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512,040

512,040 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.).

512,040 (five hundred twelve thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 251. Its proper divisors sum to 1,120,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D028.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
40,215
Square (n²)
262,184,961,600
Cube (n³)
134,249,187,737,664,000
Divisor count
64
σ(n) — sum of divisors
1,632,960
φ(n) — Euler's totient
128,000
Sum of prime factors
282

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 251

Nearest primes: 512,021 (−19) · 512,047 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 251 · 255 · 340 · 408 · 502 · 510 · 680 · 753 · 1004 · 1020 · 1255 · 1506 · 2008 · 2040 · 2510 · 3012 · 3765 · 4267 · 5020 · 6024 · 7530 · 8534 · 10040 · 12801 · 15060 · 17068 · 21335 · 25602 · 30120 · 34136 · 42670 · 51204 · 64005 · 85340 · 102408 · 128010 · 170680 · 256020 (half) · 512040
Aliquot sum (sum of proper divisors): 1,120,920
Factor pairs (a × b = 512,040)
1 × 512040
2 × 256020
3 × 170680
4 × 128010
5 × 102408
6 × 85340
8 × 64005
10 × 51204
12 × 42670
15 × 34136
17 × 30120
20 × 25602
24 × 21335
30 × 17068
34 × 15060
40 × 12801
51 × 10040
60 × 8534
68 × 7530
85 × 6024
102 × 5020
120 × 4267
136 × 3765
170 × 3012
204 × 2510
251 × 2040
255 × 2008
340 × 1506
408 × 1255
502 × 1020
510 × 1004
680 × 753
First multiples
512,040 · 1,024,080 (double) · 1,536,120 · 2,048,160 · 2,560,200 · 3,072,240 · 3,584,280 · 4,096,320 · 4,608,360 · 5,120,400

Sums & aliquot sequence

As consecutive integers: 170,679 + 170,680 + 170,681 102,406 + 102,407 + 102,408 + 102,409 + 102,410 34,129 + 34,130 + … + 34,143 31,995 + 31,996 + … + 32,010
Aliquot sequence: 512,040 1,120,920 2,242,200 4,967,160 11,829,000 25,086,840 54,141,960 108,284,280 250,301,640 534,869,880 1,069,740,120 2,279,020,200 4,785,944,280 10,745,017,320 — keeps growing

Continued fraction of √n

√512,040 = [715; (1, 1, 3, 11, 1, 1, 5, 2, 7, 29, 13, 1, 2, 1, 1, 1, 12, 3, 1, 7, 1, 2, 2, 23, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
five hundred twelve thousand forty
Ordinal
512040th
Binary
1111101000000101000
Octal
1750050
Hexadecimal
0x7D028
Base64
B9Ao
One's complement
4,294,455,255 (32-bit)
Scientific notation
5.1204 × 10⁵
As a duration
512,040 s = 5 days, 22 hours, 14 minutes
In other bases
ternary (3) 222000101110
quaternary (4) 1331000220
quinary (5) 112341130
senary (6) 14550320
septenary (7) 4231554
nonary (9) 860343
undecimal (11) 31a781
duodecimal (12) 2083a0
tridecimal (13) 14c0a9
tetradecimal (14) d4864
pentadecimal (15) a1ab0

As an angle

512,040° = 1,422 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φιβμʹ
Chinese
五十一萬二千零四十
Chinese (financial)
伍拾壹萬貳仟零肆拾
In other modern scripts
Eastern Arabic ٥١٢٠٤٠ Devanagari ५१२०४० Bengali ৫১২০৪০ Tamil ௫௧௨௦௪௦ Thai ๕๑๒๐๔๐ Tibetan ༥༡༢༠༤༠ Khmer ៥១២០៤០ Lao ໕໑໒໐໔໐ Burmese ၅၁၂၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 512040, here are decompositions:

  • 19 + 512021 = 512040
  • 29 + 512011 = 512040
  • 31 + 512009 = 512040
  • 43 + 511997 = 512040
  • 79 + 511961 = 512040
  • 101 + 511939 = 512040
  • 107 + 511933 = 512040
  • 131 + 511909 = 512040

Showing the first eight; more decompositions exist.

Hex color
#07D028
RGB(7, 208, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.208.40.

Address
0.7.208.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.208.40

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 512,040 and was likely granted around 1893.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.