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561,440

561,440 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.).

561,440 (five hundred sixty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5 × 11² × 29. Its proper divisors sum to 946,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x89120.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
44,165
Square (n²)
315,214,873,600
Cube (n³)
176,974,238,633,984,000
Divisor count
72
σ(n) — sum of divisors
1,508,220
φ(n) — Euler's totient
197,120
Sum of prime factors
66

Primality

Prime factorization: 2 5 × 5 × 11 2 × 29

Nearest primes: 561,439 (−1) · 561,461 (+21)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 29 · 32 · 40 · 44 · 55 · 58 · 80 · 88 · 110 · 116 · 121 · 145 · 160 · 176 · 220 · 232 · 242 · 290 · 319 · 352 · 440 · 464 · 484 · 580 · 605 · 638 · 880 · 928 · 968 · 1160 · 1210 · 1276 · 1595 · 1760 · 1936 · 2320 · 2420 · 2552 · 3190 · 3509 · 3872 · 4640 · 4840 · 5104 · 6380 · 7018 · 9680 · 10208 · 12760 · 14036 · 17545 · 19360 · 25520 · 28072 · 35090 · 51040 · 56144 · 70180 · 112288 · 140360 · 280720 (half) · 561440
Aliquot sum (sum of proper divisors): 946,780
Factor pairs (a × b = 561,440)
1 × 561440
2 × 280720
4 × 140360
5 × 112288
8 × 70180
10 × 56144
11 × 51040
16 × 35090
20 × 28072
22 × 25520
29 × 19360
32 × 17545
40 × 14036
44 × 12760
55 × 10208
58 × 9680
80 × 7018
88 × 6380
110 × 5104
116 × 4840
121 × 4640
145 × 3872
160 × 3509
176 × 3190
220 × 2552
232 × 2420
242 × 2320
290 × 1936
319 × 1760
352 × 1595
440 × 1276
464 × 1210
484 × 1160
580 × 968
605 × 928
638 × 880
First multiples
561,440 · 1,122,880 (double) · 1,684,320 · 2,245,760 · 2,807,200 · 3,368,640 · 3,930,080 · 4,491,520 · 5,052,960 · 5,614,400

Sums & aliquot sequence

As a sum of two squares: 44² + 748² = 484² + 572²
As consecutive integers: 112,286 + 112,287 + 112,288 + 112,289 + 112,290 51,035 + 51,036 + … + 51,045 19,346 + 19,347 + … + 19,374 10,181 + 10,182 + … + 10,235
Aliquot sequence: 561,440 946,780 1,041,500 1,234,228 948,624 1,502,112 2,441,184 4,090,656 6,647,568 12,011,952 20,654,608 22,745,392 21,437,048 20,166,712 18,360,128 18,967,204 14,225,410 — unresolved within range

Continued fraction of √n

√561,440 = [749; (3, 2, 2, 2, 1, 2, 5, 1, 9, 12, 3, 1, 1, 8, 3, 2, 1, 3, 2, 4, 1, 2, 1, 11, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
five hundred sixty-one thousand four hundred forty
Ordinal
561440th
Binary
10001001000100100000
Octal
2110440
Hexadecimal
0x89120
Base64
CJEg
One's complement
4,294,405,855 (32-bit)
Scientific notation
5.6144 × 10⁵
As a duration
561,440 s = 6 days, 11 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 1001112011002
quaternary (4) 2021010200
quinary (5) 120431230
senary (6) 20011132
septenary (7) 4525565
nonary (9) 1045132
undecimal (11) 353900
duodecimal (12) 230aa8
tridecimal (13) 168719
tetradecimal (14) 10886c
pentadecimal (15) b1545

As an angle

561,440° = 1,559 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φξαυμʹ
Chinese
五十六萬一千四百四十
Chinese (financial)
伍拾陸萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ٥٦١٤٤٠ Devanagari ५६१४४० Bengali ৫৬১৪৪০ Tamil ௫௬௧௪௪௦ Thai ๕๖๑๔๔๐ Tibetan ༥༦༡༤༤༠ Khmer ៥៦១៤៤០ Lao ໕໖໑໔໔໐ Burmese ၅၆၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 561440, here are decompositions:

  • 31 + 561409 = 561440
  • 67 + 561373 = 561440
  • 73 + 561367 = 561440
  • 97 + 561343 = 561440
  • 127 + 561313 = 561440
  • 163 + 561277 = 561440
  • 211 + 561229 = 561440
  • 241 + 561199 = 561440

Showing the first eight; more decompositions exist.

Hex color
#089120
RGB(8, 145, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.145.32.

Address
0.8.145.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.145.32

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 561,440 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°.