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470,120

470,120 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.).

470,120 (four hundred seventy thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 23 × 73. Its proper divisors sum to 808,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C68.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pentagonal Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
21,074
Square (n²)
221,012,814,400
Cube (n³)
103,902,544,305,728,000
Divisor count
64
σ(n) — sum of divisors
1,278,720
φ(n) — Euler's totient
152,064
Sum of prime factors
114

Primality

Prime factorization: 2 3 × 5 × 7 × 23 × 73

Nearest primes: 470,089 (−31) · 470,131 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 23 · 28 · 35 · 40 · 46 · 56 · 70 · 73 · 92 · 115 · 140 · 146 · 161 · 184 · 230 · 280 · 292 · 322 · 365 · 460 · 511 · 584 · 644 · 730 · 805 · 920 · 1022 · 1288 · 1460 · 1610 · 1679 · 2044 · 2555 · 2920 · 3220 · 3358 · 4088 · 5110 · 6440 · 6716 · 8395 · 10220 · 11753 · 13432 · 16790 · 20440 · 23506 · 33580 · 47012 · 58765 · 67160 · 94024 · 117530 · 235060 (half) · 470120
Aliquot sum (sum of proper divisors): 808,600
Factor pairs (a × b = 470,120)
1 × 470120
2 × 235060
4 × 117530
5 × 94024
7 × 67160
8 × 58765
10 × 47012
14 × 33580
20 × 23506
23 × 20440
28 × 16790
35 × 13432
40 × 11753
46 × 10220
56 × 8395
70 × 6716
73 × 6440
92 × 5110
115 × 4088
140 × 3358
146 × 3220
161 × 2920
184 × 2555
230 × 2044
280 × 1679
292 × 1610
322 × 1460
365 × 1288
460 × 1022
511 × 920
584 × 805
644 × 730
First multiples
470,120 · 940,240 (double) · 1,410,360 · 1,880,480 · 2,350,600 · 2,820,720 · 3,290,840 · 3,760,960 · 4,231,080 · 4,701,200

Sums & aliquot sequence

As consecutive integers: 94,022 + 94,023 + 94,024 + 94,025 + 94,026 67,157 + 67,158 + … + 67,163 29,375 + 29,376 + … + 29,390 20,429 + 20,430 + … + 20,451
Aliquot sequence: 470,120 808,600 1,222,520 1,741,000 2,335,280 3,094,432 3,709,568 3,800,692 3,860,108 3,951,892 4,104,044 4,251,016 5,932,664 5,233,456 5,256,944 8,242,192 10,336,046 — unresolved within range

Continued fraction of √n

√470,120 = [685; (1, 1, 1, 7, 2, 4, 3, 1, 1, 1, 2, 4, 2, 4, 2, 4, 2, 1, 1, 1, 3, 4, 2, 7, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand one hundred twenty
Ordinal
470120th
Binary
1110010110001101000
Octal
1626150
Hexadecimal
0x72C68
Base64
Byxo
One's complement
4,294,497,175 (32-bit)
Scientific notation
4.7012 × 10⁵
As a duration
470,120 s = 5 days, 10 hours, 35 minutes, 20 seconds
In other bases
ternary (3) 212212212212
quaternary (4) 1302301220
quinary (5) 110020440
senary (6) 14024252
septenary (7) 3665420
nonary (9) 785785
undecimal (11) 2a1232
duodecimal (12) 1a8088
tridecimal (13) 135ca1
tetradecimal (14) c3480
pentadecimal (15) 94465
Palindromic in base 3

As an angle

470,120° = 1,305 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆
Greek (Milesian)
͵υορκʹ
Chinese
四十七萬零一百二十
Chinese (financial)
肆拾柒萬零壹佰貳拾
In other modern scripts
Eastern Arabic ٤٧٠١٢٠ Devanagari ४७०१२० Bengali ৪৭০১২০ Tamil ௪௭௦௧௨௦ Thai ๔๗๐๑๒๐ Tibetan ༤༧༠༡༢༠ Khmer ៤៧០១២០ Lao ໔໗໐໑໒໐ Burmese ၄၇၀၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470120, here are decompositions:

  • 31 + 470089 = 470120
  • 37 + 470083 = 470120
  • 43 + 470077 = 470120
  • 61 + 470059 = 470120
  • 127 + 469993 = 470120
  • 151 + 469969 = 470120
  • 163 + 469957 = 470120
  • 181 + 469939 = 470120

Showing the first eight; more decompositions exist.

Hex color
#072C68
RGB(7, 44, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.104.

Address
0.7.44.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.44.104

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 470,120 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 470120 first appears in π at position 812,377 of the decimal expansion (the 812,377ordinal-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

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