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1,049,728

1,049,728 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.).

1,049,728 (one million forty-nine thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 59 × 139. Its proper divisors sum to 1,092,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100480.

Abundant Number Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
8,279,401
Square (n²)
1,101,928,873,984
Cube (n³)
1,156,725,593,029,476,352
Divisor count
32
σ(n) — sum of divisors
2,142,000
φ(n) — Euler's totient
512,256
Sum of prime factors
212

Primality

Prime factorization: 2 7 × 59 × 139

Nearest primes: 1,049,717 (−11) · 1,049,747 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 32 · 59 · 64 · 118 · 128 · 139 · 236 · 278 · 472 · 556 · 944 · 1112 · 1888 · 2224 · 3776 · 4448 · 7552 · 8201 · 8896 · 16402 · 17792 · 32804 · 65608 · 131216 · 262432 · 524864 (half) · 1049728
Aliquot sum (sum of proper divisors): 1,092,272
Factor pairs (a × b = 1,049,728)
1 × 1049728
2 × 524864
4 × 262432
8 × 131216
16 × 65608
32 × 32804
59 × 17792
64 × 16402
118 × 8896
128 × 8201
139 × 7552
236 × 4448
278 × 3776
472 × 2224
556 × 1888
944 × 1112
First multiples
1,049,728 · 2,099,456 (double) · 3,149,184 · 4,198,912 · 5,248,640 · 6,298,368 · 7,348,096 · 8,397,824 · 9,447,552 · 10,497,280

Sums & aliquot sequence

As consecutive integers: 17,763 + 17,764 + … + 17,821 7,483 + 7,484 + … + 7,621 3,973 + 3,974 + … + 4,228
Aliquot sequence: 1,049,728 1,092,272 1,136,008 1,119,572 877,024 849,680 1,441,840 1,973,120 2,745,400 4,888,040 6,110,140 7,476,692 5,607,526 2,988,698 1,494,352 1,451,888 1,391,680 — unresolved within range

Continued fraction of √n

√1,049,728 = [1024; (1, 1, 3, 1, 1, 24, 1, 2, 1, 3, 1, 1, 19, 2, 1, 49, 3, 3, 1, 3, 1, 4, 8, 11, …)]

Representations

In words
one million forty-nine thousand seven hundred twenty-eight
Ordinal
1049728th
Binary
100000000010010000000
Octal
4002200
Hexadecimal
0x100480
Base64
EASA
One's complement
4,293,917,567 (32-bit)
Scientific notation
1.049728 × 10⁶
As a duration
1,049,728 s = 12 days, 3 hours, 35 minutes, 28 seconds
In other bases
ternary (3) 1222022221211
quaternary (4) 10000102000
quinary (5) 232042403
senary (6) 34255504
septenary (7) 11631301
nonary (9) 1868854
undecimal (11) 657749
duodecimal (12) 427594
tridecimal (13) 2a9a54
tetradecimal (14) 1d47a8
pentadecimal (15) 15b06d

As an angle

1,049,728° = 2,915 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬九千七百二十八
Chinese (financial)
壹佰零肆萬玖仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٤٩٧٢٨ Devanagari १०४९७२८ Bengali ১০৪৯৭২৮ Tamil ௧௦௪௯௭௨௮ Thai ๑๐๔๙๗๒๘ Tibetan ༡༠༤༩༧༢༨ Khmer ១០៤៩៧២៨ Lao ໑໐໔໙໗໒໘ Burmese ၁၀၄၉၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049728, here are decompositions:

  • 11 + 1049717 = 1049728
  • 41 + 1049687 = 1049728
  • 47 + 1049681 = 1049728
  • 89 + 1049639 = 1049728
  • 179 + 1049549 = 1049728
  • 191 + 1049537 = 1049728
  • 257 + 1049471 = 1049728
  • 269 + 1049459 = 1049728

Showing the first eight; more decompositions exist.

Hex color
#100480
RGB(16, 4, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.4.128.

Address
0.16.4.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.4.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 9728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9728-04-01 (DMMYYYY (Euro, single-digit day))
  • 9728-10-04 (MMDYYYY (US, single-digit day))
  • 9728-04-10 (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 1,049,728 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°.