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470,112

470,112 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.).

470,112 (four hundred seventy thousand one hundred twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 59 × 83. Its proper divisors sum to 799,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C60.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
211,074
Square (n²)
221,005,292,544
Cube (n³)
103,897,240,088,444,928
Divisor count
48
σ(n) — sum of divisors
1,270,080
φ(n) — Euler's totient
152,192
Sum of prime factors
155

Primality

Prime factorization: 2 5 × 3 × 59 × 83

Nearest primes: 470,089 (−23) · 470,131 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 59 · 83 · 96 · 118 · 166 · 177 · 236 · 249 · 332 · 354 · 472 · 498 · 664 · 708 · 944 · 996 · 1328 · 1416 · 1888 · 1992 · 2656 · 2832 · 3984 · 4897 · 5664 · 7968 · 9794 · 14691 · 19588 · 29382 · 39176 · 58764 · 78352 · 117528 · 156704 · 235056 (half) · 470112
Aliquot sum (sum of proper divisors): 799,968
Factor pairs (a × b = 470,112)
1 × 470112
2 × 235056
3 × 156704
4 × 117528
6 × 78352
8 × 58764
12 × 39176
16 × 29382
24 × 19588
32 × 14691
48 × 9794
59 × 7968
83 × 5664
96 × 4897
118 × 3984
166 × 2832
177 × 2656
236 × 1992
249 × 1888
332 × 1416
354 × 1328
472 × 996
498 × 944
664 × 708
First multiples
470,112 · 940,224 (double) · 1,410,336 · 1,880,448 · 2,350,560 · 2,820,672 · 3,290,784 · 3,760,896 · 4,231,008 · 4,701,120

Sums & aliquot sequence

As consecutive integers: 156,703 + 156,704 + 156,705 7,939 + 7,940 + … + 7,997 7,314 + 7,315 + … + 7,377 5,623 + 5,624 + … + 5,705
Aliquot sequence: 470,112 799,968 1,465,008 2,487,120 5,434,992 10,873,488 17,216,480 23,457,832 21,146,168 18,896,992 18,940,808 16,573,222 8,311,634 4,326,826 3,090,614 1,672,186 873,734 — unresolved within range

Continued fraction of √n

√470,112 = [685; (1, 1, 1, 5, 42, 1, 2, 10, 1, 341, 1, 10, 2, 1, 42, 5, 1, 1, 1, 1370)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand one hundred twelve
Ordinal
470112th
Binary
1110010110001100000
Octal
1626140
Hexadecimal
0x72C60
Base64
Byxg
One's complement
4,294,497,183 (32-bit)
Scientific notation
4.70112 × 10⁵
As a duration
470,112 s = 5 days, 10 hours, 35 minutes, 12 seconds
In other bases
ternary (3) 212212212120
quaternary (4) 1302301200
quinary (5) 110020422
senary (6) 14024240
septenary (7) 3665406
nonary (9) 785776
undecimal (11) 2a1225
duodecimal (12) 1a8080
tridecimal (13) 135c96
tetradecimal (14) c3476
pentadecimal (15) 9445c

As an angle

470,112° = 1,305 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓏺𓏺
Greek (Milesian)
͵υοριβʹ
Chinese
四十七萬零一百一十二
Chinese (financial)
肆拾柒萬零壹佰壹拾貳
In other modern scripts
Eastern Arabic ٤٧٠١١٢ Devanagari ४७०११२ Bengali ৪৭০১১২ Tamil ௪௭௦௧௧௨ Thai ๔๗๐๑๑๒ Tibetan ༤༧༠༡༡༢ Khmer ៤៧០១១២ Lao ໔໗໐໑໑໒ Burmese ၄၇၀၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470112, here are decompositions:

  • 23 + 470089 = 470112
  • 29 + 470083 = 470112
  • 31 + 470081 = 470112
  • 53 + 470059 = 470112
  • 73 + 470039 = 470112
  • 173 + 469939 = 470112
  • 193 + 469919 = 470112
  • 233 + 469879 = 470112

Showing the first eight; more decompositions exist.

Hex color
#072C60
RGB(7, 44, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.96.

Address
0.7.44.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.44.96

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 470,112 and was likely granted around 1891.

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

Position in π

The digit sequence 470112 first appears in π at position 346,081 of the decimal expansion (the 346,081ordinal-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°.