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1,028,736

1,028,736 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.).

1,028,736 (one million twenty-eight thousand seven hundred thirty-six) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 19 × 47. Its proper divisors sum to 2,153,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB280.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,378,201
Square (n²)
1,058,297,757,696
Cube (n³)
1,088,709,002,061,152,256
Divisor count
96
σ(n) — sum of divisors
3,182,400
φ(n) — Euler's totient
317,952
Sum of prime factors
86

Primality

Prime factorization: 2 7 × 3 2 × 19 × 47

Nearest primes: 1,028,683 (−53) · 1,028,737 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 32 · 36 · 38 · 47 · 48 · 57 · 64 · 72 · 76 · 94 · 96 · 114 · 128 · 141 · 144 · 152 · 171 · 188 · 192 · 228 · 282 · 288 · 304 · 342 · 376 · 384 · 423 · 456 · 564 · 576 · 608 · 684 · 752 · 846 · 893 · 912 · 1128 · 1152 · 1216 · 1368 · 1504 · 1692 · 1786 · 1824 · 2256 · 2432 · 2679 · 2736 · 3008 · 3384 · 3572 · 3648 · 4512 · 5358 · 5472 · 6016 · 6768 · 7144 · 7296 · 8037 · 9024 · 10716 · 10944 · 13536 · 14288 · 16074 · 18048 · 21432 · 21888 · 27072 · 28576 · 32148 · 42864 · 54144 · 57152 · 64296 · 85728 · 114304 · 128592 · 171456 · 257184 · 342912 · 514368 (half) · 1028736
Aliquot sum (sum of proper divisors): 2,153,664
Factor pairs (a × b = 1,028,736)
1 × 1028736
2 × 514368
3 × 342912
4 × 257184
6 × 171456
8 × 128592
9 × 114304
12 × 85728
16 × 64296
18 × 57152
19 × 54144
24 × 42864
32 × 32148
36 × 28576
38 × 27072
47 × 21888
48 × 21432
57 × 18048
64 × 16074
72 × 14288
76 × 13536
94 × 10944
96 × 10716
114 × 9024
128 × 8037
141 × 7296
144 × 7144
152 × 6768
171 × 6016
188 × 5472
192 × 5358
228 × 4512
282 × 3648
288 × 3572
304 × 3384
342 × 3008
376 × 2736
384 × 2679
423 × 2432
456 × 2256
564 × 1824
576 × 1786
608 × 1692
684 × 1504
752 × 1368
846 × 1216
893 × 1152
912 × 1128
First multiples
1,028,736 · 2,057,472 (double) · 3,086,208 · 4,114,944 · 5,143,680 · 6,172,416 · 7,201,152 · 8,229,888 · 9,258,624 · 10,287,360

Sums & aliquot sequence

As consecutive integers: 342,911 + 342,912 + 342,913 114,300 + 114,301 + … + 114,308 54,135 + 54,136 + … + 54,153 21,865 + 21,866 + … + 21,911
Aliquot sequence: 1,028,736 2,153,664 4,021,076 3,015,814 1,507,910 1,206,346 603,176 689,464 603,296 655,444 491,590 506,330 488,134 251,234 125,620 162,668 147,964 — unresolved within range

Continued fraction of √n

√1,028,736 = [1014; (3, 1, 3, 10, 12, 20, 4, 1, 14, 4, 2, 5, 1, 4, 2, 2, 1, 3, 1, 4, 2, 12, 1, 4, …)]

Representations

In words
one million twenty-eight thousand seven hundred thirty-six
Ordinal
1028736th
Binary
11111011001010000000
Octal
3731200
Hexadecimal
0xFB280
Base64
D7KA
One's complement
4,293,938,559 (32-bit)
Scientific notation
1.028736 × 10⁶
As a duration
1,028,736 s = 11 days, 21 hours, 45 minutes, 36 seconds
In other bases
ternary (3) 1221021011100
quaternary (4) 3323022000
quinary (5) 230404421
senary (6) 34014400
septenary (7) 11513142
nonary (9) 1837140
undecimal (11) 6429a5
duodecimal (12) 417400
tridecimal (13) 2a0327
tetradecimal (14) 1cac92
pentadecimal (15) 154c26

As an angle

1,028,736° = 2,857 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬八千七百三十六
Chinese (financial)
壹佰零貳萬捌仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٠٢٨٧٣٦ Devanagari १०२८७३६ Bengali ১০২৮৭৩৬ Tamil ௧௦௨௮௭௩௬ Thai ๑๐๒๘๗๓๖ Tibetan ༡༠༢༨༧༣༦ Khmer ១០២៨៧៣៦ Lao ໑໐໒໘໗໓໖ Burmese ၁၀၂၈၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028736, here are decompositions:

  • 53 + 1028683 = 1028736
  • 67 + 1028669 = 1028736
  • 73 + 1028663 = 1028736
  • 89 + 1028647 = 1028736
  • 139 + 1028597 = 1028736
  • 157 + 1028579 = 1028736
  • 167 + 1028569 = 1028736
  • 179 + 1028557 = 1028736

Showing the first eight; more decompositions exist.

Hex color
#0FB280
RGB(15, 178, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.178.128.

Address
0.15.178.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.178.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 8736 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8736-02-01 (DMMYYYY (Euro, single-digit day))
  • 8736-10-02 (MMDYYYY (US, single-digit day))
  • 8736-02-10 (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 1,028,736 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°.