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475,320

475,320 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.).

475,320 (four hundred seventy-five thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 233. Its proper divisors sum to 1,041,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x740B8.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
23,574
Square (n²)
225,929,102,400
Cube (n³)
107,388,620,952,768,000
Divisor count
64
σ(n) — sum of divisors
1,516,320
φ(n) — Euler's totient
118,784
Sum of prime factors
264

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 233

Nearest primes: 475,301 (−19) · 475,327 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 233 · 255 · 340 · 408 · 466 · 510 · 680 · 699 · 932 · 1020 · 1165 · 1398 · 1864 · 2040 · 2330 · 2796 · 3495 · 3961 · 4660 · 5592 · 6990 · 7922 · 9320 · 11883 · 13980 · 15844 · 19805 · 23766 · 27960 · 31688 · 39610 · 47532 · 59415 · 79220 · 95064 · 118830 · 158440 · 237660 (half) · 475320
Aliquot sum (sum of proper divisors): 1,041,000
Factor pairs (a × b = 475,320)
1 × 475320
2 × 237660
3 × 158440
4 × 118830
5 × 95064
6 × 79220
8 × 59415
10 × 47532
12 × 39610
15 × 31688
17 × 27960
20 × 23766
24 × 19805
30 × 15844
34 × 13980
40 × 11883
51 × 9320
60 × 7922
68 × 6990
85 × 5592
102 × 4660
120 × 3961
136 × 3495
170 × 2796
204 × 2330
233 × 2040
255 × 1864
340 × 1398
408 × 1165
466 × 1020
510 × 932
680 × 699
First multiples
475,320 · 950,640 (double) · 1,425,960 · 1,901,280 · 2,376,600 · 2,851,920 · 3,327,240 · 3,802,560 · 4,277,880 · 4,753,200

Sums & aliquot sequence

As consecutive integers: 158,439 + 158,440 + 158,441 95,062 + 95,063 + 95,064 + 95,065 + 95,066 31,681 + 31,682 + … + 31,695 29,700 + 29,701 + … + 29,715
Aliquot sequence: 475,320 1,041,000 2,216,280 5,456,040 11,780,760 25,428,840 55,221,240 113,984,520 266,313,720 532,627,800 1,141,907,880 2,286,674,520 5,137,124,520 12,838,499,160 — keeps growing

Continued fraction of √n

√475,320 = [689; (2, 3, 3, 7, 1, 5, 1, 7, 3, 3, 2, 1378)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-five thousand three hundred twenty
Ordinal
475320th
Binary
1110100000010111000
Octal
1640270
Hexadecimal
0x740B8
Base64
B0C4
One's complement
4,294,491,975 (32-bit)
Scientific notation
4.7532 × 10⁵
As a duration
475,320 s = 5 days, 12 hours, 2 minutes
In other bases
ternary (3) 220011000110
quaternary (4) 1310002320
quinary (5) 110202240
senary (6) 14104320
septenary (7) 4016526
nonary (9) 804013
undecimal (11) 2a512a
duodecimal (12) 1ab0a0
tridecimal (13) 138471
tetradecimal (14) c5316
pentadecimal (15) 95c80

As an angle

475,320° = 1,320 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υοετκʹ
Chinese
四十七萬五千三百二十
Chinese (financial)
肆拾柒萬伍仟參佰貳拾
In other modern scripts
Eastern Arabic ٤٧٥٣٢٠ Devanagari ४७५३२० Bengali ৪৭৫৩২০ Tamil ௪௭௫௩௨௦ Thai ๔๗๕๓๒๐ Tibetan ༤༧༥༣༢༠ Khmer ៤៧៥៣២០ Lao ໔໗໕໓໒໐ Burmese ၄၇၅၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475320, here are decompositions:

  • 19 + 475301 = 475320
  • 23 + 475297 = 475320
  • 31 + 475289 = 475320
  • 37 + 475283 = 475320
  • 47 + 475273 = 475320
  • 101 + 475219 = 475320
  • 113 + 475207 = 475320
  • 151 + 475169 = 475320

Showing the first eight; more decompositions exist.

Hex color
#0740B8
RGB(7, 64, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.64.184.

Address
0.7.64.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.64.184

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 475,320 and was likely granted around 1892.

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°.