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1,026,032

1,026,032 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.).

1,026,032 (one million twenty-six thousand thirty-two) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 9,161. Its proper divisors sum to 1,246,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA7F0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
2,306,201
Square (n²)
1,052,741,665,024
Cube (n³)
1,080,146,636,047,904,768
Divisor count
20
σ(n) — sum of divisors
2,272,176
φ(n) — Euler's totient
439,680
Sum of prime factors
9,176

Primality

Prime factorization: 2 4 × 7 × 9161

Nearest primes: 1,026,031 (−1) · 1,026,037 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 9161 · 18322 · 36644 · 64127 · 73288 · 128254 · 146576 · 256508 · 513016 (half) · 1026032
Aliquot sum (sum of proper divisors): 1,246,144
Factor pairs (a × b = 1,026,032)
1 × 1026032
2 × 513016
4 × 256508
7 × 146576
8 × 128254
14 × 73288
16 × 64127
28 × 36644
56 × 18322
112 × 9161
First multiples
1,026,032 · 2,052,064 (double) · 3,078,096 · 4,104,128 · 5,130,160 · 6,156,192 · 7,182,224 · 8,208,256 · 9,234,288 · 10,260,320

Sums & aliquot sequence

As consecutive integers: 146,573 + 146,574 + … + 146,579 32,048 + 32,049 + … + 32,079 4,469 + 4,470 + … + 4,692
Aliquot sequence: 1,026,032 1,246,144 1,226,800 1,721,548 1,361,532 1,856,004 2,474,700 4,847,748 6,463,692 10,494,228 14,090,892 20,722,404 28,175,676 37,653,444 59,966,876 46,541,932 34,974,468 — unresolved within range

Continued fraction of √n

√1,026,032 = [1012; (1, 13, 1, 3, 1, 2, 2, 17, 1, 1, 64, 1, 5, 8, 1, 1, 8, 1, 1, 3, 1, 62, 1, 1, …)]

Representations

In words
one million twenty-six thousand thirty-two
Ordinal
1026032nd
Binary
11111010011111110000
Octal
3723760
Hexadecimal
0xFA7F0
Base64
D6fw
One's complement
4,293,941,263 (32-bit)
Scientific notation
1.026032 × 10⁶
As a duration
1,026,032 s = 11 days, 21 hours, 32 seconds
In other bases
ternary (3) 1221010110012
quaternary (4) 3322133300
quinary (5) 230313112
senary (6) 33554052
septenary (7) 11502230
nonary (9) 1833405
undecimal (11) 640967
duodecimal (12) 415928
tridecimal (13) 29c027
tetradecimal (14) 1c9cc0
pentadecimal (15) 154022

As an angle

1,026,032° = 2,850 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬六千零三十二
Chinese (financial)
壹佰零貳萬陸仟零參拾貳
In other modern scripts
Eastern Arabic ١٠٢٦٠٣٢ Devanagari १०२६०३२ Bengali ১০২৬০৩২ Tamil ௧௦௨௬௦௩௨ Thai ๑๐๒๖๐๓๒ Tibetan ༡༠༢༦༠༣༢ Khmer ១០២៦០៣២ Lao ໑໐໒໖໐໓໒ Burmese ၁၀၂၆၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1026032, here are decompositions:

  • 3 + 1026029 = 1026032
  • 103 + 1025929 = 1026032
  • 193 + 1025839 = 1026032
  • 229 + 1025803 = 1026032
  • 283 + 1025749 = 1026032
  • 373 + 1025659 = 1026032
  • 379 + 1025653 = 1026032
  • 409 + 1025623 = 1026032

Showing the first eight; more decompositions exist.

Hex color
#0FA7F0
RGB(15, 167, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.167.240.

Address
0.15.167.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.167.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 6032 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6032-02-01 (DMMYYYY (Euro, single-digit day))
  • 6032-10-02 (MMDYYYY (US, single-digit day))
  • 6032-02-10 (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 1,026,032 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°.