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115,040

115,040 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.).

115,040 (one hundred fifteen thousand forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 719. Its proper divisors sum to 157,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C160.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
40,511
Recamán's sequence
a(71,487) = 115,040
Square (n²)
13,234,201,600
Cube (n³)
1,522,462,552,064,000
Divisor count
24
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
45,952
Sum of prime factors
734

Primality

Prime factorization: 2 5 × 5 × 719

Nearest primes: 115,021 (−19) · 115,057 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 719 · 1438 · 2876 · 3595 · 5752 · 7190 · 11504 · 14380 · 23008 · 28760 · 57520 (half) · 115040
Aliquot sum (sum of proper divisors): 157,120
Factor pairs (a × b = 115,040)
1 × 115040
2 × 57520
4 × 28760
5 × 23008
8 × 14380
10 × 11504
16 × 7190
20 × 5752
32 × 3595
40 × 2876
80 × 1438
160 × 719
First multiples
115,040 · 230,080 (double) · 345,120 · 460,160 · 575,200 · 690,240 · 805,280 · 920,320 · 1,035,360 · 1,150,400

Sums & aliquot sequence

As consecutive integers: 23,006 + 23,007 + 23,008 + 23,009 + 23,010 1,766 + 1,767 + … + 1,829 200 + 201 + … + 519
Aliquot sequence: 115,040 157,120 217,784 249,016 245,624 214,936 195,104 284,704 392,672 491,344 633,584 769,600 1,324,884 2,047,884 2,833,524 4,562,956 3,438,044 — unresolved within range

Continued fraction of √n

√115,040 = [339; (5, 1, 2, 3, 9, 3, 1, 9, 1, 2, 8, 4, 8, 2, 1, 9, 1, 3, 9, 3, 2, 1, 5, 678)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand forty
Ordinal
115040th
Binary
11100000101100000
Octal
340540
Hexadecimal
0x1C160
Base64
AcFg
One's complement
4,294,852,255 (32-bit)
Scientific notation
1.1504 × 10⁵
As a duration
115,040 s = 1 day, 7 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 12211210202
quaternary (4) 130011200
quinary (5) 12140130
senary (6) 2244332
septenary (7) 656252
nonary (9) 184722
undecimal (11) 79482
duodecimal (12) 566a8
tridecimal (13) 40493
tetradecimal (14) 2dcd2
pentadecimal (15) 24145
Palindromic in base 14

As an angle

115,040° = 319 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριεμʹ
Mayan (base 20)
𝋮·𝋧·𝋬·𝋠
Chinese
一十一萬五千零四十
Chinese (financial)
壹拾壹萬伍仟零肆拾
In other modern scripts
Eastern Arabic ١١٥٠٤٠ Devanagari ११५०४० Bengali ১১৫০৪০ Tamil ௧௧௫௦௪௦ Thai ๑๑๕๐๔๐ Tibetan ༡༡༥༠༤༠ Khmer ១១៥០៤០ Lao ໑໑໕໐໔໐ Burmese ၁၁၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115040, here are decompositions:

  • 19 + 115021 = 115040
  • 43 + 114997 = 115040
  • 67 + 114973 = 115040
  • 73 + 114967 = 115040
  • 127 + 114913 = 115040
  • 139 + 114901 = 115040
  • 151 + 114889 = 115040
  • 157 + 114883 = 115040

Showing the first eight; more decompositions exist.

Hex color
#01C160
RGB(1, 193, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.96.

Address
0.1.193.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.96

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 115,040 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.