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551,040

551,040 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.).

551,040 (five hundred fifty-one thousand forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3 × 5 × 7 × 41. Its proper divisors sum to 1,505,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86880.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
40,155
Recamán's sequence
a(187,472) = 551,040
Square (n²)
303,645,081,600
Cube (n³)
167,320,585,764,864,000
Divisor count
128
σ(n) — sum of divisors
2,056,320
φ(n) — Euler's totient
122,880
Sum of prime factors
70

Primality

Prime factorization: 2 7 × 3 × 5 × 7 × 41

Nearest primes: 551,039 (−1) · 551,059 (+19)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 41 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 82 · 84 · 96 · 105 · 112 · 120 · 123 · 128 · 140 · 160 · 164 · 168 · 192 · 205 · 210 · 224 · 240 · 246 · 280 · 287 · 320 · 328 · 336 · 384 · 410 · 420 · 448 · 480 · 492 · 560 · 574 · 615 · 640 · 656 · 672 · 820 · 840 · 861 · 896 · 960 · 984 · 1120 · 1148 · 1230 · 1312 · 1344 · 1435 · 1640 · 1680 · 1722 · 1920 · 1968 · 2240 · 2296 · 2460 · 2624 · 2688 · 2870 · 3280 · 3360 · 3444 · 3936 · 4305 · 4480 · 4592 · 4920 · 5248 · 5740 · 6560 · 6720 · 6888 · 7872 · 8610 · 9184 · 9840 · 11480 · 13120 · 13440 · 13776 · 15744 · 17220 · 18368 · 19680 · 22960 · 26240 · 27552 · 34440 · 36736 · 39360 · 45920 · 55104 · 68880 · 78720 · 91840 · 110208 · 137760 · 183680 · 275520 (half) · 551040
Aliquot sum (sum of proper divisors): 1,505,280
Factor pairs (a × b = 551,040)
1 × 551040
2 × 275520
3 × 183680
4 × 137760
5 × 110208
6 × 91840
7 × 78720
8 × 68880
10 × 55104
12 × 45920
14 × 39360
15 × 36736
16 × 34440
20 × 27552
21 × 26240
24 × 22960
28 × 19680
30 × 18368
32 × 17220
35 × 15744
40 × 13776
41 × 13440
42 × 13120
48 × 11480
56 × 9840
60 × 9184
64 × 8610
70 × 7872
80 × 6888
82 × 6720
84 × 6560
96 × 5740
105 × 5248
112 × 4920
120 × 4592
123 × 4480
128 × 4305
140 × 3936
160 × 3444
164 × 3360
168 × 3280
192 × 2870
205 × 2688
210 × 2624
224 × 2460
240 × 2296
246 × 2240
280 × 1968
287 × 1920
320 × 1722
328 × 1680
336 × 1640
384 × 1435
410 × 1344
420 × 1312
448 × 1230
480 × 1148
492 × 1120
560 × 984
574 × 960
615 × 896
640 × 861
656 × 840
672 × 820
First multiples
551,040 · 1,102,080 (double) · 1,653,120 · 2,204,160 · 2,755,200 · 3,306,240 · 3,857,280 · 4,408,320 · 4,959,360 · 5,510,400

Sums & aliquot sequence

As consecutive integers: 183,679 + 183,680 + 183,681 110,206 + 110,207 + 110,208 + 110,209 + 110,210 78,717 + 78,718 + … + 78,723 36,729 + 36,730 + … + 36,743
Aliquot sequence: 551,040 1,505,280 4,096,680 9,951,960 20,115,240 40,230,840 104,558,280 210,404,280 450,037,320 1,008,861,240 2,263,394,760 5,534,032,440 12,342,991,560 — keeps growing

Continued fraction of √n

√551,040 = [742; (3, 8, 2, 4, 1, 1, 1, 92, 6, 1, 8, 2, 12, 371, 12, 2, 8, 1, 6, 92, 1, 1, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-one thousand forty
Ordinal
551040th
Binary
10000110100010000000
Octal
2064200
Hexadecimal
0x86880
Base64
CGiA
One's complement
4,294,416,255 (32-bit)
Scientific notation
5.5104 × 10⁵
As a duration
551,040 s = 6 days, 9 hours, 4 minutes
In other bases
ternary (3) 1000222212220
quaternary (4) 2012202000
quinary (5) 120113130
senary (6) 15451040
septenary (7) 4453350
nonary (9) 1028786
undecimal (11) 347006
duodecimal (12) 226a80
tridecimal (13) 163a79
tetradecimal (14) 104b60
pentadecimal (15) ad410

As an angle

551,040° = 1,530 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φναμʹ
Chinese
五十五萬一千零四十
Chinese (financial)
伍拾伍萬壹仟零肆拾
In other modern scripts
Eastern Arabic ٥٥١٠٤٠ Devanagari ५५१०४० Bengali ৫৫১০৪০ Tamil ௫௫௧௦௪௦ Thai ๕๕๑๐๔๐ Tibetan ༥༥༡༠༤༠ Khmer ៥៥១០៤០ Lao ໕໕໑໐໔໐ Burmese ၅၅၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 551040, here are decompositions:

  • 13 + 551027 = 551040
  • 23 + 551017 = 551040
  • 37 + 551003 = 551040
  • 43 + 550997 = 551040
  • 47 + 550993 = 551040
  • 67 + 550973 = 551040
  • 71 + 550969 = 551040
  • 79 + 550961 = 551040

Showing the first eight; more decompositions exist.

Hex color
#086880
RGB(8, 104, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.104.128.

Address
0.8.104.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.104.128

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 551,040 and was likely granted around 1895.

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

Position in π

The digit sequence 551040 first appears in π at position 209,730 of the decimal expansion (the 209,730ordinal-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°.