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110,040

110,040 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.).

110,040 (one hundred ten thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 131. Its proper divisors sum to 270,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADD8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
40,011
Recamán's sequence
a(249,216) = 110,040
Square (n²)
12,108,801,600
Cube (n³)
1,332,452,528,064,000
Divisor count
64
σ(n) — sum of divisors
380,160
φ(n) — Euler's totient
24,960
Sum of prime factors
152

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 131

Nearest primes: 110,039 (−1) · 110,051 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 131 · 140 · 168 · 210 · 262 · 280 · 393 · 420 · 524 · 655 · 786 · 840 · 917 · 1048 · 1310 · 1572 · 1834 · 1965 · 2620 · 2751 · 3144 · 3668 · 3930 · 4585 · 5240 · 5502 · 7336 · 7860 · 9170 · 11004 · 13755 · 15720 · 18340 · 22008 · 27510 · 36680 · 55020 (half) · 110040
Aliquot sum (sum of proper divisors): 270,120
Factor pairs (a × b = 110,040)
1 × 110040
2 × 55020
3 × 36680
4 × 27510
5 × 22008
6 × 18340
7 × 15720
8 × 13755
10 × 11004
12 × 9170
14 × 7860
15 × 7336
20 × 5502
21 × 5240
24 × 4585
28 × 3930
30 × 3668
35 × 3144
40 × 2751
42 × 2620
56 × 1965
60 × 1834
70 × 1572
84 × 1310
105 × 1048
120 × 917
131 × 840
140 × 786
168 × 655
210 × 524
262 × 420
280 × 393
First multiples
110,040 · 220,080 (double) · 330,120 · 440,160 · 550,200 · 660,240 · 770,280 · 880,320 · 990,360 · 1,100,400

Sums & aliquot sequence

As consecutive integers: 36,679 + 36,680 + 36,681 22,006 + 22,007 + 22,008 + 22,009 + 22,010 15,717 + 15,718 + … + 15,723 7,329 + 7,330 + … + 7,343
Aliquot sequence: 110,040 270,120 540,600 1,267,320 2,620,680 5,241,720 13,000,560 29,437,200 90,195,768 192,326,472 368,628,468 558,925,068 872,074,068 1,163,342,700 2,763,624,708 5,500,456,572 8,321,203,924 — unresolved within range

Continued fraction of √n

√110,040 = [331; (1, 2, 1, 1, 1, 1, 4, 1, 26, 1, 4, 1, 1, 1, 1, 2, 1, 662)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand forty
Ordinal
110040th
Binary
11010110111011000
Octal
326730
Hexadecimal
0x1ADD8
Base64
Aa3Y
One's complement
4,294,857,255 (32-bit)
Scientific notation
1.1004 × 10⁵
As a duration
110,040 s = 1 day, 6 hours, 34 minutes
In other bases
ternary (3) 12120221120
quaternary (4) 122313120
quinary (5) 12010130
senary (6) 2205240
septenary (7) 635550
nonary (9) 176846
undecimal (11) 75747
duodecimal (12) 53820
tridecimal (13) 3b118
tetradecimal (14) 2c160
pentadecimal (15) 22910

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριμʹ
Mayan (base 20)
𝋭·𝋯·𝋢·𝋠
Chinese
一十一萬零四十
Chinese (financial)
壹拾壹萬零肆拾
In other modern scripts
Eastern Arabic ١١٠٠٤٠ Devanagari ११००४० Bengali ১১০০৪০ Tamil ௧௧௦௦௪௦ Thai ๑๑๐๐๔๐ Tibetan ༡༡༠༠༤༠ Khmer ១១០០៤០ Lao ໑໑໐໐໔໐ Burmese ၁၁၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110040, here are decompositions:

  • 17 + 110023 = 110040
  • 23 + 110017 = 110040
  • 53 + 109987 = 110040
  • 79 + 109961 = 110040
  • 97 + 109943 = 110040
  • 103 + 109937 = 110040
  • 127 + 109913 = 110040
  • 137 + 109903 = 110040

Showing the first eight; more decompositions exist.

Hex color
#01ADD8
RGB(1, 173, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.216.

Address
0.1.173.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.173.216

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 110,040 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°.