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112,840

112,840 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.).

112,840 (one hundred twelve thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 13 × 31. Its proper divisors sum to 209,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B8C8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy 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
48,211
Recamán's sequence
a(52,647) = 112,840
Square (n²)
12,732,865,600
Cube (n³)
1,436,776,554,304,000
Divisor count
64
σ(n) — sum of divisors
322,560
φ(n) — Euler's totient
34,560
Sum of prime factors
62

Primality

Prime factorization: 2 3 × 5 × 7 × 13 × 31

Nearest primes: 112,831 (−9) · 112,843 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 13 · 14 · 20 · 26 · 28 · 31 · 35 · 40 · 52 · 56 · 62 · 65 · 70 · 91 · 104 · 124 · 130 · 140 · 155 · 182 · 217 · 248 · 260 · 280 · 310 · 364 · 403 · 434 · 455 · 520 · 620 · 728 · 806 · 868 · 910 · 1085 · 1240 · 1612 · 1736 · 1820 · 2015 · 2170 · 2821 · 3224 · 3640 · 4030 · 4340 · 5642 · 8060 · 8680 · 11284 · 14105 · 16120 · 22568 · 28210 · 56420 (half) · 112840
Aliquot sum (sum of proper divisors): 209,720
Factor pairs (a × b = 112,840)
1 × 112840
2 × 56420
4 × 28210
5 × 22568
7 × 16120
8 × 14105
10 × 11284
13 × 8680
14 × 8060
20 × 5642
26 × 4340
28 × 4030
31 × 3640
35 × 3224
40 × 2821
52 × 2170
56 × 2015
62 × 1820
65 × 1736
70 × 1612
91 × 1240
104 × 1085
124 × 910
130 × 868
140 × 806
155 × 728
182 × 620
217 × 520
248 × 455
260 × 434
280 × 403
310 × 364
First multiples
112,840 · 225,680 (double) · 338,520 · 451,360 · 564,200 · 677,040 · 789,880 · 902,720 · 1,015,560 · 1,128,400

Sums & aliquot sequence

As consecutive integers: 22,566 + 22,567 + 22,568 + 22,569 + 22,570 16,117 + 16,118 + … + 16,123 8,674 + 8,675 + … + 8,686 7,045 + 7,046 + … + 7,060
Aliquot sequence: 112,840 209,720 344,320 483,500 573,556 436,236 581,676 775,596 1,034,156 775,624 678,686 356,218 209,594 182,662 91,334 45,670 36,554 — unresolved within range

Continued fraction of √n

√112,840 = [335; (1, 10, 1, 670)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand eight hundred forty
Ordinal
112840th
Binary
11011100011001000
Octal
334310
Hexadecimal
0x1B8C8
Base64
AbjI
One's complement
4,294,854,455 (32-bit)
Scientific notation
1.1284 × 10⁵
As a duration
112,840 s = 1 day, 7 hours, 20 minutes, 40 seconds
In other bases
ternary (3) 12201210021
quaternary (4) 123203020
quinary (5) 12102330
senary (6) 2230224
septenary (7) 646660
nonary (9) 181707
undecimal (11) 77862
duodecimal (12) 55374
tridecimal (13) 3c490
tetradecimal (14) 2d1a0
pentadecimal (15) 2367a

As an angle

112,840° = 313 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβωμʹ
Mayan (base 20)
𝋮·𝋢·𝋢·𝋠
Chinese
一十一萬二千八百四十
Chinese (financial)
壹拾壹萬貳仟捌佰肆拾
In other modern scripts
Eastern Arabic ١١٢٨٤٠ Devanagari ११२८४० Bengali ১১২৮৪০ Tamil ௧௧௨௮௪௦ Thai ๑๑๒๘๔๐ Tibetan ༡༡༢༨༤༠ Khmer ១១២៨៤០ Lao ໑໑໒໘໔໐ Burmese ၁၁၂၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112840, here are decompositions:

  • 41 + 112799 = 112840
  • 53 + 112787 = 112840
  • 83 + 112757 = 112840
  • 149 + 112691 = 112840
  • 197 + 112643 = 112840
  • 239 + 112601 = 112840
  • 251 + 112589 = 112840
  • 257 + 112583 = 112840

Showing the first eight; more decompositions exist.

Hex color
#01B8C8
RGB(1, 184, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.200.

Address
0.1.184.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.200

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 112,840 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