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115,520

115,520 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.).

115,520 (one hundred fifteen thousand five hundred twenty) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 5 × 19². Its proper divisors sum to 174,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C340.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
25,511
Recamán's sequence
a(72,447) = 115,520
Square (n²)
13,344,870,400
Cube (n³)
1,541,599,428,608,000
Divisor count
42
σ(n) — sum of divisors
290,322
φ(n) — Euler's totient
43,776
Sum of prime factors
55

Primality

Prime factorization: 2 6 × 5 × 19 2

Nearest primes: 115,513 (−7) · 115,523 (+3)

Divisors & multiples

All divisors (42)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 32 · 38 · 40 · 64 · 76 · 80 · 95 · 152 · 160 · 190 · 304 · 320 · 361 · 380 · 608 · 722 · 760 · 1216 · 1444 · 1520 · 1805 · 2888 · 3040 · 3610 · 5776 · 6080 · 7220 · 11552 · 14440 · 23104 · 28880 · 57760 (half) · 115520
Aliquot sum (sum of proper divisors): 174,802
Factor pairs (a × b = 115,520)
1 × 115520
2 × 57760
4 × 28880
5 × 23104
8 × 14440
10 × 11552
16 × 7220
19 × 6080
20 × 5776
32 × 3610
38 × 3040
40 × 2888
64 × 1805
76 × 1520
80 × 1444
95 × 1216
152 × 760
160 × 722
190 × 608
304 × 380
320 × 361
First multiples
115,520 · 231,040 (double) · 346,560 · 462,080 · 577,600 · 693,120 · 808,640 · 924,160 · 1,039,680 · 1,155,200

Sums & aliquot sequence

As a sum of two squares: 152² + 304²
As consecutive integers: 23,102 + 23,103 + 23,104 + 23,105 + 23,106 6,071 + 6,072 + … + 6,089 1,169 + 1,170 + … + 1,263 839 + 840 + … + 966
Aliquot sequence: 115,520 174,802 91,310 80,626 68,558 52,402 42,638 21,322 15,254 8,506 4,256 5,824 8,400 22,352 25,264 23,716 29,351 — unresolved within range

Continued fraction of √n

√115,520 = [339; (1, 7, 2, 169, 2, 7, 1, 678)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand five hundred twenty
Ordinal
115520th
Binary
11100001101000000
Octal
341500
Hexadecimal
0x1C340
Base64
AcNA
One's complement
4,294,851,775 (32-bit)
Scientific notation
1.1552 × 10⁵
As a duration
115,520 s = 1 day, 8 hours, 5 minutes, 20 seconds
In other bases
ternary (3) 12212110112
quaternary (4) 130031000
quinary (5) 12144040
senary (6) 2250452
septenary (7) 660536
nonary (9) 185415
undecimal (11) 79879
duodecimal (12) 56a28
tridecimal (13) 40772
tetradecimal (14) 30156
pentadecimal (15) 24365

As an angle

115,520° = 320 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριεφκʹ
Mayan (base 20)
𝋮·𝋨·𝋰·𝋠
Chinese
一十一萬五千五百二十
Chinese (financial)
壹拾壹萬伍仟伍佰貳拾
In other modern scripts
Eastern Arabic ١١٥٥٢٠ Devanagari ११५५२० Bengali ১১৫৫২০ Tamil ௧௧௫௫௨௦ Thai ๑๑๕๕๒๐ Tibetan ༡༡༥༥༢༠ Khmer ១១៥៥២០ Lao ໑໑໕໕໒໐ Burmese ၁၁၅၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115520, here are decompositions:

  • 7 + 115513 = 115520
  • 61 + 115459 = 115520
  • 157 + 115363 = 115520
  • 193 + 115327 = 115520
  • 199 + 115321 = 115520
  • 211 + 115309 = 115520
  • 241 + 115279 = 115520
  • 271 + 115249 = 115520

Showing the first eight; more decompositions exist.

Hex color
#01C340
RGB(1, 195, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.195.64.

Address
0.1.195.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.195.64

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 115,520 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 115520 first appears in π at position 62,030 of the decimal expansion (the 62,030ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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