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1,059,032

1,059,032 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.).

1,059,032 (one million fifty-nine thousand thirty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 17 × 599. Its proper divisors sum to 1,208,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1028D8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
2,309,501
Square (n²)
1,121,548,777,024
Cube (n³)
1,187,756,044,429,280,768
Divisor count
32
σ(n) — sum of divisors
2,268,000
φ(n) — Euler's totient
459,264
Sum of prime factors
635

Primality

Prime factorization: 2 3 × 13 × 17 × 599

Nearest primes: 1,059,029 (−3) · 1,059,059 (+27)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 17 · 26 · 34 · 52 · 68 · 104 · 136 · 221 · 442 · 599 · 884 · 1198 · 1768 · 2396 · 4792 · 7787 · 10183 · 15574 · 20366 · 31148 · 40732 · 62296 · 81464 · 132379 · 264758 · 529516 (half) · 1059032
Aliquot sum (sum of proper divisors): 1,208,968
Factor pairs (a × b = 1,059,032)
1 × 1059032
2 × 529516
4 × 264758
8 × 132379
13 × 81464
17 × 62296
26 × 40732
34 × 31148
52 × 20366
68 × 15574
104 × 10183
136 × 7787
221 × 4792
442 × 2396
599 × 1768
884 × 1198
First multiples
1,059,032 · 2,118,064 (double) · 3,177,096 · 4,236,128 · 5,295,160 · 6,354,192 · 7,413,224 · 8,472,256 · 9,531,288 · 10,590,320

Sums & aliquot sequence

As consecutive integers: 81,458 + 81,459 + … + 81,470 66,182 + 66,183 + … + 66,197 62,288 + 62,289 + … + 62,304 4,988 + 4,989 + … + 5,195
Aliquot sequence: 1,059,032 → 1,208,968 → 1,057,862 → 817,018 → 424,262 → 212,134 → 140,666 → 73,978 → 39,494 → 37,114 → 32,582 → 20,770 → 18,398 → 9,202 → 5,054 → 4,090 → 3,290 — unresolved within range

Continued fraction of √n

√1,059,032 = [1029; (10, 1, 3, 2, 4, 1, 1, 1, 6, 1, 1, 8, 1, 18, 1, 8, 1, 1, 6, 1, 1, 1, 4, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million fifty-nine thousand thirty-two
Ordinal
1059032nd
Binary
100000010100011011000
Octal
4024330
Hexadecimal
0x1028D8
Base64
ECjY
One's complement
4,293,908,263 (32-bit)
Scientific notation
1.059032 × 10⁶
As a duration
1,059,032 s = 12 days, 6 hours, 10 minutes, 32 seconds
In other bases
ternary (3) 1222210201102
quaternary (4) 10002203120
quinary (5) 232342112
senary (6) 34410532
septenary (7) 12000362
nonary (9) 1883642
undecimal (11) 663737
duodecimal (12) 430a48
tridecimal (13) 2b1060
tetradecimal (14) 1d7d32
pentadecimal (15) 15dbc2

As an angle

1,059,032° = 2,941 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬九千零三十二
Chinese (financial)
壹佰零伍萬玖仟零參拾貳
In other modern scripts
Eastern Arabic ١٠٥٩٠٣٢ Devanagari १०५९०३२ Bengali ১০৫৯০৩২ Tamil ௧௦௫௯௦௩௨ Thai ๑๐๕๙๐๓๒ Tibetan ༡༠༥༩༠༣༢ Khmer ១០៥៩០៣២ Lao ໑໐໕໙໐໓໒ Burmese ၁၀၅၉၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059032, here are decompositions:

  • 3 + 1059029 = 1059032
  • 31 + 1059001 = 1059032
  • 193 + 1058839 = 1059032
  • 211 + 1058821 = 1059032
  • 223 + 1058809 = 1059032
  • 229 + 1058803 = 1059032
  • 241 + 1058791 = 1059032
  • 283 + 1058749 = 1059032

Showing the first eight; more decompositions exist.

Hex color
#1028D8
RGB(16, 40, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.40.216.

Address
0.16.40.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.40.216

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 9032 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9032-05-01 (DMMYYYY (Euro, single-digit day))
  • 9032-10-05 (MMDYYYY (US, single-digit day))
  • 9032-05-10 (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 1,059,032 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°.