Live analysis

180,240

180,240 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.).

180,240 (one hundred eighty thousand two hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 751. Its proper divisors sum to 379,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C010.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

180,228 180,229 180,230 180,231 180,232 180,233 180,234 180,235 180,236 180,237 180,238 180,239 180,240 180,241 180,242 180,243 180,244 180,245 180,246 180,247 180,248 180,249 180,250 180,251 180,252

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 42,081
Recamán's sequence: a(465,247) = 180,240
Square (n²): 32,486,457,600
Cube (n³): 5,855,359,117,824,000
Divisor count: 40
σ(n) — sum of divisors: 559,488
φ(n) — Euler's totient: 48,000
Sum of prime factors: 767

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 751

Nearest primes: 180,239 (−1) · 180,241 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 751 · 1502 · 2253 · 3004 · 3755 · 4506 · 6008 · 7510 · 9012 · 11265 · 12016 · 15020 · 18024 · 22530 · 30040 · 36048 · 45060 · 60080 · 90120 (half) · 180240

Aliquot sum (sum of proper divisors): 379,248

Factor pairs (a × b = 180,240)

1 × 180240

2 × 90120

3 × 60080

4 × 45060

5 × 36048

6 × 30040

8 × 22530

10 × 18024

12 × 15020

15 × 12016

16 × 11265

20 × 9012

24 × 7510

30 × 6008

40 × 4506

48 × 3755

60 × 3004

80 × 2253

120 × 1502

240 × 751

First multiples

180,240 · 360,480 (double) · 540,720 · 720,960 · 901,200 · 1,081,440 · 1,261,680 · 1,441,920 · 1,622,160 · 1,802,400

Sums & aliquot sequence

As consecutive integers: 60,079 + 60,080 + 60,081 36,046 + 36,047 + 36,048 + 36,049 + 36,050 12,009 + 12,010 + … + 12,023 5,617 + 5,618 + … + 5,648

Aliquot sequence: 180,240 → 379,248 → 600,600 → 1,899,240 → 5,487,960 → 12,656,040 → 25,312,440 → 52,690,920 → 106,207,320 → 212,415,000 → 607,588,140 → 1,093,658,820 → 1,968,586,044 → 2,689,478,724 → 3,585,971,660 → 4,022,207,380 → 4,424,428,160 — unresolved within range

Continued fraction of √n

√180,240 = [424; (1, 1, 4, 1, 5, 4, 19, 17, 3, 1, 1, 1, 1, 1, 1, 2, 1, 6, 3, 2, 2, 9, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one hundred eighty thousand two hundred forty
Ordinal: 180240th
Binary: 101100000000010000
Octal: 540020
Hexadecimal: 0x2C010
Base64: AsAQ
One's complement: 4,294,787,055 (32-bit)
Scientific notation: 1.8024 × 10⁵
As a duration: 180,240 s = 2 days, 2 hours, 4 minutes

In other bases

ternary (3) 100011020120

quaternary (4) 230000100

quinary (5) 21231430

senary (6) 3510240

septenary (7) 1350324

nonary (9) 304216

undecimal (11) 113465

duodecimal (12) 88380

tridecimal (13) 64068

tetradecimal (14) 49984

pentadecimal (15) 38610

As an angle

180,240° = 500 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρπσμʹ
Chinese: 一十八萬零二百四十
Chinese (financial): 壹拾捌萬零貳佰肆拾

In other modern scripts

Eastern Arabic ١٨٠٢٤٠ Devanagari १८०२४० Bengali ১৮০২৪০ Tamil ௧௮௦௨௪௦ Thai ๑๘๐๒๔๐ Tibetan ༡༨༠༢༤༠ Khmer ១៨០២៤០ Lao ໑໘໐໒໔໐ Burmese ၁၈၀၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180240, here are decompositions:

7 + 180233 = 180240
19 + 180221 = 180240
29 + 180211 = 180240
59 + 180181 = 180240
61 + 180179 = 180240
79 + 180161 = 180240
103 + 180137 = 180240
163 + 180077 = 180240

Showing the first eight; more decompositions exist.

Unicode codepoint

𬀐

CJK Unified Ideograph-2C010

U+2C010

Other letter (Lo)

UTF-8 encoding: F0 AC 80 90 (4 bytes).

Lookup U+2C010 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02C010

RGB(2, 192, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.192.16.

Address: 0.2.192.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.192.16

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 180,240 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 US180,240 on Google Patents ↗ Look up on USPTO ↗