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117,040

117,040 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.).

117,040 (one hundred seventeen thousand forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 11 × 19. Its proper divisors sum to 240,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C930.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
40,711
Square (n²)
13,698,361,600
Cube (n³)
1,603,256,241,664,000
Divisor count
80
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
34,560
Sum of prime factors
50

Primality

Prime factorization: 2 4 × 5 × 7 × 11 × 19

Nearest primes: 117,037 (−3) · 117,041 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 16 · 19 · 20 · 22 · 28 · 35 · 38 · 40 · 44 · 55 · 56 · 70 · 76 · 77 · 80 · 88 · 95 · 110 · 112 · 133 · 140 · 152 · 154 · 176 · 190 · 209 · 220 · 266 · 280 · 304 · 308 · 380 · 385 · 418 · 440 · 532 · 560 · 616 · 665 · 760 · 770 · 836 · 880 · 1045 · 1064 · 1232 · 1330 · 1463 · 1520 · 1540 · 1672 · 2090 · 2128 · 2660 · 2926 · 3080 · 3344 · 4180 · 5320 · 5852 · 6160 · 7315 · 8360 · 10640 · 11704 · 14630 · 16720 · 23408 · 29260 · 58520 (half) · 117040
Aliquot sum (sum of proper divisors): 240,080
Factor pairs (a × b = 117,040)
1 × 117040
2 × 58520
4 × 29260
5 × 23408
7 × 16720
8 × 14630
10 × 11704
11 × 10640
14 × 8360
16 × 7315
19 × 6160
20 × 5852
22 × 5320
28 × 4180
35 × 3344
38 × 3080
40 × 2926
44 × 2660
55 × 2128
56 × 2090
70 × 1672
76 × 1540
77 × 1520
80 × 1463
88 × 1330
95 × 1232
110 × 1064
112 × 1045
133 × 880
140 × 836
152 × 770
154 × 760
176 × 665
190 × 616
209 × 560
220 × 532
266 × 440
280 × 418
304 × 385
308 × 380
First multiples
117,040 · 234,080 (double) · 351,120 · 468,160 · 585,200 · 702,240 · 819,280 · 936,320 · 1,053,360 · 1,170,400

Sums & aliquot sequence

As consecutive integers: 23,406 + 23,407 + 23,408 + 23,409 + 23,410 16,717 + 16,718 + … + 16,723 10,635 + 10,636 + … + 10,645 6,151 + 6,152 + … + 6,169
Aliquot sequence: 117,040 240,080 318,292 281,664 551,456 592,624 555,616 555,704 486,256 455,896 539,324 417,940 459,776 461,374 234,794 181,462 90,734 — unresolved within range

Continued fraction of √n

√117,040 = [342; (9, 684)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand forty
Ordinal
117040th
Binary
11100100100110000
Octal
344460
Hexadecimal
0x1C930
Base64
Ackw
One's complement
4,294,850,255 (32-bit)
Scientific notation
1.1704 × 10⁵
As a duration
117,040 s = 1 day, 8 hours, 30 minutes, 40 seconds
In other bases
ternary (3) 12221112211
quaternary (4) 130210300
quinary (5) 12221130
senary (6) 2301504
septenary (7) 665140
nonary (9) 187484
undecimal (11) 7aa30
duodecimal (12) 57894
tridecimal (13) 41371
tetradecimal (14) 30920
pentadecimal (15) 24a2a

As an angle

117,040° = 325 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζμʹ
Mayan (base 20)
𝋮·𝋬·𝋬·𝋠
Chinese
一十一萬七千零四十
Chinese (financial)
壹拾壹萬柒仟零肆拾
In other modern scripts
Eastern Arabic ١١٧٠٤٠ Devanagari ११७०४० Bengali ১১৭০৪০ Tamil ௧௧௭௦௪௦ Thai ๑๑๗๐๔๐ Tibetan ༡༡༧༠༤༠ Khmer ១១៧០៤០ Lao ໑໑໗໐໔໐ Burmese ၁၁၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117040, here are decompositions:

  • 3 + 117037 = 117040
  • 17 + 117023 = 117040
  • 23 + 117017 = 117040
  • 47 + 116993 = 117040
  • 59 + 116981 = 117040
  • 71 + 116969 = 117040
  • 107 + 116933 = 117040
  • 113 + 116927 = 117040

Showing the first eight; more decompositions exist.

Hex color
#01C930
RGB(1, 201, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.48.

Address
0.1.201.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.48

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 117,040 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