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112,470

112,470 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.).

112,470 (one hundred twelve thousand four hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 23 × 163. Its proper divisors sum to 170,922, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B756.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
74,211
Recamán's sequence
a(52,255) = 112,470
Square (n²)
12,649,500,900
Cube (n³)
1,422,689,366,223,000
Divisor count
32
σ(n) — sum of divisors
283,392
φ(n) — Euler's totient
28,512
Sum of prime factors
196

Primality

Prime factorization: 2 × 3 × 5 × 23 × 163

Nearest primes: 112,459 (−11) · 112,481 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 23 · 30 · 46 · 69 · 115 · 138 · 163 · 230 · 326 · 345 · 489 · 690 · 815 · 978 · 1630 · 2445 · 3749 · 4890 · 7498 · 11247 · 18745 · 22494 · 37490 · 56235 (half) · 112470
Aliquot sum (sum of proper divisors): 170,922
Factor pairs (a × b = 112,470)
1 × 112470
2 × 56235
3 × 37490
5 × 22494
6 × 18745
10 × 11247
15 × 7498
23 × 4890
30 × 3749
46 × 2445
69 × 1630
115 × 978
138 × 815
163 × 690
230 × 489
326 × 345
First multiples
112,470 · 224,940 (double) · 337,410 · 449,880 · 562,350 · 674,820 · 787,290 · 899,760 · 1,012,230 · 1,124,700

Sums & aliquot sequence

As consecutive integers: 37,489 + 37,490 + 37,491 28,116 + 28,117 + 28,118 + 28,119 22,492 + 22,493 + 22,494 + 22,495 + 22,496 9,367 + 9,368 + … + 9,378
Aliquot sequence: 112,470 170,922 177,270 272,010 380,886 483,114 497,238 639,402 661,110 925,626 1,068,198 1,137,498 1,137,510 2,180,250 4,558,950 9,190,170 16,879,302 — unresolved within range

Continued fraction of √n

√112,470 = [335; (2, 1, 2, 1, 3, 1, 3, 2, 3, 14, 3, 2, 3, 1, 3, 1, 2, 1, 2, 670)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand four hundred seventy
Ordinal
112470th
Binary
11011011101010110
Octal
333526
Hexadecimal
0x1B756
Base64
AbdW
One's complement
4,294,854,825 (32-bit)
Scientific notation
1.1247 × 10⁵
As a duration
112,470 s = 1 day, 7 hours, 14 minutes, 30 seconds
In other bases
ternary (3) 12201021120
quaternary (4) 123131112
quinary (5) 12044340
senary (6) 2224410
septenary (7) 645621
nonary (9) 181246
undecimal (11) 77556
duodecimal (12) 55106
tridecimal (13) 3c267
tetradecimal (14) 2cdb8
pentadecimal (15) 234d0

As an angle

112,470° = 312 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβυοʹ
Mayan (base 20)
𝋮·𝋡·𝋣·𝋪
Chinese
一十一萬二千四百七十
Chinese (financial)
壹拾壹萬貳仟肆佰柒拾
In other modern scripts
Eastern Arabic ١١٢٤٧٠ Devanagari ११२४७० Bengali ১১২৪৭০ Tamil ௧௧௨௪௭௦ Thai ๑๑๒๔๗๐ Tibetan ༡༡༢༤༧༠ Khmer ១១២៤៧០ Lao ໑໑໒໔໗໐ Burmese ၁၁၂၄၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112470, here are decompositions:

  • 11 + 112459 = 112470
  • 41 + 112429 = 112470
  • 67 + 112403 = 112470
  • 73 + 112397 = 112470
  • 107 + 112363 = 112470
  • 109 + 112361 = 112470
  • 131 + 112339 = 112470
  • 139 + 112331 = 112470

Showing the first eight; more decompositions exist.

Hex color
#01B756
RGB(1, 183, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.86.

Address
0.1.183.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.86

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 112,470 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 112470 first appears in π at position 751,141 of the decimal expansion (the 751,141ordinal-suffix:st 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.