Live analysis

180,000

180,000 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.).

180,000 (one hundred eighty thousand) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁵ × 3² × 5⁴. Its proper divisors sum to 459,639, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2BF20.

Abundant Number Achilles Number Flippable Gapful Number Harshad / Niven Odious Number Powerful Number Practical Number Preferred Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

179,988 179,989 179,990 179,991 179,992 179,993 179,994 179,995 179,996 179,997 179,998 179,999 180,000 180,001 180,002 180,003 180,004 180,005 180,006 180,007 180,008 180,009 180,010 180,011 180,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 81
Flips to (rotate 180°): 81
Square (n²): 32,400,000,000
Cube (n³): 5,832,000,000,000,000
Divisor count: 90
σ(n) — sum of divisors: 639,639
φ(n) — Euler's totient: 48,000
Sum of prime factors: 36

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 ⁴

Nearest primes: 179,999 (−1) · 180,001 (+1)

Divisors & multiples

All divisors (90)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 72 · 75 · 80 · 90 · 96 · 100 · 120 · 125 · 144 · 150 · 160 · 180 · 200 · 225 · 240 · 250 · 288 · 300 · 360 · 375 · 400 · 450 · 480 · 500 · 600 · 625 · 720 · 750 · 800 · 900 · 1000 · 1125 · 1200 · 1250 · 1440 · 1500 · 1800 · 1875 · 2000 · 2250 · 2400 · 2500 · 3000 · 3600 · 3750 · 4000 · 4500 · 5000 · 5625 · 6000 · 7200 · 7500 · 9000 · 10000 · 11250 · 12000 · 15000 · 18000 · 20000 · 22500 · 30000 · 36000 · 45000 · 60000 · 90000 (half) · 180000

Aliquot sum (sum of proper divisors): 459,639

Factor pairs (a × b = 180,000)

1 × 180000

2 × 90000

3 × 60000

4 × 45000

5 × 36000

6 × 30000

8 × 22500

9 × 20000

10 × 18000

12 × 15000

15 × 12000

16 × 11250

18 × 10000

20 × 9000

24 × 7500

25 × 7200

30 × 6000

32 × 5625

36 × 5000

40 × 4500

45 × 4000

48 × 3750

50 × 3600

60 × 3000

72 × 2500

75 × 2400

80 × 2250

90 × 2000

96 × 1875

100 × 1800

120 × 1500

125 × 1440

144 × 1250

150 × 1200

160 × 1125

180 × 1000

200 × 900

225 × 800

240 × 750

250 × 720

288 × 625

300 × 600

360 × 500

375 × 480

400 × 450

First multiples

180,000 · 360,000 (double) · 540,000 · 720,000 · 900,000 · 1,080,000 · 1,260,000 · 1,440,000 · 1,620,000 · 1,800,000

Sums & aliquot sequence

As a sum of two squares: 60² + 420² = 204² + 372² = 300² + 300²

As consecutive integers: 59,999 + 60,000 + 60,001 35,998 + 35,999 + 36,000 + 36,001 + 36,002 19,996 + 19,997 + … + 20,004 11,993 + 11,994 + … + 12,007

Aliquot sequence: 180,000 → 459,639 → 204,297 → 68,103 → 51,705 → 40,455 → 34,425 → 33,093 → 14,721 → 7,743 → 3,057 → 1,023 → 513 → 287 → 49 → 8 → 7 — unresolved within range

Continued fraction of √n

√180,000 = [424; (3, 1, 3, 1, 2, 3, 1, 33, 5, 1, 6, 3, 2, 1, 2, 33, 1, 1, 3, 23, 3, 1, 1, 33, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one hundred eighty thousand
Ordinal: 180000th
Binary: 101011111100100000
Octal: 537440
Hexadecimal: 0x2BF20
Base64: Ar8g
One's complement: 4,294,787,295 (32-bit)
Scientific notation: 1.8 × 10⁵
As a duration: 180,000 s = 2 days, 2 hours

In other bases

ternary (3) 100010220200

quaternary (4) 223330200

quinary (5) 21230000

senary (6) 3505200

septenary (7) 1346532

nonary (9) 303820

undecimal (11) 113267

duodecimal (12) 88200

tridecimal (13) 63c12

tetradecimal (14) 49852

pentadecimal (15) 38500

As an angle

180,000° = 500 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 · ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍
Greek (Milesian): ͵ρπ
Chinese: 一十八萬
Chinese (financial): 壹拾捌萬

In other modern scripts

Eastern Arabic ١٨٠٠٠٠ Devanagari १८०००० Bengali ১৮০০০০ Tamil ௧௮௦௦௦௦ Thai ๑๘๐๐๐๐ Tibetan ༡༨༠༠༠༠ Khmer ១៨០០០០ Lao ໑໘໐໐໐໐ Burmese ၁၈၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180000, here are decompositions:

11 + 179989 = 180000
19 + 179981 = 180000
31 + 179969 = 180000
43 + 179957 = 180000
47 + 179953 = 180000
53 + 179947 = 180000
61 + 179939 = 180000
83 + 179917 = 180000

Showing the first eight; more decompositions exist.

Unicode codepoint

𫼠

CJK Unified Ideograph-2Bf20

U+2BF20

Other letter (Lo)

UTF-8 encoding: F0 AB BC A0 (4 bytes).

Lookup U+2BF20 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02BF20

RGB(2, 191, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.32.

Address: 0.2.191.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.191.32

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 180,000 and was likely granted around 1875.

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

Look up US180,000 on Google Patents ↗ Look up on USPTO ↗