Live analysis

468,000

468,000 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.).

468,000 (four hundred sixty-eight thousand) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5³ × 13. Its proper divisors sum to 1,320,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72420.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

467,988 467,989 467,990 467,991 467,992 467,993 467,994 467,995 467,996 467,997 467,998 467,999 468,000 468,001 468,002 468,003 468,004 468,005 468,006 468,007 468,008 468,009 468,010 468,011 468,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 864
Square (n²): 219,024,000,000
Cube (n³): 102,503,232,000,000,000
Divisor count: 144
σ(n) — sum of divisors: 1,788,696
φ(n) — Euler's totient: 115,200
Sum of prime factors: 44

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 ³ × 13

Nearest primes: 467,977 (−23) · 468,001 (+1)

Divisors & multiples

All divisors (144)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 25 · 26 · 30 · 32 · 36 · 39 · 40 · 45 · 48 · 50 · 52 · 60 · 65 · 72 · 75 · 78 · 80 · 90 · 96 · 100 · 104 · 117 · 120 · 125 · 130 · 144 · 150 · 156 · 160 · 180 · 195 · 200 · 208 · 225 · 234 · 240 · 250 · 260 · 288 · 300 · 312 · 325 · 360 · 375 · 390 · 400 · 416 · 450 · 468 · 480 · 500 · 520 · 585 · 600 · 624 · 650 · 720 · 750 · 780 · 800 · 900 · 936 · 975 · 1000 · 1040 · 1125 · 1170 · 1200 · 1248 · 1300 · 1440 · 1500 · 1560 · 1625 · 1800 · 1872 · 1950 · 2000 · 2080 · 2250 · 2340 · 2400 · 2600 · 2925 · 3000 · 3120 · 3250 · 3600 · 3744 · 3900 · 4000 · 4500 · 4680 · 4875 · 5200 · 5850 · 6000 · 6240 · 6500 · 7200 · 7800 · 9000 · 9360 · 9750 · 10400 · 11700 · 12000 · 13000 · 14625 · 15600 · 18000 · 18720 · 19500 · 23400 · 26000 · 29250 · 31200 · 36000 · 39000 · 46800 · 52000 · 58500 · 78000 · 93600 · 117000 · 156000 · 234000 (half) · 468000

Aliquot sum (sum of proper divisors): 1,320,696

Factor pairs (a × b = 468,000)

1 × 468000

2 × 234000

3 × 156000

4 × 117000

5 × 93600

6 × 78000

8 × 58500

9 × 52000

10 × 46800

12 × 39000

13 × 36000

15 × 31200

16 × 29250

18 × 26000

20 × 23400

24 × 19500

25 × 18720

26 × 18000

30 × 15600

32 × 14625

36 × 13000

39 × 12000

40 × 11700

45 × 10400

48 × 9750

50 × 9360

52 × 9000

60 × 7800

65 × 7200

72 × 6500

75 × 6240

78 × 6000

80 × 5850

90 × 5200

96 × 4875

100 × 4680

104 × 4500

117 × 4000

120 × 3900

125 × 3744

130 × 3600

144 × 3250

150 × 3120

156 × 3000

160 × 2925

180 × 2600

195 × 2400

200 × 2340

208 × 2250

225 × 2080

234 × 2000

240 × 1950

250 × 1872

260 × 1800

288 × 1625

300 × 1560

312 × 1500

325 × 1440

360 × 1300

375 × 1248

390 × 1200

400 × 1170

416 × 1125

450 × 1040

468 × 1000

480 × 975

500 × 936

520 × 900

585 × 800

600 × 780

624 × 750

650 × 720

First multiples

468,000 · 936,000 (double) · 1,404,000 · 1,872,000 · 2,340,000 · 2,808,000 · 3,276,000 · 3,744,000 · 4,212,000 · 4,680,000

Sums & aliquot sequence

As a sum of two squares: 12² + 684² = 180² + 660² = 252² + 636² = 420² + 540²

As a sum of two cubes: 50³ + 70³

As consecutive integers: 155,999 + 156,000 + 156,001 93,598 + 93,599 + 93,600 + 93,601 + 93,602 51,996 + 51,997 + … + 52,004 35,994 + 35,995 + … + 36,006

Aliquot sequence: 468,000 → 1,320,696 → 2,807,064 → 5,382,936 → 11,143,224 → 21,170,376 → 37,636,824 → 57,181,416 → 85,772,184 → 129,747,816 → 265,190,364 → 405,152,036 → 303,864,034 → 152,364,794 → 76,182,400 → 151,481,600 → 223,474,870 — unresolved within range

Continued fraction of √n

√468,000 = [684; (9, 1, 1, 341, 1, 1, 9, 1368)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred sixty-eight thousand
Ordinal: 468000th
Binary: 1110010010000100000
Octal: 1622040
Hexadecimal: 0x72420
Base64: ByQg
One's complement: 4,294,499,295 (32-bit)
Scientific notation: 4.68 × 10⁵
As a duration: 468,000 s = 5 days, 10 hours

In other bases

ternary (3) 212202222100

quaternary (4) 1302100200

quinary (5) 104434000

senary (6) 14010400

septenary (7) 3656301

nonary (9) 782870

undecimal (11) 29a685

duodecimal (12) 1a6a00

tridecimal (13) 135030

tetradecimal (14) c27a8

pentadecimal (15) 93a00

As an angle

468,000° = 1,300 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 · ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵υξη
Chinese: 四十六萬八千
Chinese (financial): 肆拾陸萬捌仟

In other modern scripts

Eastern Arabic ٤٦٨٠٠٠ Devanagari ४६८००० Bengali ৪৬৮০০০ Tamil ௪௬௮௦௦௦ Thai ๔๖๘๐๐๐ Tibetan ༤༦༨༠༠༠ Khmer ៤៦៨០០០ Lao ໔໖໘໐໐໐ Burmese ၄၆၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 468000, here are decompositions:

23 + 467977 = 468000
37 + 467963 = 468000
47 + 467953 = 468000
59 + 467941 = 468000
73 + 467927 = 468000
97 + 467903 = 468000
101 + 467899 = 468000
103 + 467897 = 468000

Showing the first eight; more decompositions exist.

Hex color

#072420

RGB(7, 36, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.36.32.

Address: 0.7.36.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.36.32

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 468,000 and was likely granted around 1891.

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

Look up US468,000 on Google Patents ↗ Look up on USPTO ↗