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109,440

109,440 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.).
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Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
44,901
Square (n²)
11,977,113,600
Cube (n³)
1,310,775,312,384,000
Divisor count
96
σ(n) — sum of divisors
397,800
φ(n) — Euler's totient
27,648
Sum of prime factors
44

Primality

Prime factorization: 2 7 × 3 2 × 5 × 19

Nearest primes: 109,433 (−7) · 109,441 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 19 · 20 · 24 · 30 · 32 · 36 · 38 · 40 · 45 · 48 · 57 · 60 · 64 · 72 · 76 · 80 · 90 · 95 · 96 · 114 · 120 · 128 · 144 · 152 · 160 · 171 · 180 · 190 · 192 · 228 · 240 · 285 · 288 · 304 · 320 · 342 · 360 · 380 · 384 · 456 · 480 · 570 · 576 · 608 · 640 · 684 · 720 · 760 · 855 · 912 · 960 · 1140 · 1152 · 1216 · 1368 · 1440 · 1520 · 1710 · 1824 · 1920 · 2280 · 2432 · 2736 · 2880 · 3040 · 3420 · 3648 · 4560 · 5472 · 5760 · 6080 · 6840 · 7296 · 9120 · 10944 · 12160 · 13680 · 18240 · 21888 · 27360 · 36480 · 54720 (half) · 109440
Aliquot sum (sum of proper divisors): 288,360
Factor pairs (a × b = 109,440)
1 × 109440
2 × 54720
3 × 36480
4 × 27360
5 × 21888
6 × 18240
8 × 13680
9 × 12160
10 × 10944
12 × 9120
15 × 7296
16 × 6840
18 × 6080
19 × 5760
20 × 5472
24 × 4560
30 × 3648
32 × 3420
36 × 3040
38 × 2880
40 × 2736
45 × 2432
48 × 2280
57 × 1920
60 × 1824
64 × 1710
72 × 1520
76 × 1440
80 × 1368
90 × 1216
95 × 1152
96 × 1140
114 × 960
120 × 912
128 × 855
144 × 760
152 × 720
160 × 684
171 × 640
180 × 608
190 × 576
192 × 570
228 × 480
240 × 456
285 × 384
288 × 380
304 × 360
320 × 342
First multiples
109,440 · 218,880 (double) · 328,320 · 437,760 · 547,200 · 656,640 · 766,080 · 875,520 · 984,960 · 1,094,400

Sums & aliquot sequence

As consecutive integers: 36,479 + 36,480 + 36,481 21,886 + 21,887 + 21,888 + 21,889 + 21,890 12,156 + 12,157 + … + 12,164 7,289 + 7,290 + … + 7,303
Aliquot sequence: 109,440 288,360 691,740 1,828,932 3,048,444 5,758,900 9,309,580 13,813,940 19,786,060 30,791,348 30,909,004 32,436,236 34,528,732 36,429,428 39,264,652 39,264,708 65,441,404 — unresolved within range

Continued fraction of √n

√109,440 = [330; (1, 4, 2, 7, 1, 2, 2, 40, 1, 12, 1, 1, 8, 1, 4, 165, 4, 1, 8, 1, 1, 12, 1, 40, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand four hundred forty
Ordinal
109440th
Binary
11010101110000000
Octal
325600
Hexadecimal
0x1AB80
Base64
AauA
One's complement
4,294,857,855 (32-bit)
Scientific notation
1.0944 × 10⁵
As a duration
109,440 s = 1 day, 6 hours, 24 minutes
In other bases
ternary (3) 12120010100
quaternary (4) 122232000
quinary (5) 12000230
senary (6) 2202400
septenary (7) 634032
nonary (9) 176110
undecimal (11) 75251
duodecimal (12) 53400
tridecimal (13) 3aa76
tetradecimal (14) 2bc52
pentadecimal (15) 22660

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρθυμʹ
Mayan (base 20)
𝋭·𝋭·𝋬·𝋠
Chinese
一十萬九千四百四十
Chinese (financial)
壹拾萬玖仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠٩٤٤٠ Devanagari १०९४४० Bengali ১০৯৪৪০ Tamil ௧௦௯௪௪௦ Thai ๑๐๙๔๔๐ Tibetan ༡༠༩༤༤༠ Khmer ១០៩៤៤០ Lao ໑໐໙໔໔໐ Burmese ၁၀၉၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109440, here are decompositions:

  • 7 + 109433 = 109440
  • 17 + 109423 = 109440
  • 43 + 109397 = 109440
  • 53 + 109387 = 109440
  • 61 + 109379 = 109440
  • 73 + 109367 = 109440
  • 83 + 109357 = 109440
  • 109 + 109331 = 109440

Showing the first eight; more decompositions exist.

Hex color
#01AB80
RGB(1, 171, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.171.128.

Address
0.1.171.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.171.128

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 109,440 and was likely granted around 1871.

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