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112,816

112,816 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.).

112,816 (one hundred twelve thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 641. Its proper divisors sum to 126,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B8B0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
96
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
618,211
Square (n²)
12,727,449,856
Cube (n³)
1,435,859,982,954,496
Divisor count
20
σ(n) — sum of divisors
238,824
φ(n) — Euler's totient
51,200
Sum of prime factors
660

Primality

Prime factorization: 2 4 × 11 × 641

Nearest primes: 112,807 (−9) · 112,831 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 641 · 1282 · 2564 · 5128 · 7051 · 10256 · 14102 · 28204 · 56408 (half) · 112816
Aliquot sum (sum of proper divisors): 126,008
Factor pairs (a × b = 112,816)
1 × 112816
2 × 56408
4 × 28204
8 × 14102
11 × 10256
16 × 7051
22 × 5128
44 × 2564
88 × 1282
176 × 641
First multiples
112,816 · 225,632 (double) · 338,448 · 451,264 · 564,080 · 676,896 · 789,712 · 902,528 · 1,015,344 · 1,128,160

Sums & aliquot sequence

As consecutive integers: 10,251 + 10,252 + … + 10,261 3,510 + 3,511 + … + 3,541 145 + 146 + … + 496
Aliquot sequence: 112,816 126,008 122,992 115,336 117,764 92,236 69,184 77,120 107,284 80,470 75,770 60,634 46,502 23,254 20,522 11,350 9,854 — unresolved within range

Continued fraction of √n

√112,816 = [335; (1, 7, 2, 1, 1, 26, 3, 1, 1, 1, 2, 1, 1, 1, 10, 33, 2, 41, 2, 33, 10, 1, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand eight hundred sixteen
Ordinal
112816th
Binary
11011100010110000
Octal
334260
Hexadecimal
0x1B8B0
Base64
Abiw
One's complement
4,294,854,479 (32-bit)
Scientific notation
1.12816 × 10⁵
As a duration
112,816 s = 1 day, 7 hours, 20 minutes, 16 seconds
In other bases
ternary (3) 12201202101
quaternary (4) 123202300
quinary (5) 12102231
senary (6) 2230144
septenary (7) 646624
nonary (9) 181671
undecimal (11) 77840
duodecimal (12) 55354
tridecimal (13) 3c472
tetradecimal (14) 2d184
pentadecimal (15) 23661

As an angle

112,816° = 313 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβωιϛʹ
Mayan (base 20)
𝋮·𝋢·𝋠·𝋰
Chinese
一十一萬二千八百一十六
Chinese (financial)
壹拾壹萬貳仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١١٢٨١٦ Devanagari ११२८१६ Bengali ১১২৮১৬ Tamil ௧௧௨௮௧௬ Thai ๑๑๒๘๑๖ Tibetan ༡༡༢༨༡༦ Khmer ១១២៨១៦ Lao ໑໑໒໘໑໖ Burmese ၁၁၂၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112816, here are decompositions:

  • 17 + 112799 = 112816
  • 29 + 112787 = 112816
  • 59 + 112757 = 112816
  • 173 + 112643 = 112816
  • 227 + 112589 = 112816
  • 233 + 112583 = 112816
  • 239 + 112577 = 112816
  • 257 + 112559 = 112816

Showing the first eight; more decompositions exist.

Hex color
#01B8B0
RGB(1, 184, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.176.

Address
0.1.184.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.176

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 112,816 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 112816 first appears in π at position 343,136 of the decimal expansion (the 343,136ordinal-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