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1,028,016

1,028,016 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.).

1,028,016 (one million twenty-eight thousand sixteen) is an even 7-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 11² × 59. Its proper divisors sum to 2,187,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAFB0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self 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
6,108,201
Square (n²)
1,056,816,896,256
Cube (n³)
1,086,424,678,421,508,096
Divisor count
90
σ(n) — sum of divisors
3,215,940
φ(n) — Euler's totient
306,240
Sum of prime factors
95

Primality

Prime factorization: 2 4 × 3 2 × 11 2 × 59

Nearest primes: 1,028,011 (−5) · 1,028,017 (+1)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 33 · 36 · 44 · 48 · 59 · 66 · 72 · 88 · 99 · 118 · 121 · 132 · 144 · 176 · 177 · 198 · 236 · 242 · 264 · 354 · 363 · 396 · 472 · 484 · 528 · 531 · 649 · 708 · 726 · 792 · 944 · 968 · 1062 · 1089 · 1298 · 1416 · 1452 · 1584 · 1936 · 1947 · 2124 · 2178 · 2596 · 2832 · 2904 · 3894 · 4248 · 4356 · 5192 · 5808 · 5841 · 7139 · 7788 · 8496 · 8712 · 10384 · 11682 · 14278 · 15576 · 17424 · 21417 · 23364 · 28556 · 31152 · 42834 · 46728 · 57112 · 64251 · 85668 · 93456 · 114224 · 128502 · 171336 · 257004 · 342672 · 514008 (half) · 1028016
Aliquot sum (sum of proper divisors): 2,187,924
Factor pairs (a × b = 1,028,016)
1 × 1028016
2 × 514008
3 × 342672
4 × 257004
6 × 171336
8 × 128502
9 × 114224
11 × 93456
12 × 85668
16 × 64251
18 × 57112
22 × 46728
24 × 42834
33 × 31152
36 × 28556
44 × 23364
48 × 21417
59 × 17424
66 × 15576
72 × 14278
88 × 11682
99 × 10384
118 × 8712
121 × 8496
132 × 7788
144 × 7139
176 × 5841
177 × 5808
198 × 5192
236 × 4356
242 × 4248
264 × 3894
354 × 2904
363 × 2832
396 × 2596
472 × 2178
484 × 2124
528 × 1947
531 × 1936
649 × 1584
708 × 1452
726 × 1416
792 × 1298
944 × 1089
968 × 1062
First multiples
1,028,016 · 2,056,032 (double) · 3,084,048 · 4,112,064 · 5,140,080 · 6,168,096 · 7,196,112 · 8,224,128 · 9,252,144 · 10,280,160

Sums & aliquot sequence

As consecutive integers: 342,671 + 342,672 + 342,673 114,220 + 114,221 + … + 114,228 93,451 + 93,452 + … + 93,461 32,110 + 32,111 + … + 32,141
Aliquot sequence: 1,028,016 2,187,924 3,042,924 4,175,364 6,080,476 4,601,804 3,466,396 2,612,852 2,495,020 3,269,732 2,452,306 1,435,694 883,546 447,014 223,510 255,722 141,178 — unresolved within range

Continued fraction of √n

√1,028,016 = [1013; (1, 10, 3, 1, 3, 8, 1, 2, 1, 16, 63, 3, 4, 2, 1, 2, 9, 16, 1, 1, 1, 6, 1, 125, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one million twenty-eight thousand sixteen
Ordinal
1028016th
Binary
11111010111110110000
Octal
3727660
Hexadecimal
0xFAFB0
Base64
D6+w
One's complement
4,293,939,279 (32-bit)
Scientific notation
1.028016 × 10⁶
As a duration
1,028,016 s = 11 days, 21 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 1221020011200
quaternary (4) 3322332300
quinary (5) 230344031
senary (6) 34011200
septenary (7) 11511063
nonary (9) 1836150
undecimal (11) 642400
duodecimal (12) 416b00
tridecimal (13) 29cbc2
tetradecimal (14) 1ca8da
pentadecimal (15) 1548e6

As an angle

1,028,016° = 2,855 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬八千零一十六
Chinese (financial)
壹佰零貳萬捌仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠٢٨٠١٦ Devanagari १०२८०१६ Bengali ১০২৮০১৬ Tamil ௧௦௨௮௦௧௬ Thai ๑๐๒๘๐๑๖ Tibetan ༡༠༢༨༠༡༦ Khmer ១០២៨០១៦ Lao ໑໐໒໘໐໑໖ Burmese ၁၀၂၈၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028016, here are decompositions:

  • 5 + 1028011 = 1028016
  • 13 + 1028003 = 1028016
  • 29 + 1027987 = 1028016
  • 47 + 1027969 = 1028016
  • 163 + 1027853 = 1028016
  • 229 + 1027787 = 1028016
  • 233 + 1027783 = 1028016
  • 239 + 1027777 = 1028016

Showing the first eight; more decompositions exist.

Hex color
#0FAFB0
RGB(15, 175, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.175.176.

Address
0.15.175.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.175.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 8016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8016-02-01 (DMMYYYY (Euro, single-digit day))
  • 8016-10-02 (MMDYYYY (US, single-digit day))
  • 8016-02-10 (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 1,028,016 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°.