Live analysis

108,060

108,060 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.).

108,060 (one hundred eight thousand sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,801. Its proper divisors sum to 194,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A61C.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

108,048 108,049 108,050 108,051 108,052 108,053 108,054 108,055 108,056 108,057 108,058 108,059 108,060 108,061 108,062 108,063 108,064 108,065 108,066 108,067 108,068 108,069 108,070 108,071 108,072

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 60,801
Flips to (rotate 180°): 90,801
Recamán's sequence: a(251,312) = 108,060
Square (n²): 11,676,963,600
Cube (n³): 1,261,812,686,616,000
Divisor count: 24
σ(n) — sum of divisors: 302,736
φ(n) — Euler's totient: 28,800
Sum of prime factors: 1,813

Primality

Prime factorization: 2 ² × 3 × 5 × 1801

Nearest primes: 108,041 (−19) · 108,061 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1801 · 3602 · 5403 · 7204 · 9005 · 10806 · 18010 · 21612 · 27015 · 36020 · 54030 (half) · 108060

Aliquot sum (sum of proper divisors): 194,676

Factor pairs (a × b = 108,060)

1 × 108060

2 × 54030

3 × 36020

4 × 27015

5 × 21612

6 × 18010

10 × 10806

12 × 9005

15 × 7204

20 × 5403

30 × 3602

60 × 1801

First multiples

108,060 · 216,120 (double) · 324,180 · 432,240 · 540,300 · 648,360 · 756,420 · 864,480 · 972,540 · 1,080,600

Sums & aliquot sequence

As consecutive integers: 36,019 + 36,020 + 36,021 21,610 + 21,611 + 21,612 + 21,613 + 21,614 13,504 + 13,505 + … + 13,511 7,197 + 7,198 + … + 7,211

Aliquot sequence: 108,060 → 194,676 → 259,596 → 396,696 → 595,104 → 967,296 → 1,847,904 → 3,003,096 → 4,561,944 → 6,937,896 → 13,239,384 → 20,119,656 → 30,647,544 → 48,044,376 → 82,076,004 → 132,487,730 → 115,585,678 — unresolved within range

Continued fraction of √n

√108,060 = [328; (1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 4, 1, 17, 1, 26, 2, 4, 4, 1, 6, 1, 12, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand sixty
Ordinal: 108060th
Binary: 11010011000011100
Octal: 323034
Hexadecimal: 0x1A61C
Base64: AaYc
One's complement: 4,294,859,235 (32-bit)
Scientific notation: 1.0806 × 10⁵
As a duration: 108,060 s = 1 day, 6 hours, 1 minute

In other bases

ternary (3) 12111020020

quaternary (4) 122120130

quinary (5) 11424220

senary (6) 2152140

septenary (7) 630021

nonary (9) 174206

undecimal (11) 74207

duodecimal (12) 52650

tridecimal (13) 3a254

tetradecimal (14) 2b548

pentadecimal (15) 22040

As an angle

108,060° = 300 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹 ·
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρηξʹ
Mayan (base 20): 𝋭·𝋪·𝋣·𝋠
Chinese: 十萬八千零六十
Chinese (financial): 壹拾萬捌仟零陸拾

In other modern scripts

Eastern Arabic ١٠٨٠٦٠ Devanagari १०८०६० Bengali ১০৮০৬০ Tamil ௧௦௮௦௬௦ Thai ๑๐๘๐๖๐ Tibetan ༡༠༨༠༦༠ Khmer ១០៨០៦០ Lao ໑໐໘໐໖໐ Burmese ၁၀၈၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108060, here are decompositions:

19 + 108041 = 108060
23 + 108037 = 108060
37 + 108023 = 108060
47 + 108013 = 108060
53 + 108007 = 108060
61 + 107999 = 108060
79 + 107981 = 108060
89 + 107971 = 108060

Showing the first eight; more decompositions exist.

Hex color

#01A61C

RGB(1, 166, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.28.

Address: 0.1.166.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.166.28

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 108,060 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 US108,060 on Google Patents ↗ Look up on USPTO ↗