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529,040

529,040 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.).

529,040 (five hundred twenty-nine thousand forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 389. Its proper divisors sum to 776,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x81290.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable 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
40,925
Square (n²)
279,883,321,600
Cube (n³)
148,069,472,459,264,000
Divisor count
40
σ(n) — sum of divisors
1,305,720
φ(n) — Euler's totient
198,656
Sum of prime factors
419

Primality

Prime factorization: 2 4 × 5 × 17 × 389

Nearest primes: 529,037 (−3) · 529,043 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 136 · 170 · 272 · 340 · 389 · 680 · 778 · 1360 · 1556 · 1945 · 3112 · 3890 · 6224 · 6613 · 7780 · 13226 · 15560 · 26452 · 31120 · 33065 · 52904 · 66130 · 105808 · 132260 · 264520 (half) · 529040
Aliquot sum (sum of proper divisors): 776,680
Factor pairs (a × b = 529,040)
1 × 529040
2 × 264520
4 × 132260
5 × 105808
8 × 66130
10 × 52904
16 × 33065
17 × 31120
20 × 26452
34 × 15560
40 × 13226
68 × 7780
80 × 6613
85 × 6224
136 × 3890
170 × 3112
272 × 1945
340 × 1556
389 × 1360
680 × 778
First multiples
529,040 · 1,058,080 (double) · 1,587,120 · 2,116,160 · 2,645,200 · 3,174,240 · 3,703,280 · 4,232,320 · 4,761,360 · 5,290,400

Sums & aliquot sequence

As a sum of two squares: 128² + 716² = 224² + 692² = 236² + 688² = 496² + 532²
As consecutive integers: 105,806 + 105,807 + 105,808 + 105,809 + 105,810 31,112 + 31,113 + … + 31,128 16,517 + 16,518 + … + 16,548 6,182 + 6,183 + … + 6,266
Aliquot sequence: 529,040 776,680 970,940 1,117,300 1,307,458 789,758 394,882 197,444 174,760 243,200 391,060 430,208 427,102 262,874 131,440 189,968 190,960 — unresolved within range

Continued fraction of √n

√529,040 = [727; (2, 1, 5, 2, 90, 2, 5, 1, 2, 1454)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty-nine thousand forty
Ordinal
529040th
Binary
10000001001010010000
Octal
2011220
Hexadecimal
0x81290
Base64
CBKQ
One's complement
4,294,438,255 (32-bit)
Scientific notation
5.2904 × 10⁵
As a duration
529,040 s = 6 days, 2 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 222212201002
quaternary (4) 2001022100
quinary (5) 113412130
senary (6) 15201132
septenary (7) 4332251
nonary (9) 885632
undecimal (11) 331526
duodecimal (12) 2161a8
tridecimal (13) 156a55
tetradecimal (14) dab28
pentadecimal (15) a6b45

As an angle

529,040° = 1,469 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φκθμʹ
Chinese
五十二萬九千零四十
Chinese (financial)
伍拾貳萬玖仟零肆拾
In other modern scripts
Eastern Arabic ٥٢٩٠٤٠ Devanagari ५२९०४० Bengali ৫২৯০৪০ Tamil ௫௨௯௦௪௦ Thai ๕๒๙๐๔๐ Tibetan ༥༢༩༠༤༠ Khmer ៥២៩០៤០ Lao ໕໒໙໐໔໐ Burmese ၅၂၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 529040, here are decompositions:

  • 3 + 529037 = 529040
  • 7 + 529033 = 529040
  • 13 + 529027 = 529040
  • 37 + 529003 = 529040
  • 67 + 528973 = 529040
  • 73 + 528967 = 529040
  • 157 + 528883 = 529040
  • 163 + 528877 = 529040

Showing the first eight; more decompositions exist.

Hex color
#081290
RGB(8, 18, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.18.144.

Address
0.8.18.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.18.144

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 529,040 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 529040 first appears in π at position 480,185 of the decimal expansion (the 480,185ordinal-suffix:th 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°.