Live analysis

968,000

968,000 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.).

968,000 (nine hundred sixty-eight thousand) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 5³ × 11². Its proper divisors sum to 1,666,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC540.

Abundant Number Achilles Number Arithmetic Number Evil Number Flippable Powerful Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

967,988 967,989 967,990 967,991 967,992 967,993 967,994 967,995 967,996 967,997 967,998 967,999 968,000 968,001 968,002 968,003 968,004 968,005 968,006 968,007 968,008 968,009 968,010 968,011 968,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 869
Flips to (rotate 180°): 896
Square (n²): 937,024,000,000
Cube (n³): 907,039,232,000,000,000
Divisor count: 84
σ(n) — sum of divisors: 2,634,996
φ(n) — Euler's totient: 352,000
Sum of prime factors: 49

Primality

Prime factorization: 2 ⁶ × 5 ³ × 11 ²

Nearest primes: 967,999 (−1) · 968,003 (+3)

Divisors & multiples

All divisors (84)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 25 · 32 · 40 · 44 · 50 · 55 · 64 · 80 · 88 · 100 · 110 · 121 · 125 · 160 · 176 · 200 · 220 · 242 · 250 · 275 · 320 · 352 · 400 · 440 · 484 · 500 · 550 · 605 · 704 · 800 · 880 · 968 · 1000 · 1100 · 1210 · 1375 · 1600 · 1760 · 1936 · 2000 · 2200 · 2420 · 2750 · 3025 · 3520 · 3872 · 4000 · 4400 · 4840 · 5500 · 6050 · 7744 · 8000 · 8800 · 9680 · 11000 · 12100 · 15125 · 17600 · 19360 · 22000 · 24200 · 30250 · 38720 · 44000 · 48400 · 60500 · 88000 · 96800 · 121000 · 193600 · 242000 · 484000 (half) · 968000

Aliquot sum (sum of proper divisors): 1,666,996

Factor pairs (a × b = 968,000)

1 × 968000

2 × 484000

4 × 242000

5 × 193600

8 × 121000

10 × 96800

11 × 88000

16 × 60500

20 × 48400

22 × 44000

25 × 38720

32 × 30250

40 × 24200

44 × 22000

50 × 19360

55 × 17600

64 × 15125

80 × 12100

88 × 11000

100 × 9680

110 × 8800

121 × 8000

125 × 7744

160 × 6050

176 × 5500

200 × 4840

220 × 4400

242 × 4000

250 × 3872

275 × 3520

320 × 3025

352 × 2750

400 × 2420

440 × 2200

484 × 2000

500 × 1936

550 × 1760

605 × 1600

704 × 1375

800 × 1210

880 × 1100

968 × 1000

First multiples

968,000 · 1,936,000 (double) · 2,904,000 · 3,872,000 · 4,840,000 · 5,808,000 · 6,776,000 · 7,744,000 · 8,712,000 · 9,680,000

Sums & aliquot sequence

As a sum of two squares: 176² + 968² = 440² + 880²

As consecutive integers: 193,598 + 193,599 + 193,600 + 193,601 + 193,602 87,995 + 87,996 + … + 88,005 38,708 + 38,709 + … + 38,732 17,573 + 17,574 + … + 17,627

Aliquot sequence: 968,000 → 1,666,996 → 1,312,652 → 1,193,404 → 990,484 → 900,524 → 904,636 → 747,476 → 560,614 → 324,626 → 182,296 → 159,524 → 134,476 → 100,864 → 101,690 → 81,370 → 68,390 — unresolved within range

Continued fraction of √n

√968,000 = [983; (1, 6, 1, 2, 5, 7, 2, 491, 2, 7, 5, 2, 1, 6, 1, 1966)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty-eight thousand
Ordinal: 968000th
Binary: 11101100010101000000
Octal: 3542500
Hexadecimal: 0xEC540
Base64: DsVA
One's complement: 4,293,999,295 (32-bit)
Scientific notation: 9.68 × 10⁵
As a duration: 968,000 s = 11 days, 4 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 1211011211212

quaternary (4) 3230111000

quinary (5) 221434000

senary (6) 32425252

septenary (7) 11141105

nonary (9) 1734755

undecimal (11) 601300

duodecimal (12) 3a8228

tridecimal (13) 27b7a7

tetradecimal (14) 1b2aac

pentadecimal (15) 141c35

As an angle

968,000° = 2,688 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ϡξη
Chinese: 九十六萬八千
Chinese (financial): 玖拾陸萬捌仟

In other modern scripts

Eastern Arabic ٩٦٨٠٠٠ Devanagari ९६८००० Bengali ৯৬৮০০০ Tamil ௯௬௮௦௦௦ Thai ๙๖๘๐๐๐ Tibetan ༩༦༨༠༠༠ Khmer ៩៦៨០០០ Lao ໙໖໘໐໐໐ Burmese ၉၆၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 968000, here are decompositions:

97 + 967903 = 968000
127 + 967873 = 968000
157 + 967843 = 968000
181 + 967819 = 968000
307 + 967693 = 968000
337 + 967663 = 968000
373 + 967627 = 968000
433 + 967567 = 968000

Showing the first eight; more decompositions exist.

Hex color

#0EC540

RGB(14, 197, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.197.64.

Address: 0.14.197.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.197.64

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 968,000 and was likely granted around 1910.

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

Look up US968,000 on Google Patents ↗ Look up on USPTO ↗