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115,720

115,720 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.).

115,720 (one hundred fifteen thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 263. Its proper divisors sum to 169,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C408.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
27,511
Recamán's sequence
a(72,847) = 115,720
Square (n²)
13,391,118,400
Cube (n³)
1,549,620,221,248,000
Divisor count
32
σ(n) — sum of divisors
285,120
φ(n) — Euler's totient
41,920
Sum of prime factors
285

Primality

Prime factorization: 2 3 × 5 × 11 × 263

Nearest primes: 115,693 (−27) · 115,727 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 40 · 44 · 55 · 88 · 110 · 220 · 263 · 440 · 526 · 1052 · 1315 · 2104 · 2630 · 2893 · 5260 · 5786 · 10520 · 11572 · 14465 · 23144 · 28930 · 57860 (half) · 115720
Aliquot sum (sum of proper divisors): 169,400
Factor pairs (a × b = 115,720)
1 × 115720
2 × 57860
4 × 28930
5 × 23144
8 × 14465
10 × 11572
11 × 10520
20 × 5786
22 × 5260
40 × 2893
44 × 2630
55 × 2104
88 × 1315
110 × 1052
220 × 526
263 × 440
First multiples
115,720 · 231,440 (double) · 347,160 · 462,880 · 578,600 · 694,320 · 810,040 · 925,760 · 1,041,480 · 1,157,200

Sums & aliquot sequence

As consecutive integers: 23,142 + 23,143 + 23,144 + 23,145 + 23,146 10,515 + 10,516 + … + 10,525 7,225 + 7,226 + … + 7,240 2,077 + 2,078 + … + 2,131
Aliquot sequence: 115,720 169,400 325,360 565,208 646,072 765,128 1,002,232 1,342,088 1,448,632 1,386,008 1,412,872 1,236,278 688,282 502,310 401,866 210,134 116,026 — unresolved within range

Continued fraction of √n

√115,720 = [340; (5, 1, 2, 75, 4, 7, 2, 1, 1, 7, 1, 4, 8, 2, 2, 5, 12, 5, 2, 2, 8, 4, 1, 7, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand seven hundred twenty
Ordinal
115720th
Binary
11100010000001000
Octal
342010
Hexadecimal
0x1C408
Base64
AcQI
One's complement
4,294,851,575 (32-bit)
Scientific notation
1.1572 × 10⁵
As a duration
115,720 s = 1 day, 8 hours, 8 minutes, 40 seconds
In other bases
ternary (3) 12212201221
quaternary (4) 130100020
quinary (5) 12200340
senary (6) 2251424
septenary (7) 661243
nonary (9) 185657
undecimal (11) 79a40
duodecimal (12) 56b74
tridecimal (13) 40897
tetradecimal (14) 3025a
pentadecimal (15) 2444a

As an angle

115,720° = 321 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριεψκʹ
Mayan (base 20)
𝋮·𝋩·𝋦·𝋠
Chinese
一十一萬五千七百二十
Chinese (financial)
壹拾壹萬伍仟柒佰貳拾
In other modern scripts
Eastern Arabic ١١٥٧٢٠ Devanagari ११५७२० Bengali ১১৫৭২০ Tamil ௧௧௫௭௨௦ Thai ๑๑๕๗๒๐ Tibetan ༡༡༥༧༢༠ Khmer ១១៥៧២០ Lao ໑໑໕໗໒໐ Burmese ၁၁၅၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115720, here are decompositions:

  • 41 + 115679 = 115720
  • 83 + 115637 = 115720
  • 89 + 115631 = 115720
  • 107 + 115613 = 115720
  • 131 + 115589 = 115720
  • 149 + 115571 = 115720
  • 167 + 115553 = 115720
  • 173 + 115547 = 115720

Showing the first eight; more decompositions exist.

Hex color
#01C408
RGB(1, 196, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.196.8.

Address
0.1.196.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.196.8

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 115,720 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 115720 first appears in π at position 215,211 of the decimal expansion (the 215,211ordinal-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