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115,320

115,320 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.).

115,320 (one hundred fifteen thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5 × 31². Its proper divisors sum to 242,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C278.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence 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
23,511
Recamán's sequence
a(72,047) = 115,320
Square (n²)
13,298,702,400
Cube (n³)
1,533,606,360,768,000
Divisor count
48
σ(n) — sum of divisors
357,480
φ(n) — Euler's totient
29,760
Sum of prime factors
76

Primality

Prime factorization: 2 3 × 3 × 5 × 31 2

Nearest primes: 115,319 (−1) · 115,321 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 31 · 40 · 60 · 62 · 93 · 120 · 124 · 155 · 186 · 248 · 310 · 372 · 465 · 620 · 744 · 930 · 961 · 1240 · 1860 · 1922 · 2883 · 3720 · 3844 · 4805 · 5766 · 7688 · 9610 · 11532 · 14415 · 19220 · 23064 · 28830 · 38440 · 57660 (half) · 115320
Aliquot sum (sum of proper divisors): 242,160
Factor pairs (a × b = 115,320)
1 × 115320
2 × 57660
3 × 38440
4 × 28830
5 × 23064
6 × 19220
8 × 14415
10 × 11532
12 × 9610
15 × 7688
20 × 5766
24 × 4805
30 × 3844
31 × 3720
40 × 2883
60 × 1922
62 × 1860
93 × 1240
120 × 961
124 × 930
155 × 744
186 × 620
248 × 465
310 × 372
First multiples
115,320 · 230,640 (double) · 345,960 · 461,280 · 576,600 · 691,920 · 807,240 · 922,560 · 1,037,880 · 1,153,200

Sums & aliquot sequence

As consecutive integers: 38,439 + 38,440 + 38,441 23,062 + 23,063 + 23,064 + 23,065 + 23,066 7,681 + 7,682 + … + 7,695 7,200 + 7,201 + … + 7,215
Aliquot sequence: 115,320 242,160 509,280 1,096,464 1,796,208 3,048,720 6,403,056 12,012,432 19,019,808 35,068,590 56,109,978 65,461,680 171,308,880 404,005,860 857,512,860 1,543,523,316 2,063,060,364 — unresolved within range

Continued fraction of √n

√115,320 = [339; (1, 1, 2, 2, 1, 13, 6, 2, 5, 2, 1, 1, 5, 8, 1, 3, 7, 1, 4, 1, 4, 1, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand three hundred twenty
Ordinal
115320th
Binary
11100001001111000
Octal
341170
Hexadecimal
0x1C278
Base64
AcJ4
One's complement
4,294,851,975 (32-bit)
Scientific notation
1.1532 × 10⁵
As a duration
115,320 s = 1 day, 8 hours, 2 minutes
In other bases
ternary (3) 12212012010
quaternary (4) 130021320
quinary (5) 12142240
senary (6) 2245520
septenary (7) 660132
nonary (9) 185163
undecimal (11) 79707
duodecimal (12) 568a0
tridecimal (13) 4064a
tetradecimal (14) 30052
pentadecimal (15) 24280

As an angle

115,320° = 320 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριετκʹ
Mayan (base 20)
𝋮·𝋨·𝋦·𝋠
Chinese
一十一萬五千三百二十
Chinese (financial)
壹拾壹萬伍仟參佰貳拾
In other modern scripts
Eastern Arabic ١١٥٣٢٠ Devanagari ११५३२० Bengali ১১৫৩২০ Tamil ௧௧௫௩௨௦ Thai ๑๑๕๓๒๐ Tibetan ༡༡༥༣༢༠ Khmer ១១៥៣២០ Lao ໑໑໕໓໒໐ Burmese ၁၁၅၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115320, here are decompositions:

  • 11 + 115309 = 115320
  • 17 + 115303 = 115320
  • 19 + 115301 = 115320
  • 41 + 115279 = 115320
  • 61 + 115259 = 115320
  • 71 + 115249 = 115320
  • 83 + 115237 = 115320
  • 97 + 115223 = 115320

Showing the first eight; more decompositions exist.

Hex color
#01C278
RGB(1, 194, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.120.

Address
0.1.194.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.194.120

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 115,320 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°.