Number

1,456

1,456 is a composite number, even, a calendar year.

1,456 (one thousand four hundred fifty-six) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 13. Its proper divisors sum to 2,016, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDLVI and in binary, 10110110000.

Abundant Number Ascending Digits Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,444 1,445 1,446 1,447 1,448 1,449 1,450 1,451 1,452 1,453 1,454 1,455 1,456 1,457 1,458 1,459 1,460 1,461 1,462 1,463 1,464 1,465 1,466 1,467 1,468

less more

Historical context — 1456 AD

Calendar year

Year 1456 (MCDLVI) was a leap year starting on Thursday 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: Tuesday
January 1, 1456
Ended on: Wednesday
December 31, 1456
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1450s
1450–1459
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 570
570 years before 2026.

In other calendars

Hebrew: 5216 / 5217 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 860 / 861 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1999 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 834 / 835 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1448 / 1449 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1378 / 1377 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 120
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 6,541
Recamán's sequence: a(1,648) = 1,456
Square (n²): 2,119,936
Cube (n³): 3,086,626,816
Divisor count: 20
σ(n) — sum of divisors: 3,472
φ(n) — Euler's totient: 576
Sum of prime factors: 28

Primality

Prime factorization: 2 ⁴ × 7 × 13

Nearest primes: 1,453 (−3) · 1,459 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 52 · 56 · 91 · 104 · 112 · 182 · 208 · 364 · 728 (half) · 1456

Aliquot sum (sum of proper divisors): 2,016

Factor pairs (a × b = 1,456)

1 × 1456

2 × 728

4 × 364

7 × 208

8 × 182

13 × 112

14 × 104

16 × 91

26 × 56

28 × 52

First multiples

1,456 · 2,912 (double) · 4,368 · 5,824 · 7,280 · 8,736 · 10,192 · 11,648 · 13,104 · 14,560

Sums & aliquot sequence

As a sum of two cubes: 5³ + 11³

As consecutive integers: 205 + 206 + … + 211 106 + 107 + … + 118 30 + 31 + … + 61

Aliquot sequence: 1,456 → 2,016 → 4,536 → 9,984 → 18,632 → 18,628 → 13,978 → 7,802 → 4,294 → 2,546 → 1,534 → 986 → 634 → 320 → 442 → 314 → 160 — unresolved within range

Continued fraction of √n

√1,456 = [38; (6, 2, 1, 7, 1, 3, 1, 7, 1, 2, 6, 76)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred fifty-six
Ordinal: 1456th
Roman numeral: MCDLVI
Binary: 10110110000
Octal: 2660
Hexadecimal: 0x5B0
Base64: BbA=
One's complement: 64,079 (16-bit)
Scientific notation: 1.456 × 10³
As a duration: 1,456 s = 24 minutes, 16 seconds

In other bases

ternary (3) 1222221

quaternary (4) 112300

quinary (5) 21311

senary (6) 10424

septenary (7) 4150

nonary (9) 1887

undecimal (11) 1104

duodecimal (12) a14

tridecimal (13) 880

tetradecimal (14) 760

pentadecimal (15) 671

Palindromic in base 3

As an angle

1,456° = 4 × 360° + 16°

16° ≈ 0.279 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αυνϛʹ
Mayan (base 20): 𝋣·𝋬·𝋰
Chinese: 一千四百五十六
Chinese (financial): 壹仟肆佰伍拾陸

In other modern scripts

Eastern Arabic ١٤٥٦ Devanagari १४५६ Bengali ১৪৫৬ Tamil ௧௪௫௬ Thai ๑๔๕๖ Tibetan ༡༤༥༦ Khmer ១៤៥៦ Lao ໑໔໕໖ Burmese ၁၄၅၆

Digit at this position in famous constants

π — Pi (π): Digit 1,456 = 6
e — Euler's number (e): Digit 1,456 = 1
φ — Golden ratio (φ): Digit 1,456 = 2
√2 — Pythagoras's (√2): Digit 1,456 = 7
ln 2 — Natural log of 2: Digit 1,456 = 0
γ — Euler-Mascheroni (γ): Digit 1,456 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1456, here are decompositions:

3 + 1453 = 1456
5 + 1451 = 1456
17 + 1439 = 1456
23 + 1433 = 1456
29 + 1427 = 1456
47 + 1409 = 1456
83 + 1373 = 1456
89 + 1367 = 1456

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Point Sheva

U+05B0

Non-spacing mark (Mn)

UTF-8 encoding: D6 B0 (2 bytes).

Lookup U+05B0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005B0

RGB(0, 5, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.176.

Address: 0.0.5.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.176

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

Musical pitch

Heard as a frequency, 1,456 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, -28¢)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, +9¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, -27¢)

Position in π

The digit sequence 1456 first appears in π at position 250 of the decimal expansion (the 250ordinal-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 1456 on Pi Search ↗