Live analysis

108,480

108,480 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.).

108,480 (one hundred eight thousand four hundred eighty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 113. Its proper divisors sum to 238,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A7C0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

108,468 108,469 108,470 108,471 108,472 108,473 108,474 108,475 108,476 108,477 108,478 108,479 108,480 108,481 108,482 108,483 108,484 108,485 108,486 108,487 108,488 108,489 108,490 108,491 108,492

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 84,801
Recamán's sequence: a(79,819) = 108,480
Square (n²): 11,767,910,400
Cube (n³): 1,276,582,920,192,000
Divisor count: 56
σ(n) — sum of divisors: 347,472
φ(n) — Euler's totient: 28,672
Sum of prime factors: 133

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 113

Nearest primes: 108,463 (−17) · 108,497 (+17)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 113 · 120 · 160 · 192 · 226 · 240 · 320 · 339 · 452 · 480 · 565 · 678 · 904 · 960 · 1130 · 1356 · 1695 · 1808 · 2260 · 2712 · 3390 · 3616 · 4520 · 5424 · 6780 · 7232 · 9040 · 10848 · 13560 · 18080 · 21696 · 27120 · 36160 · 54240 (half) · 108480

Aliquot sum (sum of proper divisors): 238,992

Factor pairs (a × b = 108,480)

1 × 108480

2 × 54240

3 × 36160

4 × 27120

5 × 21696

6 × 18080

8 × 13560

10 × 10848

12 × 9040

15 × 7232

16 × 6780

20 × 5424

24 × 4520

30 × 3616

32 × 3390

40 × 2712

48 × 2260

60 × 1808

64 × 1695

80 × 1356

96 × 1130

113 × 960

120 × 904

160 × 678

192 × 565

226 × 480

240 × 452

320 × 339

First multiples

108,480 · 216,960 (double) · 325,440 · 433,920 · 542,400 · 650,880 · 759,360 · 867,840 · 976,320 · 1,084,800

Sums & aliquot sequence

As consecutive integers: 36,159 + 36,160 + 36,161 21,694 + 21,695 + 21,696 + 21,697 + 21,698 7,225 + 7,226 + … + 7,239 904 + 905 + … + 1,016

Aliquot sequence: 108,480 → 238,992 → 427,632 → 703,248 → 1,671,600 → 4,478,800 → 6,282,478 → 3,141,242 → 1,933,114 → 966,560 → 1,646,176 → 2,058,224 → 3,084,304 → 3,031,872 → 4,990,464 → 10,600,056 → 20,344,104 — unresolved within range

Continued fraction of √n

√108,480 = [329; (2, 1, 3, 13, 5, 1, 6, 10, 6, 1, 5, 13, 3, 1, 2, 658)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand four hundred eighty
Ordinal: 108480th
Binary: 11010011111000000
Octal: 323700
Hexadecimal: 0x1A7C0
Base64: AafA
One's complement: 4,294,858,815 (32-bit)
Scientific notation: 1.0848 × 10⁵
As a duration: 108,480 s = 1 day, 6 hours, 8 minutes

In other bases

ternary (3) 12111210210

quaternary (4) 122133000

quinary (5) 11432410

senary (6) 2154120

septenary (7) 631161

nonary (9) 174723

undecimal (11) 74559

duodecimal (12) 52940

tridecimal (13) 3a4b8

tetradecimal (14) 2b768

pentadecimal (15) 22220

As an angle

108,480° = 301 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρηυπʹ
Mayan (base 20): 𝋭·𝋫·𝋤·𝋠
Chinese: 十萬八千四百八十
Chinese (financial): 壹拾萬捌仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٨٤٨٠ Devanagari १०८४८० Bengali ১০৮৪৮০ Tamil ௧௦௮௪௮௦ Thai ๑๐๘๔๘๐ Tibetan ༡༠༨༤༨༠ Khmer ១០៨៤៨០ Lao ໑໐໘໔໘໐ Burmese ၁၀၈၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108480, here are decompositions:

17 + 108463 = 108480
19 + 108461 = 108480
23 + 108457 = 108480
41 + 108439 = 108480
59 + 108421 = 108480
67 + 108413 = 108480
79 + 108401 = 108480
101 + 108379 = 108480

Showing the first eight; more decompositions exist.

Hex color

#01A7C0

RGB(1, 167, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.192.

Address: 0.1.167.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.167.192

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 108,480 and was likely granted around 1870.

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

Look up US108,480 on Google Patents ↗ Look up on USPTO ↗