Live analysis

520,520

520,520 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.).

520,520 (five hundred twenty thousand five hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 5 × 7 × 11 × 13². Its proper divisors sum to 1,060,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F148.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

520,508 520,509 520,510 520,511 520,512 520,513 520,514 520,515 520,516 520,517 520,518 520,519 520,520 520,521 520,522 520,523 520,524 520,525 520,526 520,527 520,528 520,529 520,530 520,531 520,532

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 25,025
Square (n²): 270,941,070,400
Cube (n³): 141,030,245,964,608,000
Divisor count: 96
σ(n) — sum of divisors: 1,581,120
φ(n) — Euler's totient: 149,760
Sum of prime factors: 55

Primality

Prime factorization: 2 ³ × 5 × 7 × 11 × 13 ²

Nearest primes: 520,451 (−69) · 520,529 (+9)

Divisors & multiples

All divisors (96)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 13 · 14 · 20 · 22 · 26 · 28 · 35 · 40 · 44 · 52 · 55 · 56 · 65 · 70 · 77 · 88 · 91 · 104 · 110 · 130 · 140 · 143 · 154 · 169 · 182 · 220 · 260 · 280 · 286 · 308 · 338 · 364 · 385 · 440 · 455 · 520 · 572 · 616 · 676 · 715 · 728 · 770 · 845 · 910 · 1001 · 1144 · 1183 · 1352 · 1430 · 1540 · 1690 · 1820 · 1859 · 2002 · 2366 · 2860 · 3080 · 3380 · 3640 · 3718 · 4004 · 4732 · 5005 · 5720 · 5915 · 6760 · 7436 · 8008 · 9295 · 9464 · 10010 · 11830 · 13013 · 14872 · 18590 · 20020 · 23660 · 26026 · 37180 · 40040 · 47320 · 52052 · 65065 · 74360 · 104104 · 130130 · 260260 (half) · 520520

Aliquot sum (sum of proper divisors): 1,060,600

Factor pairs (a × b = 520,520)

1 × 520520

2 × 260260

4 × 130130

5 × 104104

7 × 74360

8 × 65065

10 × 52052

11 × 47320

13 × 40040

14 × 37180

20 × 26026

22 × 23660

26 × 20020

28 × 18590

35 × 14872

40 × 13013

44 × 11830

52 × 10010

55 × 9464

56 × 9295

65 × 8008

70 × 7436

77 × 6760

88 × 5915

91 × 5720

104 × 5005

110 × 4732

130 × 4004

140 × 3718

143 × 3640

154 × 3380

169 × 3080

182 × 2860

220 × 2366

260 × 2002

280 × 1859

286 × 1820

308 × 1690

338 × 1540

364 × 1430

385 × 1352

440 × 1183

455 × 1144

520 × 1001

572 × 910

616 × 845

676 × 770

715 × 728

First multiples

520,520 · 1,041,040 (double) · 1,561,560 · 2,082,080 · 2,602,600 · 3,123,120 · 3,643,640 · 4,164,160 · 4,684,680 · 5,205,200

Sums & aliquot sequence

As consecutive integers: 104,102 + 104,103 + 104,104 + 104,105 + 104,106 74,357 + 74,358 + … + 74,363 47,315 + 47,316 + … + 47,325 40,034 + 40,035 + … + 40,046

Aliquot sequence: 520,520 → 1,060,600 → 1,405,760 → 2,105,536 → 2,118,992 → 1,986,586 → 1,638,470 → 1,310,794 → 664,886 → 384,994 → 192,500 → 332,332 → 457,940 → 641,452 → 684,628 → 715,372 → 766,388 — unresolved within range

Continued fraction of √n

√520,520 = [721; (2, 8, 26, 8, 2, 1442)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty thousand five hundred twenty
Ordinal: 520520th
Binary: 1111111000101001000
Octal: 1770510
Hexadecimal: 0x7F148
Base64: B/FI
One's complement: 4,294,446,775 (32-bit)
Scientific notation: 5.2052 × 10⁵
As a duration: 520,520 s = 6 days, 35 minutes, 20 seconds

In other bases

ternary (3) 222110000112

quaternary (4) 1333011020

quinary (5) 113124040

senary (6) 15053452

septenary (7) 4265360

nonary (9) 873015

undecimal (11) 326090

duodecimal (12) 211288

tridecimal (13) 152c00

tetradecimal (14) d79a0

pentadecimal (15) a4365

As an angle

520,520° = 1,445 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵φκφκʹ
Chinese: 五十二萬零五百二十
Chinese (financial): 伍拾貳萬零伍佰貳拾

In other modern scripts

Eastern Arabic ٥٢٠٥٢٠ Devanagari ५२०५२० Bengali ৫২০৫২০ Tamil ௫௨௦௫௨௦ Thai ๕๒๐๕๒๐ Tibetan ༥༢༠༥༢༠ Khmer ៥២០៥២០ Lao ໕໒໐໕໒໐ Burmese ၅၂၀၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520520, here are decompositions:

73 + 520447 = 520520
97 + 520423 = 520520
109 + 520411 = 520520
127 + 520393 = 520520
139 + 520381 = 520520
151 + 520369 = 520520
157 + 520363 = 520520
163 + 520357 = 520520

Showing the first eight; more decompositions exist.

Hex color

#07F148

RGB(7, 241, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.241.72.

Address: 0.7.241.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.241.72

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 520,520 and was likely granted around 1894.

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

Look up US520,520 on Google Patents ↗ Look up on USPTO ↗