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1,041,768

1,041,768 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.).

1,041,768 (one million forty-one thousand seven hundred sixty-eight) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 7 × 13 × 53. Its proper divisors sum to 2,587,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE568.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,671,401
Square (n²)
1,085,280,565,824
Cube (n³)
1,130,610,564,497,336,832
Divisor count
128
σ(n) — sum of divisors
3,628,800
φ(n) — Euler's totient
269,568
Sum of prime factors
88

Primality

Prime factorization: 2 3 × 3 3 × 7 × 13 × 53

Nearest primes: 1,041,757 (−11) · 1,041,779 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 18 · 21 · 24 · 26 · 27 · 28 · 36 · 39 · 42 · 52 · 53 · 54 · 56 · 63 · 72 · 78 · 84 · 91 · 104 · 106 · 108 · 117 · 126 · 156 · 159 · 168 · 182 · 189 · 212 · 216 · 234 · 252 · 273 · 312 · 318 · 351 · 364 · 371 · 378 · 424 · 468 · 477 · 504 · 546 · 636 · 689 · 702 · 728 · 742 · 756 · 819 · 936 · 954 · 1092 · 1113 · 1272 · 1378 · 1404 · 1431 · 1484 · 1512 · 1638 · 1908 · 2067 · 2184 · 2226 · 2457 · 2756 · 2808 · 2862 · 2968 · 3276 · 3339 · 3816 · 4134 · 4452 · 4823 · 4914 · 5512 · 5724 · 6201 · 6552 · 6678 · 8268 · 8904 · 9646 · 9828 · 10017 · 11448 · 12402 · 13356 · 14469 · 16536 · 18603 · 19292 · 19656 · 20034 · 24804 · 26712 · 28938 · 37206 · 38584 · 40068 · 43407 · 49608 · 57876 · 74412 · 80136 · 86814 · 115752 · 130221 · 148824 · 173628 · 260442 · 347256 · 520884 (half) · 1041768
Aliquot sum (sum of proper divisors): 2,587,032
Factor pairs (a × b = 1,041,768)
1 × 1041768
2 × 520884
3 × 347256
4 × 260442
6 × 173628
7 × 148824
8 × 130221
9 × 115752
12 × 86814
13 × 80136
14 × 74412
18 × 57876
21 × 49608
24 × 43407
26 × 40068
27 × 38584
28 × 37206
36 × 28938
39 × 26712
42 × 24804
52 × 20034
53 × 19656
54 × 19292
56 × 18603
63 × 16536
72 × 14469
78 × 13356
84 × 12402
91 × 11448
104 × 10017
106 × 9828
108 × 9646
117 × 8904
126 × 8268
156 × 6678
159 × 6552
168 × 6201
182 × 5724
189 × 5512
212 × 4914
216 × 4823
234 × 4452
252 × 4134
273 × 3816
312 × 3339
318 × 3276
351 × 2968
364 × 2862
371 × 2808
378 × 2756
424 × 2457
468 × 2226
477 × 2184
504 × 2067
546 × 1908
636 × 1638
689 × 1512
702 × 1484
728 × 1431
742 × 1404
756 × 1378
819 × 1272
936 × 1113
954 × 1092
First multiples
1,041,768 · 2,083,536 (double) · 3,125,304 · 4,167,072 · 5,208,840 · 6,250,608 · 7,292,376 · 8,334,144 · 9,375,912 · 10,417,680

Sums & aliquot sequence

As consecutive integers: 347,255 + 347,256 + 347,257 148,821 + 148,822 + … + 148,827 115,748 + 115,749 + … + 115,756 80,130 + 80,131 + … + 80,142
Aliquot sequence: 1,041,768 2,587,032 6,052,968 10,902,762 16,418,070 26,269,146 31,860,198 41,967,738 51,896,838 68,233,722 69,962,118 73,797,498 86,097,120 185,110,320 388,732,416 646,879,128 1,203,325,032 — unresolved within range

Continued fraction of √n

√1,041,768 = [1020; (1, 2, 29, 1, 2, 5, 3, 6, 1, 2, 1, 226, 13, 2, 2, 1, 5, 1, 5, 1, 2, 2, 13, 226, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million forty-one thousand seven hundred sixty-eight
Ordinal
1041768th
Binary
11111110010101101000
Octal
3762550
Hexadecimal
0xFE568
Base64
D+Vo
One's complement
4,293,925,527 (32-bit)
Scientific notation
1.041768 × 10⁶
As a duration
1,041,768 s = 12 days, 1 hour, 22 minutes, 48 seconds
In other bases
ternary (3) 1221221001000
quaternary (4) 3332111220
quinary (5) 231314033
senary (6) 34155000
septenary (7) 11566140
nonary (9) 1857030
undecimal (11) 651772
duodecimal (12) 422a60
tridecimal (13) 2a6240
tetradecimal (14) 1d1920
pentadecimal (15) 158a13

As an angle

1,041,768° = 2,893 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千七百六十八
Chinese (financial)
壹佰零肆萬壹仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٤١٧٦٨ Devanagari १०४१७६८ Bengali ১০৪১৭৬৮ Tamil ௧௦௪௧௭௬௮ Thai ๑๐๔๑๗๖๘ Tibetan ༡༠༤༡༧༦༨ Khmer ១០៤១៧៦៨ Lao ໑໐໔໑໗໖໘ Burmese ၁၀၄၁၇၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041768, here are decompositions:

  • 11 + 1041757 = 1041768
  • 31 + 1041737 = 1041768
  • 37 + 1041731 = 1041768
  • 67 + 1041701 = 1041768
  • 97 + 1041671 = 1041768
  • 149 + 1041619 = 1041768
  • 151 + 1041617 = 1041768
  • 191 + 1041577 = 1041768

Showing the first eight; more decompositions exist.

Hex color
#0FE568
RGB(15, 229, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.229.104.

Address
0.15.229.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.229.104

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 1768 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1768-04-01 (DMMYYYY (Euro, single-digit day))
  • 1768-10-04 (MMDYYYY (US, single-digit day))
  • 1768-04-10 (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 1,041,768 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°.