Number

1,060

1,060 is a composite number, even, a calendar year.

1,060 (one thousand sixty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 53. Its proper divisors sum to 1,208, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MLX and in binary, 10000100100.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,048 1,049 1,050 1,051 1,052 1,053 1,054 1,055 1,056 1,057 1,058 1,059 1,060 1,061 1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072

less more

Historical context — 1060 AD

Calendar year

Year 1060 (MLX) 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: 52
Started on: Sunday
January 1, 1060
Ended on: Monday
December 31, 1060
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1060s
1060–1069
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 966
966 years before 2026.

In other calendars

Hebrew: 4820 / 4821 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 451 / 452 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: 1603 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 438 / 439 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1052 / 1053 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 982 / 981 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 601
Flips to (rotate 180°): 901
Recamán's sequence: a(4,299) = 1,060
Square (n²): 1,123,600
Cube (n³): 1,191,016,000
Divisor count: 12
σ(n) — sum of divisors: 2,268
φ(n) — Euler's totient: 416
Sum of prime factors: 62

Primality

Prime factorization: 2 ² × 5 × 53

Nearest primes: 1,051 (−9) · 1,061 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 53 · 106 · 212 · 265 · 530 (half) · 1060

Aliquot sum (sum of proper divisors): 1,208

Factor pairs (a × b = 1,060)

1 × 1060

2 × 530

4 × 265

5 × 212

10 × 106

20 × 53

First multiples

1,060 · 2,120 (double) · 3,180 · 4,240 · 5,300 · 6,360 · 7,420 · 8,480 · 9,540 · 10,600

Sums & aliquot sequence

As a sum of two squares: 6² + 32² = 22² + 24²

As consecutive integers: 210 + 211 + 212 + 213 + 214 129 + 130 + … + 136 7 + 8 + … + 46

Aliquot sequence: 1,060 → 1,208 → 1,072 → 1,036 → 1,092 → 2,044 → 2,100 → 4,844 → 4,900 → 7,469 → 1,939 → 285 → 195 → 141 → 51 → 21 → 11 — unresolved within range

Continued fraction of √n

√1,060 = [32; (1, 1, 3, 1, 5, 7, 16, 7, 5, 1, 3, 1, 1, 64)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand sixty
Ordinal: 1060th
Roman numeral: MLX
Binary: 10000100100
Octal: 2044
Hexadecimal: 0x424
Base64: BCQ=
One's complement: 64,475 (16-bit)
Scientific notation: 1.06 × 10³
As a duration: 1,060 s = 17 minutes, 40 seconds

In other bases

ternary (3) 1110021

quaternary (4) 100210

quinary (5) 13220

senary (6) 4524

septenary (7) 3043

nonary (9) 1407

undecimal (11) 884

duodecimal (12) 744

tridecimal (13) 637

tetradecimal (14) 55a

pentadecimal (15) 4aa

Palindromic in base 16

As an angle

1,060° = 2 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αξʹ
Mayan (base 20): 𝋢·𝋭·𝋠
Chinese: 一千零六十
Chinese (financial): 壹仟零陸拾

In other modern scripts

Eastern Arabic ١٠٦٠ Devanagari १०६० Bengali ১০৬০ Tamil ௧௦௬௦ Thai ๑๐๖๐ Tibetan ༡༠༦༠ Khmer ១០៦០ Lao ໑໐໖໐ Burmese ၁၀၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,060 = 2
e — Euler's number (e): Digit 1,060 = 3
φ — Golden ratio (φ): Digit 1,060 = 9
√2 — Pythagoras's (√2): Digit 1,060 = 0
ln 2 — Natural log of 2: Digit 1,060 = 0
γ — Euler-Mascheroni (γ): Digit 1,060 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1060, here are decompositions:

11 + 1049 = 1060
29 + 1031 = 1060
41 + 1019 = 1060
47 + 1013 = 1060
83 + 977 = 1060
89 + 971 = 1060
107 + 953 = 1060
113 + 947 = 1060

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Ef

U+0424

Uppercase letter (Lu)

UTF-8 encoding: D0 A4 (2 bytes).

Lookup U+0424 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000424

RGB(0, 4, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.36.

Address: 0.0.4.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.36

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

Musical pitch

Heard as a frequency, 1,060 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +22¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -40¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +23¢)

Position in π

The digit sequence 1060 first appears in π at position 13,736 of the decimal expansion (the 13,736ordinal-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 1060 on Pi Search ↗