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1,061,728

1,061,728 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.).

1,061,728 (one million sixty-one thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 33,179. Written other ways, in hexadecimal, 0x103360.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
8,271,601
Square (n²)
1,127,266,345,984
Cube (n³)
1,196,850,242,988,900,352
Divisor count
12
σ(n) — sum of divisors
2,090,340
φ(n) — Euler's totient
530,848
Sum of prime factors
33,189

Primality

Prime factorization: 2 5 × 33179

Nearest primes: 1,061,717 (−11) · 1,061,729 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 33179 · 66358 · 132716 · 265432 · 530864 (half) · 1061728
Aliquot sum (sum of proper divisors): 1,028,612
Factor pairs (a × b = 1,061,728)
1 × 1061728
2 × 530864
4 × 265432
8 × 132716
16 × 66358
32 × 33179
First multiples
1,061,728 · 2,123,456 (double) · 3,185,184 · 4,246,912 · 5,308,640 · 6,370,368 · 7,432,096 · 8,493,824 · 9,555,552 · 10,617,280

Sums & aliquot sequence

As consecutive integers: 16,558 + 16,559 + … + 16,621
Aliquot sequence: 1,061,728 → 1,028,612 → 937,660 → 1,050,116 → 810,316 → 716,916 → 955,916 → 906,868 → 689,804 → 523,324 → 415,124 → 324,076 → 243,064 → 232,856 → 237,544 → 227,576 → 199,144 — unresolved within range

Continued fraction of √n

√1,061,728 = [1030; (2, 2, 21, 14, 1, 228, 22, 2, 1, 1, 8, 1, 1, 1, 4, 25, 4, 2, 2, 22, 1, 2, 1, 15, …)]

Representations

In words
one million sixty-one thousand seven hundred twenty-eight
Ordinal
1061728th
Binary
100000011001101100000
Octal
4031540
Hexadecimal
0x103360
Base64
EDNg
One's complement
4,293,905,567 (32-bit)
Scientific notation
1.061728 × 10⁶
As a duration
1,061,728 s = 12 days, 6 hours, 55 minutes, 28 seconds
In other bases
ternary (3) 1222221102021
quaternary (4) 10003031200
quinary (5) 232433403
senary (6) 34431224
septenary (7) 12011263
nonary (9) 1887367
undecimal (11) 665768
duodecimal (12) 432514
tridecimal (13) 2b2355
tetradecimal (14) 1d8cda
pentadecimal (15) 15e8bd

As an angle

1,061,728° = 2,949 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零六萬一千七百二十八
Chinese (financial)
壹佰零陸萬壹仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٦١٧٢٨ Devanagari १०६१७२८ Bengali ১০৬১৭২৮ Tamil ௧௦௬௧௭௨௮ Thai ๑๐๖๑๗๒๘ Tibetan ༡༠༦༡༧༢༨ Khmer ១០៦១៧២៨ Lao ໑໐໖໑໗໒໘ Burmese ၁၀၆၁၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061728, here are decompositions:

  • 11 + 1061717 = 1061728
  • 29 + 1061699 = 1061728
  • 131 + 1061597 = 1061728
  • 137 + 1061591 = 1061728
  • 167 + 1061561 = 1061728
  • 431 + 1061297 = 1061728
  • 449 + 1061279 = 1061728
  • 467 + 1061261 = 1061728

Showing the first eight; more decompositions exist.

Hex color
#103360
RGB(16, 51, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.51.96.

Address
0.16.51.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.51.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 6, 1728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1728-06-01 (DMMYYYY (Euro, single-digit day))
  • 1728-10-06 (MMDYYYY (US, single-digit day))
  • 1728-06-10 (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 1,061,728 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°.