagari १५२० Bengali ১৫২০ Tamil ௧௫௨௦ Thai ๑๕๒๐ Tibetan ༡༥༢༠ Khmer ១៥២០ Lao ໑໕໒໐ Burmese ၁၅၂၀

Digit at this position in famous constants

π — Pi (π): Digit 1,520 = 9
e — Euler's number (e): Digit 1,520 = 8
φ — Golden ratio (φ): Digit 1,520 = 1
√2 — Pythagoras's (√2): Digit 1,520 = 6
ln 2 — Natural log of 2: Digit 1,520 = 7
γ — Euler-Mascheroni (γ): Digit 1,520 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1520, here are decompositions:

31 + 1489 = 1520
37 + 1483 = 1520
61 + 1459 = 1520
67 + 1453 = 1520
73 + 1447 = 1520
97 + 1423 = 1520
139 + 1381 = 1520
193 + 1327 = 1520

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Ligature Yiddish Double Vav

U+05F0

Other letter (Lo)

UTF-8 encoding: D7 B0 (2 bytes).

Lookup U+05F0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005F0

RGB(0, 5, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.240.

Address: 0.0.5.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.240

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

Musical pitch

Heard as a frequency, 1,520 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +46¢ — about midway to G6)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -16¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +47¢ — about midway to G♯6)

Food additive (E-number)

On an ingredients label, E1520 is Propylene glycol, an additional additive — a carrier and humectant.

E-number reference (Wikipedia) ↗

Position in π

The digit sequence 1520 first appears in π at position 324 of the decimal expansion (the 324ordinal-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 1520 on Pi Search ↗