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1,021,020

1,021,020 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.).

1,021,020 (one million twenty-one thousand twenty) is an even 7-digit number. It is a composite number with 192 divisors, and factors as 2² × 3 × 5 × 7 × 11 × 13 × 17. Its proper divisors sum to 3,043,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF945C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
201,201
Square (n²)
1,042,481,840,400
Cube (n³)
1,064,394,808,685,208,000
Divisor count
192
σ(n) — sum of divisors
4,064,256
φ(n) — Euler's totient
184,320
Sum of prime factors
60

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 11 × 13 × 17

Nearest primes: 1,021,019 (−1) · 1,021,043 (+23)

Divisors & multiples

All divisors (192)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 11 · 12 · 13 · 14 · 15 · 17 · 20 · 21 · 22 · 26 · 28 · 30 · 33 · 34 · 35 · 39 · 42 · 44 · 51 · 52 · 55 · 60 · 65 · 66 · 68 · 70 · 77 · 78 · 84 · 85 · 91 · 102 · 105 · 110 · 119 · 130 · 132 · 140 · 143 · 154 · 156 · 165 · 170 · 182 · 187 · 195 · 204 · 210 · 220 · 221 · 231 · 238 · 255 · 260 · 273 · 286 · 308 · 330 · 340 · 357 · 364 · 374 · 385 · 390 · 420 · 429 · 442 · 455 · 462 · 476 · 510 · 546 · 561 · 572 · 595 · 660 · 663 · 714 · 715 · 748 · 770 · 780 · 858 · 884 · 910 · 924 · 935 · 1001 · 1020 · 1092 · 1105 · 1122 · 1155 · 1190 · 1309 · 1326 · 1365 · 1428 · 1430 · 1540 · 1547 · 1716 · 1785 · 1820 · 1870 · 2002 · 2145 · 2210 · 2244 · 2310 · 2380 · 2431 · 2618 · 2652 · 2730 · 2805 · 2860 · 3003 · 3094 · 3315 · 3570 · 3740 · 3927 · 4004 · 4290 · 4420 · 4620 · 4641 · 4862 · 5005 · 5236 · 5460 · 5610 · 6006 · 6188 · 6545 · 6630 · 7140 · 7293 · 7735 · 7854 · 8580 · 9282 · 9724 · 10010 · 11220 · 12012 · 12155 · 13090 · 13260 · 14586 · 15015 · 15470 · 15708 · 17017 · 18564 · 19635 · 20020 · 23205 · 24310 · 26180 · 29172 · 30030 · 30940 · 34034 · 36465 · 39270 · 46410 · 48620 · 51051 · 60060 · 68068 · 72930 · 78540 · 85085 · 92820 · 102102 · 145860 · 170170 · 204204 · 255255 · 340340 · 510510 (half) · 1021020
Aliquot sum (sum of proper divisors): 3,043,236
Factor pairs (a × b = 1,021,020)
1 × 1021020
2 × 510510
3 × 340340
4 × 255255
5 × 204204
6 × 170170
7 × 145860
10 × 102102
11 × 92820
12 × 85085
13 × 78540
14 × 72930
15 × 68068
17 × 60060
20 × 51051
21 × 48620
22 × 46410
26 × 39270
28 × 36465
30 × 34034
33 × 30940
34 × 30030
35 × 29172
39 × 26180
42 × 24310
44 × 23205
51 × 20020
52 × 19635
55 × 18564
60 × 17017
65 × 15708
66 × 15470
68 × 15015
70 × 14586
77 × 13260
78 × 13090
84 × 12155
85 × 12012
91 × 11220
102 × 10010
105 × 9724
110 × 9282
119 × 8580
130 × 7854
132 × 7735
140 × 7293
143 × 7140
154 × 6630
156 × 6545
165 × 6188
170 × 6006
182 × 5610
187 × 5460
195 × 5236
204 × 5005
210 × 4862
220 × 4641
221 × 4620
231 × 4420
238 × 4290
255 × 4004
260 × 3927
273 × 3740
286 × 3570
308 × 3315
330 × 3094
340 × 3003
357 × 2860
364 × 2805
374 × 2730
385 × 2652
390 × 2618
420 × 2431
429 × 2380
442 × 2310
455 × 2244
462 × 2210
476 × 2145
510 × 2002
546 × 1870
561 × 1820
572 × 1785
595 × 1716
660 × 1547
663 × 1540
714 × 1430
715 × 1428
748 × 1365
770 × 1326
780 × 1309
858 × 1190
884 × 1155
910 × 1122
924 × 1105
935 × 1092
1001 × 1020
First multiples
1,021,020 · 2,042,040 (double) · 3,063,060 · 4,084,080 · 5,105,100 · 6,126,120 · 7,147,140 · 8,168,160 · 9,189,180 · 10,210,200

Sums & aliquot sequence

As consecutive integers: 340,339 + 340,340 + 340,341 204,202 + 204,203 + 204,204 + 204,205 + 204,206 145,857 + 145,858 + … + 145,863 127,624 + 127,625 + … + 127,631
Aliquot sequence: 1,021,020 3,043,236 5,072,284 5,282,116 5,434,940 7,609,252 8,135,708 8,577,604 8,735,804 10,569,412 10,681,468 10,681,524 21,574,476 48,383,412 92,371,020 203,217,588 385,256,844 — unresolved within range

Continued fraction of √n

√1,021,020 = [1010; (2, 5, 10, 5, 2, 2020)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand twenty
Ordinal
1021020th
Binary
11111001010001011100
Octal
3712134
Hexadecimal
0xF945C
Base64
D5Rc
One's complement
4,293,946,275 (32-bit)
Scientific notation
1.02102 × 10⁶
As a duration
1,021,020 s = 11 days, 19 hours, 37 minutes
In other bases
ternary (3) 1220212120120
quaternary (4) 3321101130
quinary (5) 230133040
senary (6) 33514540
septenary (7) 11451510
nonary (9) 1825516
undecimal (11) 638120
duodecimal (12) 412a50
tridecimal (13) 299970
tetradecimal (14) 1c8140
pentadecimal (15) 1527d0

As an angle

1,021,020° = 2,836 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓎆𓎆
Chinese
一百零二萬一千零二十
Chinese (financial)
壹佰零貳萬壹仟零貳拾
In other modern scripts
Eastern Arabic ١٠٢١٠٢٠ Devanagari १०२१०२० Bengali ১০২১০২০ Tamil ௧௦௨௧௦௨௦ Thai ๑๐๒๑๐๒๐ Tibetan ༡༠༢༡༠༢༠ Khmer ១០២១០២០ Lao ໑໐໒໑໐໒໐ Burmese ၁၀၂၁၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021020, here are decompositions:

  • 19 + 1021001 = 1021020
  • 23 + 1020997 = 1021020
  • 29 + 1020991 = 1021020
  • 31 + 1020989 = 1021020
  • 41 + 1020979 = 1021020
  • 43 + 1020977 = 1021020
  • 47 + 1020973 = 1021020
  • 53 + 1020967 = 1021020

Showing the first eight; more decompositions exist.

Hex color
#0F945C
RGB(15, 148, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.92.

Address
0.15.148.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.148.92

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 1020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1020-02-01 (DMMYYYY (Euro, single-digit day))
  • 1020-10-02 (MMDYYYY (US, single-digit day))
  • 1020-02-10 (DDMYYYY (Euro, single-digit month))
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 1,021,020 and was likely granted around 1912.

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°.