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532,520

532,520 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.).

532,520 (five hundred thirty-two thousand five hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 13,313. Its proper divisors sum to 665,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x82028.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
25,235
Square (n²)
283,577,550,400
Cube (n³)
151,010,717,139,008,000
Divisor count
16
σ(n) — sum of divisors
1,198,260
φ(n) — Euler's totient
212,992
Sum of prime factors
13,324

Primality

Prime factorization: 2 3 × 5 × 13313

Nearest primes: 532,501 (−19) · 532,523 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 13313 · 26626 · 53252 · 66565 · 106504 · 133130 · 266260 (half) · 532520
Aliquot sum (sum of proper divisors): 665,740
Factor pairs (a × b = 532,520)
1 × 532520
2 × 266260
4 × 133130
5 × 106504
8 × 66565
10 × 53252
20 × 26626
40 × 13313
First multiples
532,520 · 1,065,040 (double) · 1,597,560 · 2,130,080 · 2,662,600 · 3,195,120 · 3,727,640 · 4,260,160 · 4,792,680 · 5,325,200

Sums & aliquot sequence

As a sum of two squares: 106² + 722² = 514² + 518²
As consecutive integers: 106,502 + 106,503 + 106,504 + 106,505 + 106,506 33,275 + 33,276 + … + 33,290 6,617 + 6,618 + … + 6,696
Aliquot sequence: 532,520 665,740 732,356 549,274 349,574 177,514 117,974 62,074 33,434 17,626 12,614 10,714 6,854 3,946 1,976 2,224 2,116 — unresolved within range

Continued fraction of √n

√532,520 = [729; (1, 2, 1, 5, 3, 3, 1, 2, 1, 2, 14, 1, 363, 1, 14, 2, 1, 2, 1, 3, 3, 5, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
five hundred thirty-two thousand five hundred twenty
Ordinal
532520th
Binary
10000010000000101000
Octal
2020050
Hexadecimal
0x82028
Base64
CCAo
One's complement
4,294,434,775 (32-bit)
Scientific notation
5.3252 × 10⁵
As a duration
532,520 s = 6 days, 3 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 1000001110222
quaternary (4) 2002000220
quinary (5) 114020040
senary (6) 15225212
septenary (7) 4345352
nonary (9) 1001428
undecimal (11) 3340aa
duodecimal (12) 218208
tridecimal (13) 158501
tetradecimal (14) dc0d2
pentadecimal (15) a7bb5
Palindromic in base 16

As an angle

532,520° = 1,479 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φλβφκʹ
Chinese
五十三萬二千五百二十
Chinese (financial)
伍拾參萬貳仟伍佰貳拾
In other modern scripts
Eastern Arabic ٥٣٢٥٢٠ Devanagari ५३२५२० Bengali ৫৩২৫২০ Tamil ௫௩௨௫௨௦ Thai ๕๓๒๕๒๐ Tibetan ༥༣༢༥༢༠ Khmer ៥៣២៥២០ Lao ໕໓໒໕໒໐ Burmese ၅၃၂၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 532520, here are decompositions:

  • 19 + 532501 = 532520
  • 31 + 532489 = 532520
  • 67 + 532453 = 532520
  • 73 + 532447 = 532520
  • 103 + 532417 = 532520
  • 193 + 532327 = 532520
  • 271 + 532249 = 532520
  • 337 + 532183 = 532520

Showing the first eight; more decompositions exist.

Hex color
#082028
RGB(8, 32, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.32.40.

Address
0.8.32.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.32.40

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 532,520 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 532520 first appears in π at position 890,151 of the decimal expansion (the 890,151ordinal-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°.