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1,064,664

1,064,664 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.).

1,064,664 (one million sixty-four thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 31 × 53. Its proper divisors sum to 2,071,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103ED8.

Abundant Number Arithmetic Number Evil 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
21 bits
Reversed
4,664,601
Square (n²)
1,133,509,432,896
Cube (n³)
1,206,806,686,864,786,944
Divisor count
80
σ(n) — sum of divisors
3,136,320
φ(n) — Euler's totient
336,960
Sum of prime factors
102

Primality

Prime factorization: 2 3 × 3 4 × 31 × 53

Nearest primes: 1,064,653 (−11) · 1,064,669 (+5)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 31 · 36 · 53 · 54 · 62 · 72 · 81 · 93 · 106 · 108 · 124 · 159 · 162 · 186 · 212 · 216 · 248 · 279 · 318 · 324 · 372 · 424 · 477 · 558 · 636 · 648 · 744 · 837 · 954 · 1116 · 1272 · 1431 · 1643 · 1674 · 1908 · 2232 · 2511 · 2862 · 3286 · 3348 · 3816 · 4293 · 4929 · 5022 · 5724 · 6572 · 6696 · 8586 · 9858 · 10044 · 11448 · 13144 · 14787 · 17172 · 19716 · 20088 · 29574 · 34344 · 39432 · 44361 · 59148 · 88722 · 118296 · 133083 · 177444 · 266166 · 354888 · 532332 (half) · 1064664
Aliquot sum (sum of proper divisors): 2,071,656
Factor pairs (a × b = 1,064,664)
1 × 1064664
2 × 532332
3 × 354888
4 × 266166
6 × 177444
8 × 133083
9 × 118296
12 × 88722
18 × 59148
24 × 44361
27 × 39432
31 × 34344
36 × 29574
53 × 20088
54 × 19716
62 × 17172
72 × 14787
81 × 13144
93 × 11448
106 × 10044
108 × 9858
124 × 8586
159 × 6696
162 × 6572
186 × 5724
212 × 5022
216 × 4929
248 × 4293
279 × 3816
318 × 3348
324 × 3286
372 × 2862
424 × 2511
477 × 2232
558 × 1908
636 × 1674
648 × 1643
744 × 1431
837 × 1272
954 × 1116
First multiples
1,064,664 · 2,129,328 (double) · 3,193,992 · 4,258,656 · 5,323,320 · 6,387,984 · 7,452,648 · 8,517,312 · 9,581,976 · 10,646,640

Sums & aliquot sequence

As consecutive integers: 354,887 + 354,888 + 354,889 118,292 + 118,293 + … + 118,300 66,534 + 66,535 + … + 66,549 39,419 + 39,420 + … + 39,445
Aliquot sequence: 1,064,664 → 2,071,656 → 4,026,744 → 6,879,216 → 11,923,896 → 17,970,504 → 29,321,496 → 50,355,504 → 91,252,248 → 137,362,152 → 206,043,288 → 357,181,032 → 608,503,128 → 912,754,752 → 2,297,886,528 → 4,663,908,032 → 5,923,685,728 — unresolved within range

Continued fraction of √n

√1,064,664 = [1031; (1, 4, 1, 2, 1, 2, 1, 8, 2, 3, 1, 1, 1, 1, 2, 2, 1, 3, 1, 1, 2, 2, 2, 3, …)]

Representations

In words
one million sixty-four thousand six hundred sixty-four
Ordinal
1064664th
Binary
100000011111011011000
Octal
4037330
Hexadecimal
0x103ED8
Base64
ED7Y
One's complement
4,293,902,631 (32-bit)
Scientific notation
1.064664 × 10⁶
As a duration
1,064,664 s = 12 days, 7 hours, 44 minutes, 24 seconds
In other bases
ternary (3) 2000002110000
quaternary (4) 10003323120
quinary (5) 233032124
senary (6) 34453000
septenary (7) 12022656
nonary (9) 2002400
undecimal (11) 667997
duodecimal (12) 434160
tridecimal (13) 2b37a3
tetradecimal (14) 1d9dd6
pentadecimal (15) 1606c9

As an angle

1,064,664° = 2,957 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零六萬四千六百六十四
Chinese (financial)
壹佰零陸萬肆仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٦٤٦٦٤ Devanagari १०६४६६४ Bengali ১০৬৪৬৬৪ Tamil ௧௦௬௪௬௬௪ Thai ๑๐๖๔๖๖๔ Tibetan ༡༠༦༤༦༦༤ Khmer ១០៦៤៦៦៤ Lao ໑໐໖໔໖໖໔ Burmese ၁၀၆၄၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064664, here are decompositions:

  • 11 + 1064653 = 1064664
  • 71 + 1064593 = 1064664
  • 131 + 1064533 = 1064664
  • 157 + 1064507 = 1064664
  • 191 + 1064473 = 1064664
  • 193 + 1064471 = 1064664
  • 197 + 1064467 = 1064664
  • 233 + 1064431 = 1064664

Showing the first eight; more decompositions exist.

Hex color
#103ED8
RGB(16, 62, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.62.216.

Address
0.16.62.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.62.216

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 6, 4664 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4664-06-01 (DMMYYYY (Euro, single-digit day))
  • 4664-10-06 (MMDYYYY (US, single-digit day))
  • 4664-06-10 (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 1,064,664 and was likely granted around 1913.

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°.