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112,560

112,560 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.).

112,560 (one hundred twelve thousand five hundred sixty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 67. Its proper divisors sum to 292,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B7B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Pronic / Oblong Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
65,211
Square (n²)
12,669,753,600
Cube (n³)
1,426,107,465,216,000
Divisor count
80
σ(n) — sum of divisors
404,736
φ(n) — Euler's totient
25,344
Sum of prime factors
90

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 67

Nearest primes: 112,559 (−1) · 112,571 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 67 · 70 · 80 · 84 · 105 · 112 · 120 · 134 · 140 · 168 · 201 · 210 · 240 · 268 · 280 · 335 · 336 · 402 · 420 · 469 · 536 · 560 · 670 · 804 · 840 · 938 · 1005 · 1072 · 1340 · 1407 · 1608 · 1680 · 1876 · 2010 · 2345 · 2680 · 2814 · 3216 · 3752 · 4020 · 4690 · 5360 · 5628 · 7035 · 7504 · 8040 · 9380 · 11256 · 14070 · 16080 · 18760 · 22512 · 28140 · 37520 · 56280 (half) · 112560
Aliquot sum (sum of proper divisors): 292,176
Factor pairs (a × b = 112,560)
1 × 112560
2 × 56280
3 × 37520
4 × 28140
5 × 22512
6 × 18760
7 × 16080
8 × 14070
10 × 11256
12 × 9380
14 × 8040
15 × 7504
16 × 7035
20 × 5628
21 × 5360
24 × 4690
28 × 4020
30 × 3752
35 × 3216
40 × 2814
42 × 2680
48 × 2345
56 × 2010
60 × 1876
67 × 1680
70 × 1608
80 × 1407
84 × 1340
105 × 1072
112 × 1005
120 × 938
134 × 840
140 × 804
168 × 670
201 × 560
210 × 536
240 × 469
268 × 420
280 × 402
335 × 336
First multiples
112,560 · 225,120 (double) · 337,680 · 450,240 · 562,800 · 675,360 · 787,920 · 900,480 · 1,013,040 · 1,125,600

Sums & aliquot sequence

As consecutive integers: 37,519 + 37,520 + 37,521 22,510 + 22,511 + 22,512 + 22,513 + 22,514 16,077 + 16,078 + … + 16,083 7,497 + 7,498 + … + 7,511
Aliquot sequence: 112,560 292,176 525,914 262,960 384,320 531,604 403,820 460,708 351,992 337,048 294,932 268,204 225,996 316,644 422,220 803,508 1,071,372 — unresolved within range

Continued fraction of √n

√112,560 = [335; (2, 670)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand five hundred sixty
Ordinal
112560th
Binary
11011011110110000
Octal
333660
Hexadecimal
0x1B7B0
Base64
Abew
One's complement
4,294,854,735 (32-bit)
Scientific notation
1.1256 × 10⁵
As a duration
112,560 s = 1 day, 7 hours, 16 minutes
In other bases
ternary (3) 12201101220
quaternary (4) 123132300
quinary (5) 12100220
senary (6) 2225040
septenary (7) 646110
nonary (9) 181356
undecimal (11) 77628
duodecimal (12) 55180
tridecimal (13) 3c306
tetradecimal (14) 2d040
pentadecimal (15) 23540

As an angle

112,560° = 312 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβφξʹ
Mayan (base 20)
𝋮·𝋡·𝋨·𝋠
Chinese
一十一萬二千五百六十
Chinese (financial)
壹拾壹萬貳仟伍佰陸拾
In other modern scripts
Eastern Arabic ١١٢٥٦٠ Devanagari ११२५६० Bengali ১১২৫৬০ Tamil ௧௧௨௫௬௦ Thai ๑๑๒๕๖๐ Tibetan ༡༡༢༥༦༠ Khmer ១១២៥៦០ Lao ໑໑໒໕໖໐ Burmese ၁၁၂၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112560, here are decompositions:

  • 17 + 112543 = 112560
  • 53 + 112507 = 112560
  • 59 + 112501 = 112560
  • 79 + 112481 = 112560
  • 101 + 112459 = 112560
  • 131 + 112429 = 112560
  • 157 + 112403 = 112560
  • 163 + 112397 = 112560

Showing the first eight; more decompositions exist.

Hex color
#01B7B0
RGB(1, 183, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.176.

Address
0.1.183.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.176

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 112,560 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°.