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559,440

559,440 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.).

559,440 (five hundred fifty-nine thousand four hundred forty) is an even 6-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3³ × 5 × 7 × 37. Its proper divisors sum to 1,702,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x88950.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
44,955
Square (n²)
312,973,113,600
Cube (n³)
175,089,678,672,384,000
Divisor count
160
σ(n) — sum of divisors
2,261,760
φ(n) — Euler's totient
124,416
Sum of prime factors
66

Primality

Prime factorization: 2 4 × 3 3 × 5 × 7 × 37

Nearest primes: 559,421 (−19) · 559,451 (+11)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 37 · 40 · 42 · 45 · 48 · 54 · 56 · 60 · 63 · 70 · 72 · 74 · 80 · 84 · 90 · 105 · 108 · 111 · 112 · 120 · 126 · 135 · 140 · 144 · 148 · 168 · 180 · 185 · 189 · 210 · 216 · 222 · 240 · 252 · 259 · 270 · 280 · 296 · 315 · 333 · 336 · 360 · 370 · 378 · 420 · 432 · 444 · 504 · 518 · 540 · 555 · 560 · 592 · 630 · 666 · 720 · 740 · 756 · 777 · 840 · 888 · 945 · 999 · 1008 · 1036 · 1080 · 1110 · 1260 · 1295 · 1332 · 1480 · 1512 · 1554 · 1665 · 1680 · 1776 · 1890 · 1998 · 2072 · 2160 · 2220 · 2331 · 2520 · 2590 · 2664 · 2960 · 3024 · 3108 · 3330 · 3780 · 3885 · 3996 · 4144 · 4440 · 4662 · 4995 · 5040 · 5180 · 5328 · 6216 · 6660 · 6993 · 7560 · 7770 · 7992 · 8880 · 9324 · 9990 · 10360 · 11655 · 12432 · 13320 · 13986 · 15120 · 15540 · 15984 · 18648 · 19980 · 20720 · 23310 · 26640 · 27972 · 31080 · 34965 · 37296 · 39960 · 46620 · 55944 · 62160 · 69930 · 79920 · 93240 · 111888 · 139860 · 186480 · 279720 (half) · 559440
Aliquot sum (sum of proper divisors): 1,702,320
Factor pairs (a × b = 559,440)
1 × 559440
2 × 279720
3 × 186480
4 × 139860
5 × 111888
6 × 93240
7 × 79920
8 × 69930
9 × 62160
10 × 55944
12 × 46620
14 × 39960
15 × 37296
16 × 34965
18 × 31080
20 × 27972
21 × 26640
24 × 23310
27 × 20720
28 × 19980
30 × 18648
35 × 15984
36 × 15540
37 × 15120
40 × 13986
42 × 13320
45 × 12432
48 × 11655
54 × 10360
56 × 9990
60 × 9324
63 × 8880
70 × 7992
72 × 7770
74 × 7560
80 × 6993
84 × 6660
90 × 6216
105 × 5328
108 × 5180
111 × 5040
112 × 4995
120 × 4662
126 × 4440
135 × 4144
140 × 3996
144 × 3885
148 × 3780
168 × 3330
180 × 3108
185 × 3024
189 × 2960
210 × 2664
216 × 2590
222 × 2520
240 × 2331
252 × 2220
259 × 2160
270 × 2072
280 × 1998
296 × 1890
315 × 1776
333 × 1680
336 × 1665
360 × 1554
370 × 1512
378 × 1480
420 × 1332
432 × 1295
444 × 1260
504 × 1110
518 × 1080
540 × 1036
555 × 1008
560 × 999
592 × 945
630 × 888
666 × 840
720 × 777
740 × 756
First multiples
559,440 · 1,118,880 (double) · 1,678,320 · 2,237,760 · 2,797,200 · 3,356,640 · 3,916,080 · 4,475,520 · 5,034,960 · 5,594,400

Sums & aliquot sequence

As consecutive integers: 186,479 + 186,480 + 186,481 111,886 + 111,887 + 111,888 + 111,889 + 111,890 79,917 + 79,918 + … + 79,923 62,156 + 62,157 + … + 62,164
Aliquot sequence: 559,440 1,702,320 3,734,832 6,978,768 11,049,840 26,670,960 68,211,360 204,456,672 478,235,520 1,478,940,480 3,913,093,440 9,546,327,444 12,728,436,620 — keeps growing

Continued fraction of √n

√559,440 = [747; (1, 22, 2, 1, 2, 22, 1, 1494)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-nine thousand four hundred forty
Ordinal
559440th
Binary
10001000100101010000
Octal
2104520
Hexadecimal
0x88950
Base64
CIlQ
One's complement
4,294,407,855 (32-bit)
Scientific notation
5.5944 × 10⁵
As a duration
559,440 s = 6 days, 11 hours, 24 minutes
In other bases
ternary (3) 1001102102000
quaternary (4) 2020211100
quinary (5) 120400230
senary (6) 15554000
septenary (7) 4520010
nonary (9) 1042360
undecimal (11) 352352
duodecimal (12) 22b900
tridecimal (13) 16783b
tetradecimal (14) 107c40
pentadecimal (15) b0b60

As an angle

559,440° = 1,554 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φνθυμʹ
Chinese
五十五萬九千四百四十
Chinese (financial)
伍拾伍萬玖仟肆佰肆拾
In other modern scripts
Eastern Arabic ٥٥٩٤٤٠ Devanagari ५५९४४० Bengali ৫৫৯৪৪০ Tamil ௫௫௯௪௪௦ Thai ๕๕๙๔๔๐ Tibetan ༥༥༩༤༤༠ Khmer ៥៥៩៤៤០ Lao ໕໕໙໔໔໐ Burmese ၅၅၉၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 559440, here are decompositions:

  • 19 + 559421 = 559440
  • 43 + 559397 = 559440
  • 71 + 559369 = 559440
  • 73 + 559367 = 559440
  • 83 + 559357 = 559440
  • 97 + 559343 = 559440
  • 127 + 559313 = 559440
  • 163 + 559277 = 559440

Showing the first eight; more decompositions exist.

Hex color
#088950
RGB(8, 137, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.137.80.

Address
0.8.137.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.137.80

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 559,440 and was likely granted around 1895.

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°.