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1,064,640

1,064,640 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.).

1,064,640 (one million sixty-four thousand six hundred forty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 1,109. Its proper divisors sum to 2,318,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103EC0.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
464,601
Square (n²)
1,133,458,329,600
Cube (n³)
1,206,725,076,025,344,000
Divisor count
56
σ(n) — sum of divisors
3,383,280
φ(n) — Euler's totient
283,648
Sum of prime factors
1,129

Primality

Prime factorization: 2 6 × 3 × 5 × 1109

Nearest primes: 1,064,629 (−11) · 1,064,653 (+13)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 192 · 240 · 320 · 480 · 960 · 1109 · 2218 · 3327 · 4436 · 5545 · 6654 · 8872 · 11090 · 13308 · 16635 · 17744 · 22180 · 26616 · 33270 · 35488 · 44360 · 53232 · 66540 · 70976 · 88720 · 106464 · 133080 · 177440 · 212928 · 266160 · 354880 · 532320 (half) · 1064640
Aliquot sum (sum of proper divisors): 2,318,640
Factor pairs (a × b = 1,064,640)
1 × 1064640
2 × 532320
3 × 354880
4 × 266160
5 × 212928
6 × 177440
8 × 133080
10 × 106464
12 × 88720
15 × 70976
16 × 66540
20 × 53232
24 × 44360
30 × 35488
32 × 33270
40 × 26616
48 × 22180
60 × 17744
64 × 16635
80 × 13308
96 × 11090
120 × 8872
160 × 6654
192 × 5545
240 × 4436
320 × 3327
480 × 2218
960 × 1109
First multiples
1,064,640 · 2,129,280 (double) · 3,193,920 · 4,258,560 · 5,323,200 · 6,387,840 · 7,452,480 · 8,517,120 · 9,581,760 · 10,646,400

Sums & aliquot sequence

As consecutive integers: 354,879 + 354,880 + 354,881 212,926 + 212,927 + 212,928 + 212,929 + 212,930 70,969 + 70,970 + … + 70,983 8,254 + 8,255 + … + 8,381
Aliquot sequence: 1,064,640 → 2,318,640 → 4,869,888 → 8,890,320 → 20,304,240 → 48,369,936 → 76,862,128 → 93,332,832 → 154,070,688 → 251,084,832 → 452,503,200 → 1,030,526,880 → 2,223,345,504 → 3,612,936,696 → 6,280,532,904 → 11,168,811,096 — keeps growing

Continued fraction of √n

√1,064,640 = [1031; (1, 4, 2, 1, 2, 31, 1, 6, 1, 4, 2, 515, 2, 4, 1, 6, 1, 31, 2, 1, 2, 4, 1, 2062)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million sixty-four thousand six hundred forty
Ordinal
1064640th
Binary
100000011111011000000
Octal
4037300
Hexadecimal
0x103EC0
Base64
ED7A
One's complement
4,293,902,655 (32-bit)
Scientific notation
1.06464 × 10⁶
As a duration
1,064,640 s = 12 days, 7 hours, 44 minutes
In other bases
ternary (3) 2000002102010
quaternary (4) 10003323000
quinary (5) 233032030
senary (6) 34452520
septenary (7) 12022623
nonary (9) 2002363
undecimal (11) 667975
duodecimal (12) 434140
tridecimal (13) 2b3785
tetradecimal (14) 1d9dba
pentadecimal (15) 1606b0

As an angle

1,064,640° = 2,957 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零六萬四千六百四十
Chinese (financial)
壹佰零陸萬肆仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٦٤٦٤٠ Devanagari १०६४६४० Bengali ১০৬৪৬৪০ Tamil ௧௦௬௪௬௪௦ Thai ๑๐๖๔๖๔๐ Tibetan ༡༠༦༤༦༤༠ Khmer ១០៦៤៦៤០ Lao ໑໐໖໔໖໔໐ Burmese ၁၀၆၄၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064640, here are decompositions:

  • 11 + 1064629 = 1064640
  • 47 + 1064593 = 1064640
  • 53 + 1064587 = 1064640
  • 107 + 1064533 = 1064640
  • 163 + 1064477 = 1064640
  • 167 + 1064473 = 1064640
  • 173 + 1064467 = 1064640
  • 229 + 1064411 = 1064640

Showing the first eight; more decompositions exist.

Hex color
#103EC0
RGB(16, 62, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.62.192.

Address
0.16.62.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.62.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 4640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4640-06-01 (DMMYYYY (Euro, single-digit day))
  • 4640-10-06 (MMDYYYY (US, single-digit day))
  • 4640-06-10 (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 1,064,640 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°.