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115,940

115,940 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.).

115,940 (one hundred fifteen thousand nine hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 17 × 31. Its proper divisors sum to 174,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C4E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
49,511
Recamán's sequence
a(73,287) = 115,940
Square (n²)
13,442,083,600
Cube (n³)
1,558,475,172,584,000
Divisor count
48
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
38,400
Sum of prime factors
68

Primality

Prime factorization: 2 2 × 5 × 11 × 17 × 31

Nearest primes: 115,933 (−7) · 115,963 (+23)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 17 · 20 · 22 · 31 · 34 · 44 · 55 · 62 · 68 · 85 · 110 · 124 · 155 · 170 · 187 · 220 · 310 · 340 · 341 · 374 · 527 · 620 · 682 · 748 · 935 · 1054 · 1364 · 1705 · 1870 · 2108 · 2635 · 3410 · 3740 · 5270 · 5797 · 6820 · 10540 · 11594 · 23188 · 28985 · 57970 (half) · 115940
Aliquot sum (sum of proper divisors): 174,364
Factor pairs (a × b = 115,940)
1 × 115940
2 × 57970
4 × 28985
5 × 23188
10 × 11594
11 × 10540
17 × 6820
20 × 5797
22 × 5270
31 × 3740
34 × 3410
44 × 2635
55 × 2108
62 × 1870
68 × 1705
85 × 1364
110 × 1054
124 × 935
155 × 748
170 × 682
187 × 620
220 × 527
310 × 374
340 × 341
First multiples
115,940 · 231,880 (double) · 347,820 · 463,760 · 579,700 · 695,640 · 811,580 · 927,520 · 1,043,460 · 1,159,400

Sums & aliquot sequence

As consecutive integers: 23,186 + 23,187 + 23,188 + 23,189 + 23,190 14,489 + 14,490 + … + 14,496 10,535 + 10,536 + … + 10,545 6,812 + 6,813 + … + 6,828
Aliquot sequence: 115,940 174,364 130,780 165,572 161,020 184,724 138,550 135,986 67,996 52,964 39,730 34,790 39,082 19,544 22,456 25,784 27,136 — unresolved within range

Continued fraction of √n

√115,940 = [340; (2, 680)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand nine hundred forty
Ordinal
115940th
Binary
11100010011100100
Octal
342344
Hexadecimal
0x1C4E4
Base64
AcTk
One's complement
4,294,851,355 (32-bit)
Scientific notation
1.1594 × 10⁵
As a duration
115,940 s = 1 day, 8 hours, 12 minutes, 20 seconds
In other bases
ternary (3) 12220001002
quaternary (4) 130103210
quinary (5) 12202230
senary (6) 2252432
septenary (7) 662006
nonary (9) 186032
undecimal (11) 7a120
duodecimal (12) 57118
tridecimal (13) 40a06
tetradecimal (14) 30376
pentadecimal (15) 24545

As an angle

115,940° = 322 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριεϡμʹ
Mayan (base 20)
𝋮·𝋩·𝋱·𝋠
Chinese
一十一萬五千九百四十
Chinese (financial)
壹拾壹萬伍仟玖佰肆拾
In other modern scripts
Eastern Arabic ١١٥٩٤٠ Devanagari ११५९४० Bengali ১১৫৯৪০ Tamil ௧௧௫௯௪௦ Thai ๑๑๕๙๔๐ Tibetan ༡༡༥༩༤༠ Khmer ១១៥៩៤០ Lao ໑໑໕໙໔໐ Burmese ၁၁၅၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115940, here are decompositions:

  • 7 + 115933 = 115940
  • 37 + 115903 = 115940
  • 61 + 115879 = 115940
  • 67 + 115873 = 115940
  • 79 + 115861 = 115940
  • 103 + 115837 = 115940
  • 109 + 115831 = 115940
  • 157 + 115783 = 115940

Showing the first eight; more decompositions exist.

Hex color
#01C4E4
RGB(1, 196, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.196.228.

Address
0.1.196.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.196.228

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 115,940 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.