Live analysis

521,040

521,040 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.).

521,040 (five hundred twenty-one thousand forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 167. Its proper divisors sum to 1,228,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F350.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

521,028 521,029 521,030 521,031 521,032 521,033 521,034 521,035 521,036 521,037 521,038 521,039 521,040 521,041 521,042 521,043 521,044 521,045 521,046 521,047 521,048 521,049 521,050 521,051 521,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 40,125
Square (n²): 271,482,681,600
Cube (n³): 141,453,336,420,864,000
Divisor count: 80
σ(n) — sum of divisors: 1,749,888
φ(n) — Euler's totient: 127,488
Sum of prime factors: 196

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 13 × 167

Nearest primes: 521,039 (−1) · 521,041 (+1)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 39 · 40 · 48 · 52 · 60 · 65 · 78 · 80 · 104 · 120 · 130 · 156 · 167 · 195 · 208 · 240 · 260 · 312 · 334 · 390 · 501 · 520 · 624 · 668 · 780 · 835 · 1002 · 1040 · 1336 · 1560 · 1670 · 2004 · 2171 · 2505 · 2672 · 3120 · 3340 · 4008 · 4342 · 5010 · 6513 · 6680 · 8016 · 8684 · 10020 · 10855 · 13026 · 13360 · 17368 · 20040 · 21710 · 26052 · 32565 · 34736 · 40080 · 43420 · 52104 · 65130 · 86840 · 104208 · 130260 · 173680 · 260520 (half) · 521040

Aliquot sum (sum of proper divisors): 1,228,848

Factor pairs (a × b = 521,040)

1 × 521040

2 × 260520

3 × 173680

4 × 130260

5 × 104208

6 × 86840

8 × 65130

10 × 52104

12 × 43420

13 × 40080

15 × 34736

16 × 32565

20 × 26052

24 × 21710

26 × 20040

30 × 17368

39 × 13360

40 × 13026

48 × 10855

52 × 10020

60 × 8684

65 × 8016

78 × 6680

80 × 6513

104 × 5010

120 × 4342

130 × 4008

156 × 3340

167 × 3120

195 × 2672

208 × 2505

240 × 2171

260 × 2004

312 × 1670

334 × 1560

390 × 1336

501 × 1040

520 × 1002

624 × 835

668 × 780

First multiples

521,040 · 1,042,080 (double) · 1,563,120 · 2,084,160 · 2,605,200 · 3,126,240 · 3,647,280 · 4,168,320 · 4,689,360 · 5,210,400

Sums & aliquot sequence

As consecutive integers: 173,679 + 173,680 + 173,681 104,206 + 104,207 + 104,208 + 104,209 + 104,210 40,074 + 40,075 + … + 40,086 34,729 + 34,730 + … + 34,743

Aliquot sequence: 521,040 → 1,228,848 → 1,945,800 → 5,018,040 → 11,661,480 → 27,580,320 → 67,947,840 → 165,774,324 → 234,371,436 → 354,562,308 → 545,024,380 → 599,526,860 → 702,894,820 → 773,184,344 → 761,814,256 → 954,861,584 → 895,182,766 — unresolved within range

Continued fraction of √n

√521,040 = [721; (1, 4, 1, 11, 10, 4, 2, 1, 1, 21, 1, 28, 1, 1, 36, 1, 1, 28, 1, 21, 1, 1, 2, 4, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty-one thousand forty
Ordinal: 521040th
Binary: 1111111001101010000
Octal: 1771520
Hexadecimal: 0x7F350
Base64: B/NQ
One's complement: 4,294,446,255 (32-bit)
Scientific notation: 5.2104 × 10⁵
As a duration: 521,040 s = 6 days, 44 minutes

In other bases

ternary (3) 222110201210

quaternary (4) 1333031100

quinary (5) 113133130

senary (6) 15100120

septenary (7) 4300032

nonary (9) 873653

undecimal (11) 326513

duodecimal (12) 211640

tridecimal (13) 153210

tetradecimal (14) d7c52

pentadecimal (15) a45b0

As an angle

521,040° = 1,447 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φκαμʹ
Chinese: 五十二萬一千零四十
Chinese (financial): 伍拾貳萬壹仟零肆拾

In other modern scripts

Eastern Arabic ٥٢١٠٤٠ Devanagari ५२१०४० Bengali ৫২১০৪০ Tamil ௫௨௧௦௪௦ Thai ๕๒๑๐๔๐ Tibetan ༥༢༡༠༤༠ Khmer ៥២១០៤០ Lao ໕໒໑໐໔໐ Burmese ၅၂၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521040, here are decompositions:

17 + 521023 = 521040
19 + 521021 = 521040
31 + 521009 = 521040
59 + 520981 = 521040
71 + 520969 = 521040
73 + 520967 = 521040
83 + 520957 = 521040
97 + 520943 = 521040

Showing the first eight; more decompositions exist.

Hex color

#07F350

RGB(7, 243, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.243.80.

Address: 0.7.243.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.243.80

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 521,040 and was likely granted around 1894.

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

Look up US521,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 521040 first appears in π at position 352,623 of the decimal expansion (the 352,623ordinal-suffix:rd 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.

Look up 521040 on Pi Search ↗