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520,464

520,464 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.).

520,464 (five hundred twenty thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 1,549. Its proper divisors sum to 1,017,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F110.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
464,025
Square (n²)
270,882,775,296
Cube (n³)
140,984,732,761,657,344
Divisor count
40
σ(n) — sum of divisors
1,537,600
φ(n) — Euler's totient
148,608
Sum of prime factors
1,567

Primality

Prime factorization: 2 4 × 3 × 7 × 1549

Nearest primes: 520,451 (−13) · 520,529 (+65)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 1549 · 3098 · 4647 · 6196 · 9294 · 10843 · 12392 · 18588 · 21686 · 24784 · 32529 · 37176 · 43372 · 65058 · 74352 · 86744 · 130116 · 173488 · 260232 (half) · 520464
Aliquot sum (sum of proper divisors): 1,017,136
Factor pairs (a × b = 520,464)
1 × 520464
2 × 260232
3 × 173488
4 × 130116
6 × 86744
7 × 74352
8 × 65058
12 × 43372
14 × 37176
16 × 32529
21 × 24784
24 × 21686
28 × 18588
42 × 12392
48 × 10843
56 × 9294
84 × 6196
112 × 4647
168 × 3098
336 × 1549
First multiples
520,464 · 1,040,928 (double) · 1,561,392 · 2,081,856 · 2,602,320 · 3,122,784 · 3,643,248 · 4,163,712 · 4,684,176 · 5,204,640

Sums & aliquot sequence

As consecutive integers: 173,487 + 173,488 + 173,489 74,349 + 74,350 + … + 74,355 24,774 + 24,775 + … + 24,794 16,249 + 16,250 + … + 16,280
Aliquot sequence: 520,464 1,017,136 971,328 1,599,152 1,536,808 2,011,352 2,392,648 2,442,512 2,289,886 1,170,074 585,040 807,728 840,232 749,528 764,152 731,288 639,892 — unresolved within range

Continued fraction of √n

√520,464 = [721; (2, 3, 5, 1, 4, 1, 4, 2, 9, 1, 5, 1, 4, 5, 1, 4, 6, 1, 1, 57, 5, 1, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand four hundred sixty-four
Ordinal
520464th
Binary
1111111000100010000
Octal
1770420
Hexadecimal
0x7F110
Base64
B/EQ
One's complement
4,294,446,831 (32-bit)
Scientific notation
5.20464 × 10⁵
As a duration
520,464 s = 6 days, 34 minutes, 24 seconds
In other bases
ternary (3) 222102221110
quaternary (4) 1333010100
quinary (5) 113123324
senary (6) 15053320
septenary (7) 4265250
nonary (9) 872843
undecimal (11) 32603a
duodecimal (12) 211240
tridecimal (13) 152b89
tetradecimal (14) d7960
pentadecimal (15) a4329

As an angle

520,464° = 1,445 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκυξδʹ
Chinese
五十二萬零四百六十四
Chinese (financial)
伍拾貳萬零肆佰陸拾肆
In other modern scripts
Eastern Arabic ٥٢٠٤٦٤ Devanagari ५२०४६४ Bengali ৫২০৪৬৪ Tamil ௫௨௦௪௬௪ Thai ๕๒๐๔๖๔ Tibetan ༥༢༠༤༦༤ Khmer ៥២០៤៦៤ Lao ໕໒໐໔໖໔ Burmese ၅၂၀၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520464, here are decompositions:

  • 13 + 520451 = 520464
  • 17 + 520447 = 520464
  • 31 + 520433 = 520464
  • 37 + 520427 = 520464
  • 41 + 520423 = 520464
  • 53 + 520411 = 520464
  • 71 + 520393 = 520464
  • 83 + 520381 = 520464

Showing the first eight; more decompositions exist.

Hex color
#07F110
RGB(7, 241, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.241.16.

Address
0.7.241.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.241.16

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 520,464 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 520464 first appears in π at position 163,224 of the decimal expansion (the 163,224ordinal-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°.