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1,036,640

1,036,640 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.).

1,036,640 (one million thirty-six thousand six hundred forty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5 × 11 × 19 × 31. Its proper divisors sum to 1,866,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFD160.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
466,301
Recamán's sequence
a(386,539) = 1,036,640
Square (n²)
1,074,622,489,600
Cube (n³)
1,113,996,657,618,944,000
Divisor count
96
σ(n) — sum of divisors
2,903,040
φ(n) — Euler's totient
345,600
Sum of prime factors
76

Primality

Prime factorization: 2 5 × 5 × 11 × 19 × 31

Nearest primes: 1,036,631 (−9) · 1,036,649 (+9)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 19 · 20 · 22 · 31 · 32 · 38 · 40 · 44 · 55 · 62 · 76 · 80 · 88 · 95 · 110 · 124 · 152 · 155 · 160 · 176 · 190 · 209 · 220 · 248 · 304 · 310 · 341 · 352 · 380 · 418 · 440 · 496 · 589 · 608 · 620 · 682 · 760 · 836 · 880 · 992 · 1045 · 1178 · 1240 · 1364 · 1520 · 1672 · 1705 · 1760 · 2090 · 2356 · 2480 · 2728 · 2945 · 3040 · 3344 · 3410 · 4180 · 4712 · 4960 · 5456 · 5890 · 6479 · 6688 · 6820 · 8360 · 9424 · 10912 · 11780 · 12958 · 13640 · 16720 · 18848 · 23560 · 25916 · 27280 · 32395 · 33440 · 47120 · 51832 · 54560 · 64790 · 94240 · 103664 · 129580 · 207328 · 259160 · 518320 (half) · 1036640
Aliquot sum (sum of proper divisors): 1,866,400
Factor pairs (a × b = 1,036,640)
1 × 1036640
2 × 518320
4 × 259160
5 × 207328
8 × 129580
10 × 103664
11 × 94240
16 × 64790
19 × 54560
20 × 51832
22 × 47120
31 × 33440
32 × 32395
38 × 27280
40 × 25916
44 × 23560
55 × 18848
62 × 16720
76 × 13640
80 × 12958
88 × 11780
95 × 10912
110 × 9424
124 × 8360
152 × 6820
155 × 6688
160 × 6479
176 × 5890
190 × 5456
209 × 4960
220 × 4712
248 × 4180
304 × 3410
310 × 3344
341 × 3040
352 × 2945
380 × 2728
418 × 2480
440 × 2356
496 × 2090
589 × 1760
608 × 1705
620 × 1672
682 × 1520
760 × 1364
836 × 1240
880 × 1178
992 × 1045
First multiples
1,036,640 · 2,073,280 (double) · 3,109,920 · 4,146,560 · 5,183,200 · 6,219,840 · 7,256,480 · 8,293,120 · 9,329,760 · 10,366,400

Sums & aliquot sequence

As consecutive integers: 207,326 + 207,327 + 207,328 + 207,329 + 207,330 94,235 + 94,236 + … + 94,245 54,551 + 54,552 + … + 54,569 33,425 + 33,426 + … + 33,455
Aliquot sequence: 1,036,640 1,866,400 2,691,902 1,345,954 672,980 1,262,380 1,834,196 2,117,164 2,172,884 2,238,124 2,565,836 3,467,044 4,003,223 588,169 1 0 — terminates at zero

Continued fraction of √n

√1,036,640 = [1018; (6, 2, 3, 1, 12, 1, 2, 2, 3, 1, 25, 509, 25, 1, 3, 2, 2, 1, 12, 1, 3, 2, 6, 2036)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million thirty-six thousand six hundred forty
Ordinal
1036640th
Binary
11111101000101100000
Octal
3750540
Hexadecimal
0xFD160
Base64
D9Fg
One's complement
4,293,930,655 (32-bit)
Scientific notation
1.03664 × 10⁶
As a duration
1,036,640 s = 11 days, 23 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 1221200000002
quaternary (4) 3331011200
quinary (5) 231133030
senary (6) 34115132
septenary (7) 11545163
nonary (9) 1850002
undecimal (11) 648930
duodecimal (12) 41baa8
tridecimal (13) 2a3ac7
tetradecimal (14) 1cdada
pentadecimal (15) 157245

As an angle

1,036,640° = 2,879 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零三萬六千六百四十
Chinese (financial)
壹佰零參萬陸仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٣٦٦٤٠ Devanagari १०३६६४० Bengali ১০৩৬৬৪০ Tamil ௧௦௩௬௬௪௦ Thai ๑๐๓๖๖๔๐ Tibetan ༡༠༣༦༦༤༠ Khmer ១០៣៦៦៤០ Lao ໑໐໓໖໖໔໐ Burmese ၁၀၃၆၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1036640, here are decompositions:

  • 61 + 1036579 = 1036640
  • 79 + 1036561 = 1036640
  • 103 + 1036537 = 1036640
  • 109 + 1036531 = 1036640
  • 127 + 1036513 = 1036640
  • 181 + 1036459 = 1036640
  • 229 + 1036411 = 1036640
  • 271 + 1036369 = 1036640

Showing the first eight; more decompositions exist.

Hex color
#0FD160
RGB(15, 209, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.209.96.

Address
0.15.209.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.209.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 3, 6640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6640-03-01 (DMMYYYY (Euro, single-digit day))
  • 6640-10-03 (MMDYYYY (US, single-digit day))
  • 6640-03-10 (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 1,036,640 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°.