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470,160

470,160 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.).

470,160 (four hundred seventy thousand one hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 653. Its proper divisors sum to 1,111,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C90.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
61,074
Square (n²)
221,050,425,600
Cube (n³)
103,929,068,100,096,000
Divisor count
60
σ(n) — sum of divisors
1,581,372
φ(n) — Euler's totient
125,184
Sum of prime factors
672

Primality

Prime factorization: 2 4 × 3 2 × 5 × 653

Nearest primes: 470,153 (−7) · 470,161 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 120 · 144 · 180 · 240 · 360 · 653 · 720 · 1306 · 1959 · 2612 · 3265 · 3918 · 5224 · 5877 · 6530 · 7836 · 9795 · 10448 · 11754 · 13060 · 15672 · 19590 · 23508 · 26120 · 29385 · 31344 · 39180 · 47016 · 52240 · 58770 · 78360 · 94032 · 117540 · 156720 · 235080 (half) · 470160
Aliquot sum (sum of proper divisors): 1,111,212
Factor pairs (a × b = 470,160)
1 × 470160
2 × 235080
3 × 156720
4 × 117540
5 × 94032
6 × 78360
8 × 58770
9 × 52240
10 × 47016
12 × 39180
15 × 31344
16 × 29385
18 × 26120
20 × 23508
24 × 19590
30 × 15672
36 × 13060
40 × 11754
45 × 10448
48 × 9795
60 × 7836
72 × 6530
80 × 5877
90 × 5224
120 × 3918
144 × 3265
180 × 2612
240 × 1959
360 × 1306
653 × 720
First multiples
470,160 · 940,320 (double) · 1,410,480 · 1,880,640 · 2,350,800 · 2,820,960 · 3,291,120 · 3,761,280 · 4,231,440 · 4,701,600

Sums & aliquot sequence

As a sum of two squares: 48² + 684² = 372² + 576²
As consecutive integers: 156,719 + 156,720 + 156,721 94,030 + 94,031 + 94,032 + 94,033 + 94,034 52,236 + 52,237 + … + 52,244 31,337 + 31,338 + … + 31,351
Aliquot sequence: 470,160 1,111,212 1,769,988 3,056,316 4,228,164 6,524,760 14,833,320 30,319,320 61,045,800 130,995,480 358,996,200 802,417,560 2,141,265,000 5,504,037,720 11,008,075,800 — keeps growing

Continued fraction of √n

√470,160 = [685; (1, 2, 6, 1, 5, 1, 1, 16, 2, 1, 1, 3, 1, 10, 1, 1, 4, 2, 1, 1, 5, 4, 1, 1, …)]

Representations

In words
four hundred seventy thousand one hundred sixty
Ordinal
470160th
Binary
1110010110010010000
Octal
1626220
Hexadecimal
0x72C90
Base64
ByyQ
One's complement
4,294,497,135 (32-bit)
Scientific notation
4.7016 × 10⁵
As a duration
470,160 s = 5 days, 10 hours, 36 minutes
In other bases
ternary (3) 212212221100
quaternary (4) 1302302100
quinary (5) 110021120
senary (6) 14024400
septenary (7) 3665505
nonary (9) 785840
undecimal (11) 2a1269
duodecimal (12) 1a8100
tridecimal (13) 136002
tetradecimal (14) c34ac
pentadecimal (15) 94490

As an angle

470,160° = 1,306 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υορξʹ
Chinese
四十七萬零一百六十
Chinese (financial)
肆拾柒萬零壹佰陸拾
In other modern scripts
Eastern Arabic ٤٧٠١٦٠ Devanagari ४७०१६० Bengali ৪৭০১৬০ Tamil ௪௭௦௧௬௦ Thai ๔๗๐๑๖๐ Tibetan ༤༧༠༡༦༠ Khmer ៤៧០១៦០ Lao ໔໗໐໑໖໐ Burmese ၄၇၀၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470160, here are decompositions:

  • 7 + 470153 = 470160
  • 11 + 470149 = 470160
  • 29 + 470131 = 470160
  • 71 + 470089 = 470160
  • 73 + 470087 = 470160
  • 79 + 470081 = 470160
  • 83 + 470077 = 470160
  • 101 + 470059 = 470160

Showing the first eight; more decompositions exist.

Hex color
#072C90
RGB(7, 44, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.144.

Address
0.7.44.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.44.144

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 470,160 and was likely granted around 1891.

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

Related reading

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