Live analysis

112,128

112,128 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.).

112,128 (one hundred twelve thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 3 × 73. Its proper divisors sum to 190,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B600.

Abundant Number Evil Number Frugal Number Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,116 112,117 112,118 112,119 112,120 112,121 112,122 112,123 112,124 112,125 112,126 112,127 112,128 112,129 112,130 112,131 112,132 112,133 112,134 112,135 112,136 112,137 112,138 112,139 112,140

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 32
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 821,211
Recamán's sequence: a(247,044) = 112,128
Square (n²): 12,572,688,384
Cube (n³): 1,409,750,403,121,152
Divisor count: 40
σ(n) — sum of divisors: 302,808
φ(n) — Euler's totient: 36,864
Sum of prime factors: 94

Primality

Prime factorization: 2 ⁹ × 3 × 73

Nearest primes: 112,121 (−7) · 112,129 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 73 · 96 · 128 · 146 · 192 · 219 · 256 · 292 · 384 · 438 · 512 · 584 · 768 · 876 · 1168 · 1536 · 1752 · 2336 · 3504 · 4672 · 7008 · 9344 · 14016 · 18688 · 28032 · 37376 · 56064 (half) · 112128

Aliquot sum (sum of proper divisors): 190,680

Factor pairs (a × b = 112,128)

1 × 112128

2 × 56064

3 × 37376

4 × 28032

6 × 18688

8 × 14016

12 × 9344

16 × 7008

24 × 4672

32 × 3504

48 × 2336

64 × 1752

73 × 1536

96 × 1168

128 × 876

146 × 768

192 × 584

219 × 512

256 × 438

292 × 384

First multiples

112,128 · 224,256 (double) · 336,384 · 448,512 · 560,640 · 672,768 · 784,896 · 897,024 · 1,009,152 · 1,121,280

Sums & aliquot sequence

As consecutive integers: 37,375 + 37,376 + 37,377 1,500 + 1,501 + … + 1,572 403 + 404 + … + 621

Aliquot sequence: 112,128 → 190,680 → 465,960 → 1,063,320 → 2,127,000 → 4,518,600 → 10,346,520 → 20,953,320 → 42,231,000 → 108,427,560 → 216,855,480 → 433,711,320 → 1,053,301,800 → 2,211,935,640 → 4,557,720,360 → 9,115,441,080 → 18,240,872,520 — keeps growing

Continued fraction of √n

√112,128 = [334; (1, 5, 1, 9, 1, 1, 1, 1, 5, 41, 1, 2, 9, 10, 2, 1, 4, 167, 4, 1, 2, 10, 9, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand one hundred twenty-eight
Ordinal: 112128th
Binary: 11011011000000000
Octal: 333000
Hexadecimal: 0x1B600
Base64: AbYA
One's complement: 4,294,855,167 (32-bit)
Scientific notation: 1.12128 × 10⁵
As a duration: 112,128 s = 1 day, 7 hours, 8 minutes, 48 seconds

In other bases

ternary (3) 12200210220

quaternary (4) 123120000

quinary (5) 12042003

senary (6) 2223040

septenary (7) 644622

nonary (9) 180726

undecimal (11) 77275

duodecimal (12) 54a80

tridecimal (13) 3c063

tetradecimal (14) 2cc12

pentadecimal (15) 23353

As an angle

112,128° = 311 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβρκηʹ
Mayan (base 20): 𝋮·𝋠·𝋦·𝋨
Chinese: 一十一萬二千一百二十八
Chinese (financial): 壹拾壹萬貳仟壹佰貳拾捌

In other modern scripts

Eastern Arabic ١١٢١٢٨ Devanagari ११२१२८ Bengali ১১২১২৮ Tamil ௧௧௨௧௨௮ Thai ๑๑๒๑๒๘ Tibetan ༡༡༢༡༢༨ Khmer ១១២១២៨ Lao ໑໑໒໑໒໘ Burmese ၁၁၂၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112128, here are decompositions:

7 + 112121 = 112128
17 + 112111 = 112128
31 + 112097 = 112128
41 + 112087 = 112128
59 + 112069 = 112128
61 + 112067 = 112128
67 + 112061 = 112128
97 + 112031 = 112128

Showing the first eight; more decompositions exist.

Hex color

#01B600

RGB(1, 182, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.0.

Address: 0.1.182.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.182.0

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 112,128 and was likely granted around 1871.

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

Look up US112,128 on Google Patents ↗ Look up on USPTO ↗