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1,062,144

1,062,144 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.).

1,062,144 (one million sixty-two thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 54 divisors, and factors as 2⁸ × 3² × 461. Its proper divisors sum to 2,006,922, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103500.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
4,412,601
Square (n²)
1,128,149,876,736
Cube (n³)
1,198,257,622,675,881,984
Divisor count
54
σ(n) — sum of divisors
3,069,066
φ(n) — Euler's totient
353,280
Sum of prime factors
483

Primality

Prime factorization: 2 8 × 3 2 × 461

Nearest primes: 1,062,121 (−23) · 1,062,169 (+25)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 128 · 144 · 192 · 256 · 288 · 384 · 461 · 576 · 768 · 922 · 1152 · 1383 · 1844 · 2304 · 2766 · 3688 · 4149 · 5532 · 7376 · 8298 · 11064 · 14752 · 16596 · 22128 · 29504 · 33192 · 44256 · 59008 · 66384 · 88512 · 118016 · 132768 · 177024 · 265536 · 354048 · 531072 (half) · 1062144
Aliquot sum (sum of proper divisors): 2,006,922
Factor pairs (a × b = 1,062,144)
1 × 1062144
2 × 531072
3 × 354048
4 × 265536
6 × 177024
8 × 132768
9 × 118016
12 × 88512
16 × 66384
18 × 59008
24 × 44256
32 × 33192
36 × 29504
48 × 22128
64 × 16596
72 × 14752
96 × 11064
128 × 8298
144 × 7376
192 × 5532
256 × 4149
288 × 3688
384 × 2766
461 × 2304
576 × 1844
768 × 1383
922 × 1152
First multiples
1,062,144 · 2,124,288 (double) · 3,186,432 · 4,248,576 · 5,310,720 · 6,372,864 · 7,435,008 · 8,497,152 · 9,559,296 · 10,621,440

Sums & aliquot sequence

As a sum of two squares: 480² + 912²
As consecutive integers: 354,047 + 354,048 + 354,049 118,012 + 118,013 + … + 118,020 2,074 + 2,075 + … + 2,534 1,819 + 1,820 + … + 2,330
Aliquot sequence: 1,062,144 → 2,006,922 → 2,006,934 → 2,181,738 → 2,588,118 → 2,986,458 → 4,063,782 → 4,542,090 → 8,231,286 → 11,403,402 → 11,790,678 → 13,466,922 → 17,443,542 → 17,443,554 → 17,570,238 → 22,590,402 → 23,443,518 — unresolved within range

Continued fraction of √n

√1,062,144 = [1030; (1, 1, 1, 1, 10, 5, 4, 1, 1, 2, 2, 2, 9, 1, 1, 5, 5, 2, 2, 1, 1, 1, 2, 2, …)]

Representations

In words
one million sixty-two thousand one hundred forty-four
Ordinal
1062144th
Binary
100000011010100000000
Octal
4032400
Hexadecimal
0x103500
Base64
EDUA
One's complement
4,293,905,151 (32-bit)
Scientific notation
1.062144 × 10⁶
As a duration
1,062,144 s = 12 days, 7 hours, 2 minutes, 24 seconds
In other bases
ternary (3) 1222221222200
quaternary (4) 10003110000
quinary (5) 232442034
senary (6) 34433200
septenary (7) 12012426
nonary (9) 1887880
undecimal (11) 666006
duodecimal (12) 432800
tridecimal (13) 2b25b5
tetradecimal (14) 1d9116
pentadecimal (15) 15ea99

As an angle

1,062,144° = 2,950 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零六萬二千一百四十四
Chinese (financial)
壹佰零陸萬貳仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٦٢١٤٤ Devanagari १०६२१४४ Bengali ১০৬২১৪৪ Tamil ௧௦௬௨௧௪௪ Thai ๑๐๖๒๑๔๔ Tibetan ༡༠༦༢༡༤༤ Khmer ១០៦២១៤៤ Lao ໑໐໖໒໑໔໔ Burmese ၁၀၆၂၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1062144, here are decompositions:

  • 23 + 1062121 = 1062144
  • 37 + 1062107 = 1062144
  • 71 + 1062073 = 1062144
  • 113 + 1062031 = 1062144
  • 131 + 1062013 = 1062144
  • 151 + 1061993 = 1062144
  • 227 + 1061917 = 1062144
  • 233 + 1061911 = 1062144

Showing the first eight; more decompositions exist.

Hex color
#103500
RGB(16, 53, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.53.0.

Address
0.16.53.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.53.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 2144 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2144-06-01 (DMMYYYY (Euro, single-digit day))
  • 2144-10-06 (MMDYYYY (US, single-digit day))
  • 2144-06-10 (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 1,062,144 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°.