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112,564

112,564 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.).

112,564 (one hundred twelve thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 107 × 263. Written other ways, in hexadecimal, 0x1B7B4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
240
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
465,211
Square (n²)
12,670,654,096
Cube (n³)
1,426,259,507,662,144
Divisor count
12
σ(n) — sum of divisors
199,584
φ(n) — Euler's totient
55,544
Sum of prime factors
374

Primality

Prime factorization: 2 2 × 107 × 263

Nearest primes: 112,559 (−5) · 112,571 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 107 · 214 · 263 · 428 · 526 · 1052 · 28141 · 56282 (half) · 112564
Aliquot sum (sum of proper divisors): 87,020
Factor pairs (a × b = 112,564)
1 × 112564
2 × 56282
4 × 28141
107 × 1052
214 × 526
263 × 428
First multiples
112,564 · 225,128 (double) · 337,692 · 450,256 · 562,820 · 675,384 · 787,948 · 900,512 · 1,013,076 · 1,125,640

Sums & aliquot sequence

As consecutive integers: 14,067 + 14,068 + … + 14,074 999 + 1,000 + … + 1,105 297 + 298 + … + 559
Aliquot sequence: 112,564 87,020 106,180 116,840 159,640 228,440 285,640 377,840 500,824 438,236 337,924 253,450 234,242 119,674 63,386 34,138 21,860 — unresolved within range

Continued fraction of √n

√112,564 = [335; (1, 1, 44, 4, 3, 1, 1, 2, 2, 2, 2, 5, 1, 41, 10, 1, 1, 1, 2, 7, 6, 7, 2, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand five hundred sixty-four
Ordinal
112564th
Binary
11011011110110100
Octal
333664
Hexadecimal
0x1B7B4
Base64
Abe0
One's complement
4,294,854,731 (32-bit)
Scientific notation
1.12564 × 10⁵
As a duration
112,564 s = 1 day, 7 hours, 16 minutes, 4 seconds
In other bases
ternary (3) 12201102001
quaternary (4) 123132310
quinary (5) 12100224
senary (6) 2225044
septenary (7) 646114
nonary (9) 181361
undecimal (11) 77631
duodecimal (12) 55184
tridecimal (13) 3c30a
tetradecimal (14) 2d044
pentadecimal (15) 23544

As an angle

112,564° = 312 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβφξδʹ
Mayan (base 20)
𝋮·𝋡·𝋨·𝋤
Chinese
一十一萬二千五百六十四
Chinese (financial)
壹拾壹萬貳仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١١٢٥٦٤ Devanagari ११२५६४ Bengali ১১২৫৬৪ Tamil ௧௧௨௫௬௪ Thai ๑๑๒๕๖๔ Tibetan ༡༡༢༥༦༤ Khmer ១១២៥៦៤ Lao ໑໑໒໕໖໔ Burmese ၁၁၂၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112564, here are decompositions:

  • 5 + 112559 = 112564
  • 83 + 112481 = 112564
  • 167 + 112397 = 112564
  • 227 + 112337 = 112564
  • 233 + 112331 = 112564
  • 311 + 112253 = 112564
  • 317 + 112247 = 112564
  • 383 + 112181 = 112564

Showing the first eight; more decompositions exist.

Hex color
#01B7B4
RGB(1, 183, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.180.

Address
0.1.183.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.180

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 112,564 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 112564 first appears in π at position 320,232 of the decimal expansion (the 320,232ordinal-suffix:nd 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