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1,020,096

1,020,096 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.).

1,020,096 (one million twenty thousand ninety-six) is an even 7-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3² × 7 × 11 × 23. Its proper divisors sum to 2,783,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF90C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,900,201
Square (n²)
1,040,595,849,216
Cube (n³)
1,061,507,663,401,844,736
Divisor count
168
σ(n) — sum of divisors
3,803,904
φ(n) — Euler's totient
253,440
Sum of prime factors
59

Primality

Prime factorization: 2 6 × 3 2 × 7 × 11 × 23

Nearest primes: 1,020,079 (−17) · 1,020,101 (+5)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 11 · 12 · 14 · 16 · 18 · 21 · 22 · 23 · 24 · 28 · 32 · 33 · 36 · 42 · 44 · 46 · 48 · 56 · 63 · 64 · 66 · 69 · 72 · 77 · 84 · 88 · 92 · 96 · 99 · 112 · 126 · 132 · 138 · 144 · 154 · 161 · 168 · 176 · 184 · 192 · 198 · 207 · 224 · 231 · 252 · 253 · 264 · 276 · 288 · 308 · 322 · 336 · 352 · 368 · 396 · 414 · 448 · 462 · 483 · 504 · 506 · 528 · 552 · 576 · 616 · 644 · 672 · 693 · 704 · 736 · 759 · 792 · 828 · 924 · 966 · 1008 · 1012 · 1056 · 1104 · 1232 · 1288 · 1344 · 1386 · 1449 · 1472 · 1518 · 1584 · 1656 · 1771 · 1848 · 1932 · 2016 · 2024 · 2112 · 2208 · 2277 · 2464 · 2576 · 2772 · 2898 · 3036 · 3168 · 3312 · 3542 · 3696 · 3864 · 4032 · 4048 · 4416 · 4554 · 4928 · 5152 · 5313 · 5544 · 5796 · 6072 · 6336 · 6624 · 7084 · 7392 · 7728 · 8096 · 9108 · 10304 · 10626 · 11088 · 11592 · 12144 · 13248 · 14168 · 14784 · 15456 · 15939 · 16192 · 18216 · 21252 · 22176 · 23184 · 24288 · 28336 · 30912 · 31878 · 36432 · 42504 · 44352 · 46368 · 48576 · 56672 · 63756 · 72864 · 85008 · 92736 · 113344 · 127512 · 145728 · 170016 · 255024 · 340032 · 510048 (half) · 1020096
Aliquot sum (sum of proper divisors): 2,783,808
Factor pairs (a × b = 1,020,096)
1 × 1020096
2 × 510048
3 × 340032
4 × 255024
6 × 170016
7 × 145728
8 × 127512
9 × 113344
11 × 92736
12 × 85008
14 × 72864
16 × 63756
18 × 56672
21 × 48576
22 × 46368
23 × 44352
24 × 42504
28 × 36432
32 × 31878
33 × 30912
36 × 28336
42 × 24288
44 × 23184
46 × 22176
48 × 21252
56 × 18216
63 × 16192
64 × 15939
66 × 15456
69 × 14784
72 × 14168
77 × 13248
84 × 12144
88 × 11592
92 × 11088
96 × 10626
99 × 10304
112 × 9108
126 × 8096
132 × 7728
138 × 7392
144 × 7084
154 × 6624
161 × 6336
168 × 6072
176 × 5796
184 × 5544
192 × 5313
198 × 5152
207 × 4928
224 × 4554
231 × 4416
252 × 4048
253 × 4032
264 × 3864
276 × 3696
288 × 3542
308 × 3312
322 × 3168
336 × 3036
352 × 2898
368 × 2772
396 × 2576
414 × 2464
448 × 2277
462 × 2208
483 × 2112
504 × 2024
506 × 2016
528 × 1932
552 × 1848
576 × 1771
616 × 1656
644 × 1584
672 × 1518
693 × 1472
704 × 1449
736 × 1386
759 × 1344
792 × 1288
828 × 1232
924 × 1104
966 × 1056
1008 × 1012
First multiples
1,020,096 · 2,040,192 (double) · 3,060,288 · 4,080,384 · 5,100,480 · 6,120,576 · 7,140,672 · 8,160,768 · 9,180,864 · 10,200,960

Sums & aliquot sequence

As consecutive integers: 340,031 + 340,032 + 340,033 145,725 + 145,726 + … + 145,731 113,340 + 113,341 + … + 113,348 92,731 + 92,732 + … + 92,741
Aliquot sequence: 1,020,096 2,783,808 5,537,232 9,959,730 16,117,518 17,146,482 18,329,358 18,394,098 19,581,198 28,620,018 45,548,154 56,543,706 73,447,974 89,572,338 117,050,382 136,558,818 194,494,302 — unresolved within range

Continued fraction of √n

√1,020,096 = [1009; (1, 503, 1, 2018)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million twenty thousand ninety-six
Ordinal
1020096th
Binary
11111001000011000000
Octal
3710300
Hexadecimal
0xF90C0
Base64
D5DA
One's complement
4,293,947,199 (32-bit)
Scientific notation
1.020096 × 10⁶
As a duration
1,020,096 s = 11 days, 19 hours, 21 minutes, 36 seconds
In other bases
ternary (3) 1220211022100
quaternary (4) 3321003000
quinary (5) 230120341
senary (6) 33510400
septenary (7) 11446020
nonary (9) 1824270
undecimal (11) 637460
duodecimal (12) 412400
tridecimal (13) 29940c
tetradecimal (14) 1c7a80
pentadecimal (15) 1523b6

As an angle

1,020,096° = 2,833 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬零九十六
Chinese (financial)
壹佰零貳萬零玖拾陸
In other modern scripts
Eastern Arabic ١٠٢٠٠٩٦ Devanagari १०२००९६ Bengali ১০২০০৯৬ Tamil ௧௦௨௦௦௯௬ Thai ๑๐๒๐๐๙๖ Tibetan ༡༠༢༠༠༩༦ Khmer ១០២០០៩៦ Lao ໑໐໒໐໐໙໖ Burmese ၁၀၂၀၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020096, here are decompositions:

  • 17 + 1020079 = 1020096
  • 19 + 1020077 = 1020096
  • 37 + 1020059 = 1020096
  • 47 + 1020049 = 1020096
  • 53 + 1020043 = 1020096
  • 59 + 1020037 = 1020096
  • 73 + 1020023 = 1020096
  • 83 + 1020013 = 1020096

Showing the first eight; more decompositions exist.

Hex color
#0F90C0
RGB(15, 144, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.192.

Address
0.15.144.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.144.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 0096 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0096-02-01 (DMMYYYY (Euro, single-digit day))
  • 0096-10-02 (MMDYYYY (US, single-digit day))
  • 0096-02-10 (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 1,020,096 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°.