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475,020

475,020 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.).

475,020 (four hundred seventy-five thousand twenty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2² × 3² × 5 × 7 × 13 × 29. Its proper divisors sum to 1,359,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73F8C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
20,574
Square (n²)
225,644,000,400
Cube (n³)
107,185,413,070,008,000
Divisor count
144
σ(n) — sum of divisors
1,834,560
φ(n) — Euler's totient
96,768
Sum of prime factors
64

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 × 13 × 29

Nearest primes: 474,983 (−37) · 475,037 (+17)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 13 · 14 · 15 · 18 · 20 · 21 · 26 · 28 · 29 · 30 · 35 · 36 · 39 · 42 · 45 · 52 · 58 · 60 · 63 · 65 · 70 · 78 · 84 · 87 · 90 · 91 · 105 · 116 · 117 · 126 · 130 · 140 · 145 · 156 · 174 · 180 · 182 · 195 · 203 · 210 · 234 · 252 · 260 · 261 · 273 · 290 · 315 · 348 · 364 · 377 · 390 · 406 · 420 · 435 · 455 · 468 · 522 · 546 · 580 · 585 · 609 · 630 · 754 · 780 · 812 · 819 · 870 · 910 · 1015 · 1044 · 1092 · 1131 · 1170 · 1218 · 1260 · 1305 · 1365 · 1508 · 1638 · 1740 · 1820 · 1827 · 1885 · 2030 · 2262 · 2340 · 2436 · 2610 · 2639 · 2730 · 3045 · 3276 · 3393 · 3654 · 3770 · 4060 · 4095 · 4524 · 5220 · 5278 · 5460 · 5655 · 6090 · 6786 · 7308 · 7540 · 7917 · 8190 · 9135 · 10556 · 11310 · 12180 · 13195 · 13572 · 15834 · 16380 · 16965 · 18270 · 22620 · 23751 · 26390 · 31668 · 33930 · 36540 · 39585 · 47502 · 52780 · 67860 · 79170 · 95004 · 118755 · 158340 · 237510 (half) · 475020
Aliquot sum (sum of proper divisors): 1,359,540
Factor pairs (a × b = 475,020)
1 × 475020
2 × 237510
3 × 158340
4 × 118755
5 × 95004
6 × 79170
7 × 67860
9 × 52780
10 × 47502
12 × 39585
13 × 36540
14 × 33930
15 × 31668
18 × 26390
20 × 23751
21 × 22620
26 × 18270
28 × 16965
29 × 16380
30 × 15834
35 × 13572
36 × 13195
39 × 12180
42 × 11310
45 × 10556
52 × 9135
58 × 8190
60 × 7917
63 × 7540
65 × 7308
70 × 6786
78 × 6090
84 × 5655
87 × 5460
90 × 5278
91 × 5220
105 × 4524
116 × 4095
117 × 4060
126 × 3770
130 × 3654
140 × 3393
145 × 3276
156 × 3045
174 × 2730
180 × 2639
182 × 2610
195 × 2436
203 × 2340
210 × 2262
234 × 2030
252 × 1885
260 × 1827
261 × 1820
273 × 1740
290 × 1638
315 × 1508
348 × 1365
364 × 1305
377 × 1260
390 × 1218
406 × 1170
420 × 1131
435 × 1092
455 × 1044
468 × 1015
522 × 910
546 × 870
580 × 819
585 × 812
609 × 780
630 × 754
First multiples
475,020 · 950,040 (double) · 1,425,060 · 1,900,080 · 2,375,100 · 2,850,120 · 3,325,140 · 3,800,160 · 4,275,180 · 4,750,200

Sums & aliquot sequence

As consecutive integers: 158,339 + 158,340 + 158,341 95,002 + 95,003 + 95,004 + 95,005 + 95,006 67,857 + 67,858 + … + 67,863 59,374 + 59,375 + … + 59,381
Aliquot sequence: 475,020 1,359,540 3,777,228 7,984,340 13,353,004 14,076,916 14,580,062 10,659,490 8,527,610 10,366,342 7,875,938 5,666,206 4,913,762 3,509,854 2,064,674 1,116,154 686,906 — unresolved within range

Continued fraction of √n

√475,020 = [689; (4, 1, 1, 1, 1, 3, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 4, 1378)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-five thousand twenty
Ordinal
475020th
Binary
1110011111110001100
Octal
1637614
Hexadecimal
0x73F8C
Base64
Bz+M
One's complement
4,294,492,275 (32-bit)
Scientific notation
4.7502 × 10⁵
As a duration
475,020 s = 5 days, 11 hours, 57 minutes
In other bases
ternary (3) 220010121100
quaternary (4) 1303332030
quinary (5) 110200040
senary (6) 14103100
septenary (7) 4015620
nonary (9) 803540
undecimal (11) 2a4987
duodecimal (12) 1aaa90
tridecimal (13) 1382a0
tetradecimal (14) c5180
pentadecimal (15) 95b30

As an angle

475,020° = 1,319 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵υοεκʹ
Chinese
四十七萬五千零二十
Chinese (financial)
肆拾柒萬伍仟零貳拾
In other modern scripts
Eastern Arabic ٤٧٥٠٢٠ Devanagari ४७५०२० Bengali ৪৭৫০২০ Tamil ௪௭௫௦௨௦ Thai ๔๗๕๐๒๐ Tibetan ༤༧༥༠༢༠ Khmer ៤៧៥០២០ Lao ໔໗໕໐໒໐ Burmese ၄၇၅၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475020, here are decompositions:

  • 37 + 474983 = 475020
  • 43 + 474977 = 475020
  • 61 + 474959 = 475020
  • 71 + 474949 = 475020
  • 79 + 474941 = 475020
  • 83 + 474937 = 475020
  • 89 + 474931 = 475020
  • 97 + 474923 = 475020

Showing the first eight; more decompositions exist.

Hex color
#073F8C
RGB(7, 63, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.63.140.

Address
0.7.63.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.63.140

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 475,020 and was likely granted around 1892.

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

Position in π

The digit sequence 475020 first appears in π at position 38,939 of the decimal expansion (the 38,939ordinal-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°.