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1,046,640

1,046,640 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.).

1,046,640 (one million forty-six thousand six hundred forty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5 × 7² × 89. Its proper divisors sum to 2,770,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFF870.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
466,401
Square (n²)
1,095,455,289,600
Cube (n³)
1,146,547,324,306,944,000
Divisor count
120
σ(n) — sum of divisors
3,816,720
φ(n) — Euler's totient
236,544
Sum of prime factors
119

Primality

Prime factorization: 2 4 × 3 × 5 × 7 2 × 89

Nearest primes: 1,046,627 (−13) · 1,046,641 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 49 · 56 · 60 · 70 · 80 · 84 · 89 · 98 · 105 · 112 · 120 · 140 · 147 · 168 · 178 · 196 · 210 · 240 · 245 · 267 · 280 · 294 · 336 · 356 · 392 · 420 · 445 · 490 · 534 · 560 · 588 · 623 · 712 · 735 · 784 · 840 · 890 · 980 · 1068 · 1176 · 1246 · 1335 · 1424 · 1470 · 1680 · 1780 · 1869 · 1960 · 2136 · 2352 · 2492 · 2670 · 2940 · 3115 · 3560 · 3738 · 3920 · 4272 · 4361 · 4984 · 5340 · 5880 · 6230 · 7120 · 7476 · 8722 · 9345 · 9968 · 10680 · 11760 · 12460 · 13083 · 14952 · 17444 · 18690 · 21360 · 21805 · 24920 · 26166 · 29904 · 34888 · 37380 · 43610 · 49840 · 52332 · 65415 · 69776 · 74760 · 87220 · 104664 · 130830 · 149520 · 174440 · 209328 · 261660 · 348880 · 523320 (half) · 1046640
Aliquot sum (sum of proper divisors): 2,770,080
Factor pairs (a × b = 1,046,640)
1 × 1046640
2 × 523320
3 × 348880
4 × 261660
5 × 209328
6 × 174440
7 × 149520
8 × 130830
10 × 104664
12 × 87220
14 × 74760
15 × 69776
16 × 65415
20 × 52332
21 × 49840
24 × 43610
28 × 37380
30 × 34888
35 × 29904
40 × 26166
42 × 24920
48 × 21805
49 × 21360
56 × 18690
60 × 17444
70 × 14952
80 × 13083
84 × 12460
89 × 11760
98 × 10680
105 × 9968
112 × 9345
120 × 8722
140 × 7476
147 × 7120
168 × 6230
178 × 5880
196 × 5340
210 × 4984
240 × 4361
245 × 4272
267 × 3920
280 × 3738
294 × 3560
336 × 3115
356 × 2940
392 × 2670
420 × 2492
445 × 2352
490 × 2136
534 × 1960
560 × 1869
588 × 1780
623 × 1680
712 × 1470
735 × 1424
784 × 1335
840 × 1246
890 × 1176
980 × 1068
First multiples
1,046,640 · 2,093,280 (double) · 3,139,920 · 4,186,560 · 5,233,200 · 6,279,840 · 7,326,480 · 8,373,120 · 9,419,760 · 10,466,400

Sums & aliquot sequence

As consecutive integers: 348,879 + 348,880 + 348,881 209,326 + 209,327 + 209,328 + 209,329 + 209,330 149,517 + 149,518 + … + 149,523 69,769 + 69,770 + … + 69,783
Aliquot sequence: 1,046,640 2,770,080 6,301,920 14,624,160 31,443,456 59,988,192 111,799,200 262,239,360 585,552,000 1,533,926,400 3,536,034,072 5,483,387,208 9,558,170,232 17,005,505,928 — keeps growing

Continued fraction of √n

√1,046,640 = [1023; (18, 2, 3, 4, 2, 2, 6, 5, 1, 6, 4, 7, 1, 40, 1, 7, 4, 6, 1, 5, 6, 2, 2, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million forty-six thousand six hundred forty
Ordinal
1046640th
Binary
11111111100001110000
Octal
3774160
Hexadecimal
0xFF870
Base64
D/hw
One's complement
4,293,920,655 (32-bit)
Scientific notation
1.04664 × 10⁶
As a duration
1,046,640 s = 12 days, 2 hours, 44 minutes
In other bases
ternary (3) 1222011201110
quaternary (4) 3333201300
quinary (5) 231443030
senary (6) 34233320
septenary (7) 11616300
nonary (9) 1864643
undecimal (11) 6553a1
duodecimal (12) 425840
tridecimal (13) 2a851a
tetradecimal (14) 1d3600
pentadecimal (15) 15a1b0

As an angle

1,046,640° = 2,907 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零四萬六千六百四十
Chinese (financial)
壹佰零肆萬陸仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٤٦٦٤٠ Devanagari १०४६६४० Bengali ১০৪৬৬৪০ Tamil ௧௦௪௬௬௪௦ Thai ๑๐๔๖๖๔๐ Tibetan ༡༠༤༦༦༤༠ Khmer ១០៤៦៦៤០ Lao ໑໐໔໖໖໔໐ Burmese ၁၀၄၆၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046640, here are decompositions:

  • 13 + 1046627 = 1046640
  • 41 + 1046599 = 1046640
  • 43 + 1046597 = 1046640
  • 53 + 1046587 = 1046640
  • 61 + 1046579 = 1046640
  • 83 + 1046557 = 1046640
  • 113 + 1046527 = 1046640
  • 181 + 1046459 = 1046640

Showing the first eight; more decompositions exist.

Hex color
#0FF870
RGB(15, 248, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.248.112.

Address
0.15.248.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.248.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 6640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6640-04-01 (DMMYYYY (Euro, single-digit day))
  • 6640-10-04 (MMDYYYY (US, single-digit day))
  • 6640-04-10 (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 1,046,640 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°.