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112,288

112,288 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.).

112,288 (one hundred twelve thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 11² × 29. Its proper divisors sum to 139,082, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B6A0.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
256
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
882,211
Recamán's sequence
a(246,824) = 112,288
Square (n²)
12,608,594,944
Cube (n³)
1,415,793,909,071,872
Divisor count
36
σ(n) — sum of divisors
251,370
φ(n) — Euler's totient
49,280
Sum of prime factors
61

Primality

Prime factorization: 2 5 × 11 2 × 29

Nearest primes: 112,279 (−9) · 112,289 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 29 · 32 · 44 · 58 · 88 · 116 · 121 · 176 · 232 · 242 · 319 · 352 · 464 · 484 · 638 · 928 · 968 · 1276 · 1936 · 2552 · 3509 · 3872 · 5104 · 7018 · 10208 · 14036 · 28072 · 56144 (half) · 112288
Aliquot sum (sum of proper divisors): 139,082
Factor pairs (a × b = 112,288)
1 × 112288
2 × 56144
4 × 28072
8 × 14036
11 × 10208
16 × 7018
22 × 5104
29 × 3872
32 × 3509
44 × 2552
58 × 1936
88 × 1276
116 × 968
121 × 928
176 × 638
232 × 484
242 × 464
319 × 352
First multiples
112,288 · 224,576 (double) · 336,864 · 449,152 · 561,440 · 673,728 · 786,016 · 898,304 · 1,010,592 · 1,122,880

Sums & aliquot sequence

As a sum of two squares: 132² + 308²
As consecutive integers: 10,203 + 10,204 + … + 10,213 3,858 + 3,859 + … + 3,886 1,723 + 1,724 + … + 1,786 868 + 869 + … + 988
Aliquot sequence: 112,288 139,082 71,194 35,600 50,890 53,942 38,554 20,954 10,480 14,072 12,328 12,152 15,208 13,322 6,664 8,726 4,366 — unresolved within range

Continued fraction of √n

√112,288 = [335; (10, 1, 1, 1, 3, 167, 3, 1, 1, 1, 10, 670)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand two hundred eighty-eight
Ordinal
112288th
Binary
11011011010100000
Octal
333240
Hexadecimal
0x1B6A0
Base64
Abag
One's complement
4,294,855,007 (32-bit)
Scientific notation
1.12288 × 10⁵
As a duration
112,288 s = 1 day, 7 hours, 11 minutes, 28 seconds
In other bases
ternary (3) 12201000211
quaternary (4) 123122200
quinary (5) 12043123
senary (6) 2223504
septenary (7) 645241
nonary (9) 181024
undecimal (11) 77400
duodecimal (12) 54b94
tridecimal (13) 3c157
tetradecimal (14) 2ccc8
pentadecimal (15) 2340d

As an angle

112,288° = 311 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβσπηʹ
Mayan (base 20)
𝋮·𝋠·𝋮·𝋨
Chinese
一十一萬二千二百八十八
Chinese (financial)
壹拾壹萬貳仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١١٢٢٨٨ Devanagari ११२२८८ Bengali ১১২২৮৮ Tamil ௧௧௨௨௮௮ Thai ๑๑๒๒๘๘ Tibetan ༡༡༢༢༨༨ Khmer ១១២២៨៨ Lao ໑໑໒໒໘໘ Burmese ၁၁၂၂၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112288, here are decompositions:

  • 41 + 112247 = 112288
  • 47 + 112241 = 112288
  • 89 + 112199 = 112288
  • 107 + 112181 = 112288
  • 149 + 112139 = 112288
  • 167 + 112121 = 112288
  • 191 + 112097 = 112288
  • 227 + 112061 = 112288

Showing the first eight; more decompositions exist.

Hex color
#01B6A0
RGB(1, 182, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.160.

Address
0.1.182.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.160

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 112,288 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