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108,460

108,460 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.).

108,460 (one hundred eight thousand four hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 17 × 29. Its proper divisors sum to 163,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A7AC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
64,801
Square (n²)
11,763,571,600
Cube (n³)
1,275,876,975,736,000
Divisor count
48
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
35,840
Sum of prime factors
66

Primality

Prime factorization: 2 2 × 5 × 11 × 17 × 29

Nearest primes: 108,457 (−3) · 108,461 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 17 · 20 · 22 · 29 · 34 · 44 · 55 · 58 · 68 · 85 · 110 · 116 · 145 · 170 · 187 · 220 · 290 · 319 · 340 · 374 · 493 · 580 · 638 · 748 · 935 · 986 · 1276 · 1595 · 1870 · 1972 · 2465 · 3190 · 3740 · 4930 · 5423 · 6380 · 9860 · 10846 · 21692 · 27115 · 54230 (half) · 108460
Aliquot sum (sum of proper divisors): 163,700
Factor pairs (a × b = 108,460)
1 × 108460
2 × 54230
4 × 27115
5 × 21692
10 × 10846
11 × 9860
17 × 6380
20 × 5423
22 × 4930
29 × 3740
34 × 3190
44 × 2465
55 × 1972
58 × 1870
68 × 1595
85 × 1276
110 × 986
116 × 935
145 × 748
170 × 638
187 × 580
220 × 493
290 × 374
319 × 340
First multiples
108,460 · 216,920 (double) · 325,380 · 433,840 · 542,300 · 650,760 · 759,220 · 867,680 · 976,140 · 1,084,600

Sums & aliquot sequence

As consecutive integers: 21,690 + 21,691 + 21,692 + 21,693 + 21,694 13,554 + 13,555 + … + 13,561 9,855 + 9,856 + … + 9,865 6,372 + 6,373 + … + 6,388
Aliquot sequence: 108,460 → 163,700 → 191,746 → 95,876 → 87,244 → 74,540 → 82,036 → 61,534 → 39,194 → 19,600 → 35,177 → 1,243 → 125 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√108,460 = [329; (3, 164, 3, 658)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand four hundred sixty
Ordinal
108460th
Binary
11010011110101100
Octal
323654
Hexadecimal
0x1A7AC
Base64
Aaes
One's complement
4,294,858,835 (32-bit)
Scientific notation
1.0846 × 10⁵
As a duration
108,460 s = 1 day, 6 hours, 7 minutes, 40 seconds
In other bases
ternary (3) 12111210001
quaternary (4) 122132230
quinary (5) 11432320
senary (6) 2154044
septenary (7) 631132
nonary (9) 174701
undecimal (11) 74540
duodecimal (12) 52924
tridecimal (13) 3a4a1
tetradecimal (14) 2b752
pentadecimal (15) 2220a

As an angle

108,460° = 301 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρηυξʹ
Mayan (base 20)
𝋭·𝋫·𝋣·𝋠
Chinese
十萬八千四百六十
Chinese (financial)
壹拾萬捌仟肆佰陸拾
In other modern scripts
Eastern Arabic ١٠٨٤٦٠ Devanagari १०८४६० Bengali ১০৮৪৬০ Tamil ௧௦௮௪௬௦ Thai ๑๐๘๔๖๐ Tibetan ༡༠༨༤༦༠ Khmer ១០៨៤៦០ Lao ໑໐໘໔໖໐ Burmese ၁၀၈၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108460, here are decompositions:

  • 3 + 108457 = 108460
  • 47 + 108413 = 108460
  • 59 + 108401 = 108460
  • 83 + 108377 = 108460
  • 101 + 108359 = 108460
  • 113 + 108347 = 108460
  • 167 + 108293 = 108460
  • 173 + 108287 = 108460

Showing the first eight; more decompositions exist.

Hex color
#01A7AC
RGB(1, 167, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.172.

Address
0.1.167.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.167.172

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 108,460 and was likely granted around 1870.

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

Position in π

The digit sequence 108460 first appears in π at position 423,821 of the decimal expansion (the 423,821ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading