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529,320

529,320 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.).

529,320 (five hundred twenty-nine thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 401. Its proper divisors sum to 1,207,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x813A8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
23,925
Square (n²)
280,179,662,400
Cube (n³)
148,304,698,901,568,000
Divisor count
64
σ(n) — sum of divisors
1,736,640
φ(n) — Euler's totient
128,000
Sum of prime factors
426

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 401

Nearest primes: 529,313 (−7) · 529,327 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 55 · 60 · 66 · 88 · 110 · 120 · 132 · 165 · 220 · 264 · 330 · 401 · 440 · 660 · 802 · 1203 · 1320 · 1604 · 2005 · 2406 · 3208 · 4010 · 4411 · 4812 · 6015 · 8020 · 8822 · 9624 · 12030 · 13233 · 16040 · 17644 · 22055 · 24060 · 26466 · 35288 · 44110 · 48120 · 52932 · 66165 · 88220 · 105864 · 132330 · 176440 · 264660 (half) · 529320
Aliquot sum (sum of proper divisors): 1,207,320
Factor pairs (a × b = 529,320)
1 × 529320
2 × 264660
3 × 176440
4 × 132330
5 × 105864
6 × 88220
8 × 66165
10 × 52932
11 × 48120
12 × 44110
15 × 35288
20 × 26466
22 × 24060
24 × 22055
30 × 17644
33 × 16040
40 × 13233
44 × 12030
55 × 9624
60 × 8822
66 × 8020
88 × 6015
110 × 4812
120 × 4411
132 × 4010
165 × 3208
220 × 2406
264 × 2005
330 × 1604
401 × 1320
440 × 1203
660 × 802
First multiples
529,320 · 1,058,640 (double) · 1,587,960 · 2,117,280 · 2,646,600 · 3,175,920 · 3,705,240 · 4,234,560 · 4,763,880 · 5,293,200

Sums & aliquot sequence

As consecutive integers: 176,439 + 176,440 + 176,441 105,862 + 105,863 + 105,864 + 105,865 + 105,866 48,115 + 48,116 + … + 48,125 35,281 + 35,282 + … + 35,295
Aliquot sequence: 529,320 1,207,320 2,415,000 6,582,120 13,164,600 28,819,320 58,319,400 130,106,040 260,212,440 520,425,240 1,045,890,120 2,403,002,040 4,818,374,760 9,698,872,920 22,042,897,320 — keeps growing

Continued fraction of √n

√529,320 = [727; (1, 1, 5, 4, 1, 5, 1, 4, 5, 1, 1, 1454)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty-nine thousand three hundred twenty
Ordinal
529320th
Binary
10000001001110101000
Octal
2011650
Hexadecimal
0x813A8
Base64
CBOo
One's complement
4,294,437,975 (32-bit)
Scientific notation
5.2932 × 10⁵
As a duration
529,320 s = 6 days, 3 hours, 2 minutes
In other bases
ternary (3) 222220002110
quaternary (4) 2001032220
quinary (5) 113414240
senary (6) 15202320
septenary (7) 4333131
nonary (9) 886073
undecimal (11) 331760
duodecimal (12) 2163a0
tridecimal (13) 156c0c
tetradecimal (14) dac88
pentadecimal (15) a6c80

As an angle

529,320° = 1,470 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φκθτκʹ
Chinese
五十二萬九千三百二十
Chinese (financial)
伍拾貳萬玖仟參佰貳拾
In other modern scripts
Eastern Arabic ٥٢٩٣٢٠ Devanagari ५२९३२० Bengali ৫২৯৩২০ Tamil ௫௨௯௩௨௦ Thai ๕๒๙๓๒๐ Tibetan ༥༢༩༣༢༠ Khmer ៥២៩៣២០ Lao ໕໒໙໓໒໐ Burmese ၅၂၉၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 529320, here are decompositions:

  • 7 + 529313 = 529320
  • 13 + 529307 = 529320
  • 19 + 529301 = 529320
  • 47 + 529273 = 529320
  • 61 + 529259 = 529320
  • 79 + 529241 = 529320
  • 83 + 529237 = 529320
  • 107 + 529213 = 529320

Showing the first eight; more decompositions exist.

Hex color
#0813A8
RGB(8, 19, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.19.168.

Address
0.8.19.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.19.168

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 529,320 and was likely granted around 1894.

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

Position in π

The digit sequence 529320 first appears in π at position 247,271 of the decimal expansion (the 247,271ordinal-suffix:st 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°.