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532,320

532,320 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.).

532,320 (five hundred thirty-two thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 1,109. Its proper divisors sum to 1,146,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x81F60.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
23,235
Square (n²)
283,364,582,400
Cube (n³)
150,840,634,503,168,000
Divisor count
48
σ(n) — sum of divisors
1,678,320
φ(n) — Euler's totient
141,824
Sum of prime factors
1,127

Primality

Prime factorization: 2 5 × 3 × 5 × 1109

Nearest primes: 532,313 (−7) · 532,327 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 480 · 1109 · 2218 · 3327 · 4436 · 5545 · 6654 · 8872 · 11090 · 13308 · 16635 · 17744 · 22180 · 26616 · 33270 · 35488 · 44360 · 53232 · 66540 · 88720 · 106464 · 133080 · 177440 · 266160 (half) · 532320
Aliquot sum (sum of proper divisors): 1,146,000
Factor pairs (a × b = 532,320)
1 × 532320
2 × 266160
3 × 177440
4 × 133080
5 × 106464
6 × 88720
8 × 66540
10 × 53232
12 × 44360
15 × 35488
16 × 33270
20 × 26616
24 × 22180
30 × 17744
32 × 16635
40 × 13308
48 × 11090
60 × 8872
80 × 6654
96 × 5545
120 × 4436
160 × 3327
240 × 2218
480 × 1109
First multiples
532,320 · 1,064,640 (double) · 1,596,960 · 2,129,280 · 2,661,600 · 3,193,920 · 3,726,240 · 4,258,560 · 4,790,880 · 5,323,200

Sums & aliquot sequence

As consecutive integers: 177,439 + 177,440 + 177,441 106,462 + 106,463 + 106,464 + 106,465 + 106,466 35,481 + 35,482 + … + 35,495 8,286 + 8,287 + … + 8,349
Aliquot sequence: 532,320 1,146,000 2,568,048 5,014,800 14,974,000 21,237,968 19,910,626 9,955,316 11,004,364 11,004,420 26,916,540 63,776,580 140,309,820 362,767,524 604,612,764 1,277,645,796 2,505,233,304 — unresolved within range

Continued fraction of √n

√532,320 = [729; (1, 1, 1, 1, 14, 1, 1, 1, 1, 1458)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five hundred thirty-two thousand three hundred twenty
Ordinal
532320th
Binary
10000001111101100000
Octal
2017540
Hexadecimal
0x81F60
Base64
CB9g
One's complement
4,294,434,975 (32-bit)
Scientific notation
5.3232 × 10⁵
As a duration
532,320 s = 6 days, 3 hours, 52 minutes
In other bases
ternary (3) 1000001012120
quaternary (4) 2001331200
quinary (5) 114013240
senary (6) 15224240
septenary (7) 4344645
nonary (9) 1001176
undecimal (11) 333a38
duodecimal (12) 218080
tridecimal (13) 1583a9
tetradecimal (14) dbdcc
pentadecimal (15) a7ad0

As an angle

532,320° = 1,478 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φλβτκʹ
Chinese
五十三萬二千三百二十
Chinese (financial)
伍拾參萬貳仟參佰貳拾
In other modern scripts
Eastern Arabic ٥٣٢٣٢٠ Devanagari ५३२३२० Bengali ৫৩২৩২০ Tamil ௫௩௨௩௨௦ Thai ๕๓๒๓๒๐ Tibetan ༥༣༢༣༢༠ Khmer ៥៣២៣២០ Lao ໕໓໒໓໒໐ Burmese ၅၃၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 532320, here are decompositions:

  • 7 + 532313 = 532320
  • 13 + 532307 = 532320
  • 37 + 532283 = 532320
  • 43 + 532277 = 532320
  • 53 + 532267 = 532320
  • 59 + 532261 = 532320
  • 71 + 532249 = 532320
  • 79 + 532241 = 532320

Showing the first eight; more decompositions exist.

Hex color
#081F60
RGB(8, 31, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.31.96.

Address
0.8.31.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.31.96

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 532,320 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 532320 first appears in π at position 870,201 of the decimal expansion (the 870,201ordinal-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°.