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501,390

501,390 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.).

501,390 (five hundred one thousand three hundred ninety) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2 × 3⁴ × 5 × 619. Its proper divisors sum to 848,970, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A68E.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
93,105
Square (n²)
251,391,932,100
Cube (n³)
126,045,400,835,619,000
Divisor count
40
σ(n) — sum of divisors
1,350,360
φ(n) — Euler's totient
133,488
Sum of prime factors
638

Primality

Prime factorization: 2 × 3 4 × 5 × 619

Nearest primes: 501,383 (−7) · 501,401 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 27 · 30 · 45 · 54 · 81 · 90 · 135 · 162 · 270 · 405 · 619 · 810 · 1238 · 1857 · 3095 · 3714 · 5571 · 6190 · 9285 · 11142 · 16713 · 18570 · 27855 · 33426 · 50139 · 55710 · 83565 · 100278 · 167130 · 250695 (half) · 501390
Aliquot sum (sum of proper divisors): 848,970
Factor pairs (a × b = 501,390)
1 × 501390
2 × 250695
3 × 167130
5 × 100278
6 × 83565
9 × 55710
10 × 50139
15 × 33426
18 × 27855
27 × 18570
30 × 16713
45 × 11142
54 × 9285
81 × 6190
90 × 5571
135 × 3714
162 × 3095
270 × 1857
405 × 1238
619 × 810
First multiples
501,390 · 1,002,780 (double) · 1,504,170 · 2,005,560 · 2,506,950 · 3,008,340 · 3,509,730 · 4,011,120 · 4,512,510 · 5,013,900

Sums & aliquot sequence

As consecutive integers: 167,129 + 167,130 + 167,131 125,346 + 125,347 + 125,348 + 125,349 100,276 + 100,277 + 100,278 + 100,279 + 100,280 55,706 + 55,707 + … + 55,714
Aliquot sequence: 501,390 848,970 1,358,586 1,699,014 1,899,114 2,493,846 2,909,526 3,008,874 3,556,086 3,556,098 6,036,030 15,349,698 25,587,198 46,666,242 76,810,878 93,155,490 149,049,018 — unresolved within range

Continued fraction of √n

√501,390 = [708; (11, 4, 5, 3, 48, 1, 1, 11, 1, 4, 4, 41, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, …)]

Representations

In words
five hundred one thousand three hundred ninety
Ordinal
501390th
Binary
1111010011010001110
Octal
1723216
Hexadecimal
0x7A68E
Base64
B6aO
One's complement
4,294,465,905 (32-bit)
Scientific notation
5.0139 × 10⁵
As a duration
501,390 s = 5 days, 19 hours, 16 minutes, 30 seconds
In other bases
ternary (3) 221110210000
quaternary (4) 1322122032
quinary (5) 112021030
senary (6) 14425130
septenary (7) 4155531
nonary (9) 843700
undecimal (11) 31277a
duodecimal (12) 2021a6
tridecimal (13) 1472a6
tetradecimal (14) d0a18
pentadecimal (15) 9d860

As an angle

501,390° = 1,392 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φατϟʹ
Chinese
五十萬一千三百九十
Chinese (financial)
伍拾萬壹仟參佰玖拾
In other modern scripts
Eastern Arabic ٥٠١٣٩٠ Devanagari ५०१३९० Bengali ৫০১৩৯০ Tamil ௫௦௧௩௯௦ Thai ๕๐๑๓๙๐ Tibetan ༥༠༡༣༩༠ Khmer ៥០១៣៩០ Lao ໕໐໑໓໙໐ Burmese ၅၀၁၃၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501390, here are decompositions:

  • 7 + 501383 = 501390
  • 23 + 501367 = 501390
  • 47 + 501343 = 501390
  • 73 + 501317 = 501390
  • 103 + 501287 = 501390
  • 157 + 501233 = 501390
  • 167 + 501223 = 501390
  • 173 + 501217 = 501390

Showing the first eight; more decompositions exist.

Hex color
#07A68E
RGB(7, 166, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.142.

Address
0.7.166.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.166.142

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 501,390 and was likely granted around 1893.

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

Position in π

The digit sequence 501390 first appears in π at position 481,134 of the decimal expansion (the 481,134ordinal-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°.