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115,104

115,104 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.).

115,104 (one hundred fifteen thousand one hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 109. Its proper divisors sum to 217,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C1A0.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
401,511
Recamán's sequence
a(71,615) = 115,104
Square (n²)
13,248,930,816
Cube (n³)
1,525,004,932,644,864
Divisor count
48
σ(n) — sum of divisors
332,640
φ(n) — Euler's totient
34,560
Sum of prime factors
133

Primality

Prime factorization: 2 5 × 3 × 11 × 109

Nearest primes: 115,099 (−5) · 115,117 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 109 · 132 · 176 · 218 · 264 · 327 · 352 · 436 · 528 · 654 · 872 · 1056 · 1199 · 1308 · 1744 · 2398 · 2616 · 3488 · 3597 · 4796 · 5232 · 7194 · 9592 · 10464 · 14388 · 19184 · 28776 · 38368 · 57552 (half) · 115104
Aliquot sum (sum of proper divisors): 217,536
Factor pairs (a × b = 115,104)
1 × 115104
2 × 57552
3 × 38368
4 × 28776
6 × 19184
8 × 14388
11 × 10464
12 × 9592
16 × 7194
22 × 5232
24 × 4796
32 × 3597
33 × 3488
44 × 2616
48 × 2398
66 × 1744
88 × 1308
96 × 1199
109 × 1056
132 × 872
176 × 654
218 × 528
264 × 436
327 × 352
First multiples
115,104 · 230,208 (double) · 345,312 · 460,416 · 575,520 · 690,624 · 805,728 · 920,832 · 1,035,936 · 1,151,040

Sums & aliquot sequence

As consecutive integers: 38,367 + 38,368 + 38,369 10,459 + 10,460 + … + 10,469 3,472 + 3,473 + … + 3,504 1,767 + 1,768 + … + 1,830
Aliquot sequence: 115,104 217,536 416,448 812,912 866,296 758,024 738,376 646,094 349,354 188,954 94,480 125,372 111,004 83,260 100,196 80,152 74,288 — unresolved within range

Continued fraction of √n

√115,104 = [339; (3, 1, 2, 2, 2, 6, 2, 1, 2, 6, 2, 2, 2, 1, 3, 678)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand one hundred four
Ordinal
115104th
Binary
11100000110100000
Octal
340640
Hexadecimal
0x1C1A0
Base64
AcGg
One's complement
4,294,852,191 (32-bit)
Scientific notation
1.15104 × 10⁵
As a duration
115,104 s = 1 day, 7 hours, 58 minutes, 24 seconds
In other bases
ternary (3) 12211220010
quaternary (4) 130012200
quinary (5) 12140404
senary (6) 2244520
septenary (7) 656403
nonary (9) 184803
undecimal (11) 79530
duodecimal (12) 56740
tridecimal (13) 40512
tetradecimal (14) 2dd3a
pentadecimal (15) 24189

As an angle

115,104° = 319 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριερδʹ
Mayan (base 20)
𝋮·𝋧·𝋯·𝋤
Chinese
一十一萬五千一百零四
Chinese (financial)
壹拾壹萬伍仟壹佰零肆
In other modern scripts
Eastern Arabic ١١٥١٠٤ Devanagari ११५१०४ Bengali ১১৫১০৪ Tamil ௧௧௫௧௦௪ Thai ๑๑๕๑๐๔ Tibetan ༡༡༥༡༠༤ Khmer ១១៥១០៤ Lao ໑໑໕໑໐໔ Burmese ၁၁၅၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115104, here are decompositions:

  • 5 + 115099 = 115104
  • 37 + 115067 = 115104
  • 43 + 115061 = 115104
  • 47 + 115057 = 115104
  • 83 + 115021 = 115104
  • 103 + 115001 = 115104
  • 107 + 114997 = 115104
  • 131 + 114973 = 115104

Showing the first eight; more decompositions exist.

Hex color
#01C1A0
RGB(1, 193, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.160.

Address
0.1.193.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.160

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 115,104 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.