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506,940

506,940 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.).

506,940 (five hundred six thousand nine hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 17 × 71. Its proper divisors sum to 1,234,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7BC3C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
49,605
Square (n²)
256,988,163,600
Cube (n³)
130,277,579,655,384,000
Divisor count
96
σ(n) — sum of divisors
1,741,824
φ(n) — Euler's totient
107,520
Sum of prime factors
107

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 17 × 71

Nearest primes: 506,929 (−11) · 506,941 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 17 · 20 · 21 · 28 · 30 · 34 · 35 · 42 · 51 · 60 · 68 · 70 · 71 · 84 · 85 · 102 · 105 · 119 · 140 · 142 · 170 · 204 · 210 · 213 · 238 · 255 · 284 · 340 · 355 · 357 · 420 · 426 · 476 · 497 · 510 · 595 · 710 · 714 · 852 · 994 · 1020 · 1065 · 1190 · 1207 · 1420 · 1428 · 1491 · 1785 · 1988 · 2130 · 2380 · 2414 · 2485 · 2982 · 3570 · 3621 · 4260 · 4828 · 4970 · 5964 · 6035 · 7140 · 7242 · 7455 · 8449 · 9940 · 12070 · 14484 · 14910 · 16898 · 18105 · 24140 · 25347 · 29820 · 33796 · 36210 · 42245 · 50694 · 72420 · 84490 · 101388 · 126735 · 168980 · 253470 (half) · 506940
Aliquot sum (sum of proper divisors): 1,234,884
Factor pairs (a × b = 506,940)
1 × 506940
2 × 253470
3 × 168980
4 × 126735
5 × 101388
6 × 84490
7 × 72420
10 × 50694
12 × 42245
14 × 36210
15 × 33796
17 × 29820
20 × 25347
21 × 24140
28 × 18105
30 × 16898
34 × 14910
35 × 14484
42 × 12070
51 × 9940
60 × 8449
68 × 7455
70 × 7242
71 × 7140
84 × 6035
85 × 5964
102 × 4970
105 × 4828
119 × 4260
140 × 3621
142 × 3570
170 × 2982
204 × 2485
210 × 2414
213 × 2380
238 × 2130
255 × 1988
284 × 1785
340 × 1491
355 × 1428
357 × 1420
420 × 1207
426 × 1190
476 × 1065
497 × 1020
510 × 994
595 × 852
710 × 714
First multiples
506,940 · 1,013,880 (double) · 1,520,820 · 2,027,760 · 2,534,700 · 3,041,640 · 3,548,580 · 4,055,520 · 4,562,460 · 5,069,400

Sums & aliquot sequence

As consecutive integers: 168,979 + 168,980 + 168,981 101,386 + 101,387 + 101,388 + 101,389 + 101,390 72,417 + 72,418 + … + 72,423 63,364 + 63,365 + … + 63,371
Aliquot sequence: 506,940 1,234,884 2,126,012 2,202,340 3,083,612 3,083,668 3,194,198 2,604,106 1,471,958 735,982 452,954 244,954 122,480 162,472 155,768 136,312 142,688 — unresolved within range

Continued fraction of √n

√506,940 = [711; (1, 354, 1, 1422)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred six thousand nine hundred forty
Ordinal
506940th
Binary
1111011110000111100
Octal
1736074
Hexadecimal
0x7BC3C
Base64
B7w8
One's complement
4,294,460,355 (32-bit)
Scientific notation
5.0694 × 10⁵
As a duration
506,940 s = 5 days, 20 hours, 49 minutes
In other bases
ternary (3) 221202101120
quaternary (4) 1323300330
quinary (5) 112210230
senary (6) 14510540
septenary (7) 4210650
nonary (9) 852346
undecimal (11) 316965
duodecimal (12) 205450
tridecimal (13) 149985
tetradecimal (14) d2a60
pentadecimal (15) a0310

As an angle

506,940° = 1,408 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φϛϡμʹ
Chinese
五十萬六千九百四十
Chinese (financial)
伍拾萬陸仟玖佰肆拾
In other modern scripts
Eastern Arabic ٥٠٦٩٤٠ Devanagari ५०६९४० Bengali ৫০৬৯৪০ Tamil ௫௦௬௯௪௦ Thai ๕๐๖๙๔๐ Tibetan ༥༠༦༩༤༠ Khmer ៥០៦៩៤០ Lao ໕໐໖໙໔໐ Burmese ၅၀၆၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 506940, here are decompositions:

  • 11 + 506929 = 506940
  • 29 + 506911 = 506940
  • 37 + 506903 = 506940
  • 41 + 506899 = 506940
  • 47 + 506893 = 506940
  • 53 + 506887 = 506940
  • 67 + 506873 = 506940
  • 79 + 506861 = 506940

Showing the first eight; more decompositions exist.

Hex color
#07BC3C
RGB(7, 188, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.188.60.

Address
0.7.188.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.188.60

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 506,940 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°.