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1,006,020

1,006,020 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.).

1,006,020 (one million six thousand twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3⁷ × 5 × 23. Its proper divisors sum to 2,300,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59C4.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
206,001
Square (n²)
1,012,076,240,400
Cube (n³)
1,018,168,939,367,208,000
Divisor count
96
σ(n) — sum of divisors
3,306,240
φ(n) — Euler's totient
256,608
Sum of prime factors
53

Primality

Prime factorization: 2 2 × 3 7 × 5 × 23

Nearest primes: 1,006,007 (−13) · 1,006,021 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 23 · 27 · 30 · 36 · 45 · 46 · 54 · 60 · 69 · 81 · 90 · 92 · 108 · 115 · 135 · 138 · 162 · 180 · 207 · 230 · 243 · 270 · 276 · 324 · 345 · 405 · 414 · 460 · 486 · 540 · 621 · 690 · 729 · 810 · 828 · 972 · 1035 · 1215 · 1242 · 1380 · 1458 · 1620 · 1863 · 2070 · 2187 · 2430 · 2484 · 2916 · 3105 · 3645 · 3726 · 4140 · 4374 · 4860 · 5589 · 6210 · 7290 · 7452 · 8748 · 9315 · 10935 · 11178 · 12420 · 14580 · 16767 · 18630 · 21870 · 22356 · 27945 · 33534 · 37260 · 43740 · 50301 · 55890 · 67068 · 83835 · 100602 · 111780 · 167670 · 201204 · 251505 · 335340 · 503010 (half) · 1006020
Aliquot sum (sum of proper divisors): 2,300,220
Factor pairs (a × b = 1,006,020)
1 × 1006020
2 × 503010
3 × 335340
4 × 251505
5 × 201204
6 × 167670
9 × 111780
10 × 100602
12 × 83835
15 × 67068
18 × 55890
20 × 50301
23 × 43740
27 × 37260
30 × 33534
36 × 27945
45 × 22356
46 × 21870
54 × 18630
60 × 16767
69 × 14580
81 × 12420
90 × 11178
92 × 10935
108 × 9315
115 × 8748
135 × 7452
138 × 7290
162 × 6210
180 × 5589
207 × 4860
230 × 4374
243 × 4140
270 × 3726
276 × 3645
324 × 3105
345 × 2916
405 × 2484
414 × 2430
460 × 2187
486 × 2070
540 × 1863
621 × 1620
690 × 1458
729 × 1380
810 × 1242
828 × 1215
972 × 1035
First multiples
1,006,020 · 2,012,040 (double) · 3,018,060 · 4,024,080 · 5,030,100 · 6,036,120 · 7,042,140 · 8,048,160 · 9,054,180 · 10,060,200

Sums & aliquot sequence

As consecutive integers: 335,339 + 335,340 + 335,341 201,202 + 201,203 + 201,204 + 201,205 + 201,206 125,749 + 125,750 + … + 125,756 111,776 + 111,777 + … + 111,784
Aliquot sequence: 1,006,020 2,300,220 5,221,476 9,360,924 12,790,884 17,112,444 22,965,636 30,620,876 38,471,476 33,197,324 24,898,000 36,615,920 56,257,600 101,978,304 168,610,944 281,600,736 458,569,632 — unresolved within range

Continued fraction of √n

√1,006,020 = [1003; (182, 2, 1, 2, 1, 15, 1, 5, 1, 2, 1, 1, 1, 2, 8, 1, 1, 2, 1, 3, 1, 4, 1, 23, …)]

Representations

In words
one million six thousand twenty
Ordinal
1006020th
Binary
11110101100111000100
Octal
3654704
Hexadecimal
0xF59C4
Base64
D1nE
One's complement
4,293,961,275 (32-bit)
Scientific notation
1.00602 × 10⁶
As a duration
1,006,020 s = 11 days, 15 hours, 27 minutes
In other bases
ternary (3) 1220010000000
quaternary (4) 3311213010
quinary (5) 224143040
senary (6) 33321300
septenary (7) 11360001
nonary (9) 1803000
undecimal (11) 627924
duodecimal (12) 406230
tridecimal (13) 292ba2
tetradecimal (14) 1c28a8
pentadecimal (15) 14d130

As an angle

1,006,020° = 2,794 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese
一百萬六千零二十
Chinese (financial)
壹佰萬陸仟零貳拾
In other modern scripts
Eastern Arabic ١٠٠٦٠٢٠ Devanagari १००६०२० Bengali ১০০৬০২০ Tamil ௧௦௦௬௦௨௦ Thai ๑๐๐๖๐๒๐ Tibetan ༡༠༠༦༠༢༠ Khmer ១០០៦០២០ Lao ໑໐໐໖໐໒໐ Burmese ၁၀၀၆၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006020, here are decompositions:

  • 13 + 1006007 = 1006020
  • 17 + 1006003 = 1006020
  • 31 + 1005989 = 1006020
  • 61 + 1005959 = 1006020
  • 83 + 1005937 = 1006020
  • 89 + 1005931 = 1006020
  • 107 + 1005913 = 1006020
  • 109 + 1005911 = 1006020

Showing the first eight; more decompositions exist.

Hex color
#0F59C4
RGB(15, 89, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.196.

Address
0.15.89.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.89.196

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 1,006,020 and was likely granted around 1911.

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°.