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110,940

110,940 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.).

110,940 (one hundred ten thousand nine hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5 × 43². Its proper divisors sum to 207,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B15C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
49,011
Recamán's sequence
a(49,359) = 110,940
Square (n²)
12,307,683,600
Cube (n³)
1,365,414,418,584,000
Divisor count
36
σ(n) — sum of divisors
318,024
φ(n) — Euler's totient
28,896
Sum of prime factors
98

Primality

Prime factorization: 2 2 × 3 × 5 × 43 2

Nearest primes: 110,939 (−1) · 110,947 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 43 · 60 · 86 · 129 · 172 · 215 · 258 · 430 · 516 · 645 · 860 · 1290 · 1849 · 2580 · 3698 · 5547 · 7396 · 9245 · 11094 · 18490 · 22188 · 27735 · 36980 · 55470 (half) · 110940
Aliquot sum (sum of proper divisors): 207,084
Factor pairs (a × b = 110,940)
1 × 110940
2 × 55470
3 × 36980
4 × 27735
5 × 22188
6 × 18490
10 × 11094
12 × 9245
15 × 7396
20 × 5547
30 × 3698
43 × 2580
60 × 1849
86 × 1290
129 × 860
172 × 645
215 × 516
258 × 430
First multiples
110,940 · 221,880 (double) · 332,820 · 443,760 · 554,700 · 665,640 · 776,580 · 887,520 · 998,460 · 1,109,400

Sums & aliquot sequence

As consecutive integers: 36,979 + 36,980 + 36,981 22,186 + 22,187 + 22,188 + 22,189 + 22,190 13,864 + 13,865 + … + 13,871 7,389 + 7,390 + … + 7,403
Aliquot sequence: 110,940 207,084 276,140 303,796 238,256 223,396 167,554 83,780 97,660 119,060 131,008 143,312 163,030 194,666 99,958 63,338 40,342 — unresolved within range

Continued fraction of √n

√110,940 = [333; (13, 16, 1, 1, 2, 1, 3, 166, 3, 1, 2, 1, 1, 16, 13, 666)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand nine hundred forty
Ordinal
110940th
Binary
11011000101011100
Octal
330534
Hexadecimal
0x1B15C
Base64
AbFc
One's complement
4,294,856,355 (32-bit)
Scientific notation
1.1094 × 10⁵
As a duration
110,940 s = 1 day, 6 hours, 49 minutes
In other bases
ternary (3) 12122011220
quaternary (4) 123011130
quinary (5) 12022230
senary (6) 2213340
septenary (7) 641304
nonary (9) 178156
undecimal (11) 76395
duodecimal (12) 54250
tridecimal (13) 3b65b
tetradecimal (14) 2c604
pentadecimal (15) 22d10

As an angle

110,940° = 308 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριϡμʹ
Mayan (base 20)
𝋭·𝋱·𝋧·𝋠
Chinese
一十一萬零九百四十
Chinese (financial)
壹拾壹萬零玖佰肆拾
In other modern scripts
Eastern Arabic ١١٠٩٤٠ Devanagari ११०९४० Bengali ১১০৯৪০ Tamil ௧௧௦௯௪௦ Thai ๑๑๐๙๔๐ Tibetan ༡༡༠༩༤༠ Khmer ១១០៩៤០ Lao ໑໑໐໙໔໐ Burmese ၁၁၀၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110940, here are decompositions:

  • 7 + 110933 = 110940
  • 13 + 110927 = 110940
  • 17 + 110923 = 110940
  • 19 + 110921 = 110940
  • 23 + 110917 = 110940
  • 31 + 110909 = 110940
  • 41 + 110899 = 110940
  • 59 + 110881 = 110940

Showing the first eight; more decompositions exist.

Hex color
#01B15C
RGB(1, 177, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.92.

Address
0.1.177.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.92

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 110,940 and was likely granted around 1871.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.