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533,120

533,120 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.).

533,120 (five hundred thirty-three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 5 × 7² × 17. Its proper divisors sum to 1,036,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x82280.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
21,335
Square (n²)
284,216,934,400
Cube (n³)
151,521,732,067,328,000
Divisor count
96
σ(n) — sum of divisors
1,569,780
φ(n) — Euler's totient
172,032
Sum of prime factors
50

Primality

Prime factorization: 2 7 × 5 × 7 2 × 17

Nearest primes: 533,111 (−9) · 533,129 (+9)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 17 · 20 · 28 · 32 · 34 · 35 · 40 · 49 · 56 · 64 · 68 · 70 · 80 · 85 · 98 · 112 · 119 · 128 · 136 · 140 · 160 · 170 · 196 · 224 · 238 · 245 · 272 · 280 · 320 · 340 · 392 · 448 · 476 · 490 · 544 · 560 · 595 · 640 · 680 · 784 · 833 · 896 · 952 · 980 · 1088 · 1120 · 1190 · 1360 · 1568 · 1666 · 1904 · 1960 · 2176 · 2240 · 2380 · 2720 · 3136 · 3332 · 3808 · 3920 · 4165 · 4480 · 4760 · 5440 · 6272 · 6664 · 7616 · 7840 · 8330 · 9520 · 10880 · 13328 · 15232 · 15680 · 16660 · 19040 · 26656 · 31360 · 33320 · 38080 · 53312 · 66640 · 76160 · 106624 · 133280 · 266560 (half) · 533120
Aliquot sum (sum of proper divisors): 1,036,660
Factor pairs (a × b = 533,120)
1 × 533120
2 × 266560
4 × 133280
5 × 106624
7 × 76160
8 × 66640
10 × 53312
14 × 38080
16 × 33320
17 × 31360
20 × 26656
28 × 19040
32 × 16660
34 × 15680
35 × 15232
40 × 13328
49 × 10880
56 × 9520
64 × 8330
68 × 7840
70 × 7616
80 × 6664
85 × 6272
98 × 5440
112 × 4760
119 × 4480
128 × 4165
136 × 3920
140 × 3808
160 × 3332
170 × 3136
196 × 2720
224 × 2380
238 × 2240
245 × 2176
272 × 1960
280 × 1904
320 × 1666
340 × 1568
392 × 1360
448 × 1190
476 × 1120
490 × 1088
544 × 980
560 × 952
595 × 896
640 × 833
680 × 784
First multiples
533,120 · 1,066,240 (double) · 1,599,360 · 2,132,480 · 2,665,600 · 3,198,720 · 3,731,840 · 4,264,960 · 4,798,080 · 5,331,200

Sums & aliquot sequence

As a sum of two squares: 56² + 728² = 392² + 616²
As consecutive integers: 106,622 + 106,623 + 106,624 + 106,625 + 106,626 76,157 + 76,158 + … + 76,163 31,352 + 31,353 + … + 31,368 15,215 + 15,216 + … + 15,249
Aliquot sequence: 533,120 1,036,660 1,269,140 1,633,900 1,911,880 2,389,940 3,494,092 3,619,280 6,451,504 6,048,316 4,822,572 6,467,028 9,263,148 12,450,180 23,011,260 41,420,436 56,117,004 — unresolved within range

Continued fraction of √n

√533,120 = [730; (6, 1, 1, 1, 3, 11, 1, 3, 1, 6, 1, 1, 1, 7, 1, 90, 2, 1, 1, 1, 1, 29, 5, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
five hundred thirty-three thousand one hundred twenty
Ordinal
533120th
Binary
10000010001010000000
Octal
2021200
Hexadecimal
0x82280
Base64
CCKA
One's complement
4,294,434,175 (32-bit)
Scientific notation
5.3312 × 10⁵
As a duration
533,120 s = 6 days, 4 hours, 5 minutes, 20 seconds
In other bases
ternary (3) 1000002022012
quaternary (4) 2002022000
quinary (5) 114024440
senary (6) 15232052
septenary (7) 4350200
nonary (9) 1002265
undecimal (11) 3345a5
duodecimal (12) 218628
tridecimal (13) 158873
tetradecimal (14) dc400
pentadecimal (15) a7e65

As an angle

533,120° = 1,480 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵φλγρκʹ
Chinese
五十三萬三千一百二十
Chinese (financial)
伍拾參萬參仟壹佰貳拾
In other modern scripts
Eastern Arabic ٥٣٣١٢٠ Devanagari ५३३१२० Bengali ৫৩৩১২০ Tamil ௫௩௩௧௨௦ Thai ๕๓๓๑๒๐ Tibetan ༥༣༣༡༢༠ Khmer ៥៣៣១២០ Lao ໕໓໓໑໒໐ Burmese ၅၃၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 533120, here are decompositions:

  • 31 + 533089 = 533120
  • 43 + 533077 = 533120
  • 67 + 533053 = 533120
  • 109 + 533011 = 533120
  • 127 + 532993 = 533120
  • 139 + 532981 = 533120
  • 271 + 532849 = 533120
  • 331 + 532789 = 533120

Showing the first eight; more decompositions exist.

Hex color
#082280
RGB(8, 34, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.34.128.

Address
0.8.34.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.34.128

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 533,120 and was likely granted around 1894.

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°.