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115,840

115,840 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.).

115,840 (one hundred fifteen thousand eight hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 181. Its proper divisors sum to 162,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C480.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable 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
48,511
Recamán's sequence
a(73,087) = 115,840
Square (n²)
13,418,905,600
Cube (n³)
1,554,446,024,704,000
Divisor count
32
σ(n) — sum of divisors
278,460
φ(n) — Euler's totient
46,080
Sum of prime factors
200

Primality

Prime factorization: 2 7 × 5 × 181

Nearest primes: 115,837 (−3) · 115,849 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 181 · 320 · 362 · 640 · 724 · 905 · 1448 · 1810 · 2896 · 3620 · 5792 · 7240 · 11584 · 14480 · 23168 · 28960 · 57920 (half) · 115840
Aliquot sum (sum of proper divisors): 162,620
Factor pairs (a × b = 115,840)
1 × 115840
2 × 57920
4 × 28960
5 × 23168
8 × 14480
10 × 11584
16 × 7240
20 × 5792
32 × 3620
40 × 2896
64 × 1810
80 × 1448
128 × 905
160 × 724
181 × 640
320 × 362
First multiples
115,840 · 231,680 (double) · 347,520 · 463,360 · 579,200 · 695,040 · 810,880 · 926,720 · 1,042,560 · 1,158,400

Sums & aliquot sequence

As a sum of two squares: 136² + 312² = 168² + 296²
As consecutive integers: 23,166 + 23,167 + 23,168 + 23,169 + 23,170 550 + 551 + … + 730 325 + 326 + … + 580
Aliquot sequence: 115,840 162,620 188,164 141,130 136,214 92,266 46,136 42,664 37,346 19,678 9,842 8,398 6,722 3,364 2,733 915 573 — unresolved within range

Continued fraction of √n

√115,840 = [340; (2, 1, 5, 18, 1, 2, 1, 2, 1, 2, 1, 1, 1, 7, 1, 3, 2, 1, 9, 1, 16, 1, 1, 4, …)]

Representations

In words
one hundred fifteen thousand eight hundred forty
Ordinal
115840th
Binary
11100010010000000
Octal
342200
Hexadecimal
0x1C480
Base64
AcSA
One's complement
4,294,851,455 (32-bit)
Scientific notation
1.1584 × 10⁵
As a duration
115,840 s = 1 day, 8 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 12212220101
quaternary (4) 130102000
quinary (5) 12201330
senary (6) 2252144
septenary (7) 661504
nonary (9) 185811
undecimal (11) 7a03a
duodecimal (12) 57054
tridecimal (13) 4095a
tetradecimal (14) 30304
pentadecimal (15) 244ca

As an angle

115,840° = 321 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριεωμʹ
Mayan (base 20)
𝋮·𝋩·𝋬·𝋠
Chinese
一十一萬五千八百四十
Chinese (financial)
壹拾壹萬伍仟捌佰肆拾
In other modern scripts
Eastern Arabic ١١٥٨٤٠ Devanagari ११५८४० Bengali ১১৫৮৪০ Tamil ௧௧௫௮௪௦ Thai ๑๑๕๘๔๐ Tibetan ༡༡༥༨༤༠ Khmer ១១៥៨៤០ Lao ໑໑໕໘໔໐ Burmese ၁၁၅၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115840, here are decompositions:

  • 3 + 115837 = 115840
  • 17 + 115823 = 115840
  • 29 + 115811 = 115840
  • 47 + 115793 = 115840
  • 59 + 115781 = 115840
  • 71 + 115769 = 115840
  • 83 + 115757 = 115840
  • 89 + 115751 = 115840

Showing the first eight; more decompositions exist.

Hex color
#01C480
RGB(1, 196, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.196.128.

Address
0.1.196.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.196.128

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 115,840 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