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556,400

556,400 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.).

556,400 (five hundred fifty-six thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 13 × 107. Its proper divisors sum to 896,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x87D70.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
4,655
Square (n²)
309,580,960,000
Cube (n³)
172,250,846,144,000,000
Divisor count
60
σ(n) — sum of divisors
1,453,032
φ(n) — Euler's totient
203,520
Sum of prime factors
138

Primality

Prime factorization: 2 4 × 5 2 × 13 × 107

Nearest primes: 556,399 (−1) · 556,403 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 40 · 50 · 52 · 65 · 80 · 100 · 104 · 107 · 130 · 200 · 208 · 214 · 260 · 325 · 400 · 428 · 520 · 535 · 650 · 856 · 1040 · 1070 · 1300 · 1391 · 1712 · 2140 · 2600 · 2675 · 2782 · 4280 · 5200 · 5350 · 5564 · 6955 · 8560 · 10700 · 11128 · 13910 · 21400 · 22256 · 27820 · 34775 · 42800 · 55640 · 69550 · 111280 · 139100 · 278200 (half) · 556400
Aliquot sum (sum of proper divisors): 896,632
Factor pairs (a × b = 556,400)
1 × 556400
2 × 278200
4 × 139100
5 × 111280
8 × 69550
10 × 55640
13 × 42800
16 × 34775
20 × 27820
25 × 22256
26 × 21400
40 × 13910
50 × 11128
52 × 10700
65 × 8560
80 × 6955
100 × 5564
104 × 5350
107 × 5200
130 × 4280
200 × 2782
208 × 2675
214 × 2600
260 × 2140
325 × 1712
400 × 1391
428 × 1300
520 × 1070
535 × 1040
650 × 856
First multiples
556,400 · 1,112,800 (double) · 1,669,200 · 2,225,600 · 2,782,000 · 3,338,400 · 3,894,800 · 4,451,200 · 5,007,600 · 5,564,000

Sums & aliquot sequence

As consecutive integers: 111,278 + 111,279 + 111,280 + 111,281 + 111,282 42,794 + 42,795 + … + 42,806 22,244 + 22,245 + … + 22,268 17,372 + 17,373 + … + 17,403
Aliquot sequence: 556,400 896,632 1,021,448 893,782 446,894 328,114 164,060 207,556 174,924 281,532 398,868 554,700 1,088,424 1,935,576 3,727,224 6,367,536 14,001,696 — unresolved within range

Continued fraction of √n

√556,400 = [745; (1, 11, 1, 6, 4, 1, 1, 1, 7, 5, 1, 58, 1, 5, 7, 1, 1, 1, 4, 6, 1, 11, 1, 1490)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-six thousand four hundred
Ordinal
556400th
Binary
10000111110101110000
Octal
2076560
Hexadecimal
0x87D70
Base64
CH1w
One's complement
4,294,410,895 (32-bit)
Scientific notation
5.564 × 10⁵
As a duration
556,400 s = 6 days, 10 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 1001021020102
quaternary (4) 2013311300
quinary (5) 120301100
senary (6) 15531532
septenary (7) 4505105
nonary (9) 1037212
undecimal (11) 350039
duodecimal (12) 229ba8
tridecimal (13) 166340
tetradecimal (14) 106aac
pentadecimal (15) aecd5

As an angle

556,400° = 1,545 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵φνϛυʹ
Chinese
五十五萬六千四百
Chinese (financial)
伍拾伍萬陸仟肆佰
In other modern scripts
Eastern Arabic ٥٥٦٤٠٠ Devanagari ५५६४०० Bengali ৫৫৬৪০০ Tamil ௫௫௬௪௦௦ Thai ๕๕๖๔๐๐ Tibetan ༥༥༦༤༠༠ Khmer ៥៥៦៤០០ Lao ໕໕໖໔໐໐ Burmese ၅၅၆၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 556400, here are decompositions:

  • 73 + 556327 = 556400
  • 79 + 556321 = 556400
  • 127 + 556273 = 556400
  • 139 + 556261 = 556400
  • 157 + 556243 = 556400
  • 181 + 556219 = 556400
  • 223 + 556177 = 556400
  • 241 + 556159 = 556400

Showing the first eight; more decompositions exist.

Hex color
#087D70
RGB(8, 125, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.125.112.

Address
0.8.125.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.125.112

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 556,400 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°.