Live analysis

560,000

560,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

560,000 (five hundred sixty thousand) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁷ × 5⁴ × 7. Its proper divisors sum to 1,033,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x88B80.

Abundant Number Evil Number Frugal Number Gapful Number Practical Number Preferred Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

559,988 559,989 559,990 559,991 559,992 559,993 559,994 559,995 559,996 559,997 559,998 559,999 560,000 560,001 560,002 560,003 560,004 560,005 560,006 560,007 560,008 560,009 560,010 560,011 560,012

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Properties

Parity: Even
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 65
Square (n²): 313,600,000,000
Cube (n³): 175,616,000,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 1,593,240
φ(n) — Euler's totient: 192,000
Sum of prime factors: 41

Primality

Prime factorization: 2 ⁷ × 5 ⁴ × 7

Nearest primes: 559,991 (−9) · 560,017 (+17)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 32 · 35 · 40 · 50 · 56 · 64 · 70 · 80 · 100 · 112 · 125 · 128 · 140 · 160 · 175 · 200 · 224 · 250 · 280 · 320 · 350 · 400 · 448 · 500 · 560 · 625 · 640 · 700 · 800 · 875 · 896 · 1000 · 1120 · 1250 · 1400 · 1600 · 1750 · 2000 · 2240 · 2500 · 2800 · 3200 · 3500 · 4000 · 4375 · 4480 · 5000 · 5600 · 7000 · 8000 · 8750 · 10000 · 11200 · 14000 · 16000 · 17500 · 20000 · 22400 · 28000 · 35000 · 40000 · 56000 · 70000 · 80000 · 112000 · 140000 · 280000 (half) · 560000

Aliquot sum (sum of proper divisors): 1,033,240

Factor pairs (a × b = 560,000)

1 × 560000

2 × 280000

4 × 140000

5 × 112000

7 × 80000

8 × 70000

10 × 56000

14 × 40000

16 × 35000

20 × 28000

25 × 22400

28 × 20000

32 × 17500

35 × 16000

40 × 14000

50 × 11200

56 × 10000

64 × 8750

70 × 8000

80 × 7000

100 × 5600

112 × 5000

125 × 4480

128 × 4375

140 × 4000

160 × 3500

175 × 3200

200 × 2800

224 × 2500

250 × 2240

280 × 2000

320 × 1750

350 × 1600

400 × 1400

448 × 1250

500 × 1120

560 × 1000

625 × 896

640 × 875

700 × 800

First multiples

560,000 · 1,120,000 (double) · 1,680,000 · 2,240,000 · 2,800,000 · 3,360,000 · 3,920,000 · 4,480,000 · 5,040,000 · 5,600,000

Sums & aliquot sequence

As consecutive integers: 111,998 + 111,999 + 112,000 + 112,001 + 112,002 79,997 + 79,998 + … + 80,003 22,388 + 22,389 + … + 22,412 15,983 + 15,984 + … + 16,017

Aliquot sequence: 560,000 → 1,033,240 → 1,471,640 → 1,839,640 → 2,838,920 → 4,461,880 → 5,637,560 → 7,047,040 → 15,743,840 → 26,767,552 → 34,497,248 → 34,867,264 → 37,333,760 → 52,095,328 → 50,467,412 → 38,969,068 → 29,226,808 — unresolved within range

Continued fraction of √n

√560,000 = [748; (3, 59, 1, 1, 7, 59, 1, 2, 1, 2, 1, 59, 7, 1, 1, 59, 3, 1496)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: five hundred sixty thousand
Ordinal: 560000th
Binary: 10001000101110000000
Octal: 2105600
Hexadecimal: 0x88B80
Base64: CIuA
One's complement: 4,294,407,295 (32-bit)
Scientific notation: 5.6 × 10⁵
As a duration: 560,000 s = 6 days, 11 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1001110011202

quaternary (4) 2020232000

quinary (5) 120410000

senary (6) 20000332

septenary (7) 4521440

nonary (9) 1043152

undecimal (11) 352811

duodecimal (12) 2300a8

tridecimal (13) 167b7c

tetradecimal (14) 108120

pentadecimal (15) b0dd5

As an angle

560,000° = 1,555 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍
Greek (Milesian): ͵φξ
Chinese: 五十六萬
Chinese (financial): 伍拾陸萬

In other modern scripts

Eastern Arabic ٥٦٠٠٠٠ Devanagari ५६०००० Bengali ৫৬০০০০ Tamil ௫௬௦௦௦௦ Thai ๕๖๐๐๐๐ Tibetan ༥༦༠༠༠༠ Khmer ៥៦០០០០ Lao ໕໖໐໐໐໐ Burmese ၅၆၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 560000, here are decompositions:

61 + 559939 = 560000
151 + 559849 = 560000
193 + 559807 = 560000
223 + 559777 = 560000
313 + 559687 = 560000
367 + 559633 = 560000
409 + 559591 = 560000
439 + 559561 = 560000

Showing the first eight; more decompositions exist.

Hex color

#088B80

RGB(8, 139, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.139.128.

Address: 0.8.139.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.8.139.128

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 560,000 and was likely granted around 1895.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US560,000 on Google Patents ↗ Look up on USPTO ↗