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1,040,688

1,040,688 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.).

1,040,688 (one million forty thousand six hundred eighty-eight) is an even 7-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 11 × 73. Its proper divisors sum to 2,290,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE130.

Abundant Number Evil Number Gapful 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
8,860,401
Square (n²)
1,083,031,513,344
Cube (n³)
1,127,097,899,558,940,672
Divisor count
100
σ(n) — sum of divisors
3,330,888
φ(n) — Euler's totient
311,040
Sum of prime factors
104

Primality

Prime factorization: 2 4 × 3 4 × 11 × 73

Nearest primes: 1,040,671 (−17) · 1,040,717 (+29)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 48 · 54 · 66 · 72 · 73 · 81 · 88 · 99 · 108 · 132 · 144 · 146 · 162 · 176 · 198 · 216 · 219 · 264 · 292 · 297 · 324 · 396 · 432 · 438 · 528 · 584 · 594 · 648 · 657 · 792 · 803 · 876 · 891 · 1168 · 1188 · 1296 · 1314 · 1584 · 1606 · 1752 · 1782 · 1971 · 2376 · 2409 · 2628 · 3212 · 3504 · 3564 · 3942 · 4752 · 4818 · 5256 · 5913 · 6424 · 7128 · 7227 · 7884 · 9636 · 10512 · 11826 · 12848 · 14256 · 14454 · 15768 · 19272 · 21681 · 23652 · 28908 · 31536 · 38544 · 43362 · 47304 · 57816 · 65043 · 86724 · 94608 · 115632 · 130086 · 173448 · 260172 · 346896 · 520344 (half) · 1040688
Aliquot sum (sum of proper divisors): 2,290,200
Factor pairs (a × b = 1,040,688)
1 × 1040688
2 × 520344
3 × 346896
4 × 260172
6 × 173448
8 × 130086
9 × 115632
11 × 94608
12 × 86724
16 × 65043
18 × 57816
22 × 47304
24 × 43362
27 × 38544
33 × 31536
36 × 28908
44 × 23652
48 × 21681
54 × 19272
66 × 15768
72 × 14454
73 × 14256
81 × 12848
88 × 11826
99 × 10512
108 × 9636
132 × 7884
144 × 7227
146 × 7128
162 × 6424
176 × 5913
198 × 5256
216 × 4818
219 × 4752
264 × 3942
292 × 3564
297 × 3504
324 × 3212
396 × 2628
432 × 2409
438 × 2376
528 × 1971
584 × 1782
594 × 1752
648 × 1606
657 × 1584
792 × 1314
803 × 1296
876 × 1188
891 × 1168
First multiples
1,040,688 · 2,081,376 (double) · 3,122,064 · 4,162,752 · 5,203,440 · 6,244,128 · 7,284,816 · 8,325,504 · 9,366,192 · 10,406,880

Sums & aliquot sequence

As consecutive integers: 346,895 + 346,896 + 346,897 115,628 + 115,629 + … + 115,636 94,603 + 94,604 + … + 94,613 38,531 + 38,532 + … + 38,557
Aliquot sequence: 1,040,688 2,290,200 5,477,160 12,223,320 25,451,400 60,324,360 120,649,080 241,298,520 514,079,400 1,079,568,600 2,763,935,400 5,804,266,200 12,971,317,800 — keeps growing

Continued fraction of √n

√1,040,688 = [1020; (7, 11, 1, 13, 3, 1, 63, 226, 1, 2, 6, 1, 3, 127, 3, 1, 6, 2, 1, 226, 63, 1, 3, 13, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million forty thousand six hundred eighty-eight
Ordinal
1040688th
Binary
11111110000100110000
Octal
3760460
Hexadecimal
0xFE130
Base64
D+Ew
One's complement
4,293,926,607 (32-bit)
Scientific notation
1.040688 × 10⁶
As a duration
1,040,688 s = 12 days, 1 hour, 4 minutes, 48 seconds
In other bases
ternary (3) 1221212120000
quaternary (4) 3332010300
quinary (5) 231300223
senary (6) 34150000
septenary (7) 11563035
nonary (9) 1855500
undecimal (11) 650980
duodecimal (12) 422300
tridecimal (13) 2a58bc
tetradecimal (14) 1d138c
pentadecimal (15) 158543

As an angle

1,040,688° = 2,890 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬零六百八十八
Chinese (financial)
壹佰零肆萬零陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٤٠٦٨٨ Devanagari १०४०६८८ Bengali ১০৪০৬৮৮ Tamil ௧௦௪௦௬௮௮ Thai ๑๐๔๐๖๘๘ Tibetan ༡༠༤༠༦༨༨ Khmer ១០៤០៦៨៨ Lao ໑໐໔໐໖໘໘ Burmese ၁၀၄၀၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040688, here are decompositions:

  • 17 + 1040671 = 1040688
  • 29 + 1040659 = 1040688
  • 31 + 1040657 = 1040688
  • 37 + 1040651 = 1040688
  • 59 + 1040629 = 1040688
  • 107 + 1040581 = 1040688
  • 109 + 1040579 = 1040688
  • 157 + 1040531 = 1040688

Showing the first eight; more decompositions exist.

Hex color
#0FE130
RGB(15, 225, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.225.48.

Address
0.15.225.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.225.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 0688 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0688-04-01 (DMMYYYY (Euro, single-digit day))
  • 0688-10-04 (MMDYYYY (US, single-digit day))
  • 0688-04-10 (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 1,040,688 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°.