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1,064,160

1,064,160 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.).

1,064,160 (one million sixty-four thousand one hundred sixty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 739. Its proper divisors sum to 2,572,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103CE0.

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
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
614,601
Square (n²)
1,132,436,505,600
Cube (n³)
1,205,093,631,799,296,000
Divisor count
72
σ(n) — sum of divisors
3,636,360
φ(n) — Euler's totient
283,392
Sum of prime factors
760

Primality

Prime factorization: 2 5 × 3 2 × 5 × 739

Nearest primes: 1,064,159 (−1) · 1,064,177 (+17)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 240 · 288 · 360 · 480 · 720 · 739 · 1440 · 1478 · 2217 · 2956 · 3695 · 4434 · 5912 · 6651 · 7390 · 8868 · 11085 · 11824 · 13302 · 14780 · 17736 · 22170 · 23648 · 26604 · 29560 · 33255 · 35472 · 44340 · 53208 · 59120 · 66510 · 70944 · 88680 · 106416 · 118240 · 133020 · 177360 · 212832 · 266040 · 354720 · 532080 (half) · 1064160
Aliquot sum (sum of proper divisors): 2,572,200
Factor pairs (a × b = 1,064,160)
1 × 1064160
2 × 532080
3 × 354720
4 × 266040
5 × 212832
6 × 177360
8 × 133020
9 × 118240
10 × 106416
12 × 88680
15 × 70944
16 × 66510
18 × 59120
20 × 53208
24 × 44340
30 × 35472
32 × 33255
36 × 29560
40 × 26604
45 × 23648
48 × 22170
60 × 17736
72 × 14780
80 × 13302
90 × 11824
96 × 11085
120 × 8868
144 × 7390
160 × 6651
180 × 5912
240 × 4434
288 × 3695
360 × 2956
480 × 2217
720 × 1478
739 × 1440
First multiples
1,064,160 · 2,128,320 (double) · 3,192,480 · 4,256,640 · 5,320,800 · 6,384,960 · 7,449,120 · 8,513,280 · 9,577,440 · 10,641,600

Sums & aliquot sequence

As consecutive integers: 354,719 + 354,720 + 354,721 212,830 + 212,831 + 212,832 + 212,833 + 212,834 118,236 + 118,237 + … + 118,244 70,937 + 70,938 + … + 70,951
Aliquot sequence: 1,064,160 → 2,572,200 → 6,072,150 → 11,141,034 → 11,284,854 → 14,708,106 → 21,712,278 → 27,915,882 → 30,343,638 → 37,958,442 → 38,074,038 → 38,074,050 → 91,560,510 → 154,843,650 → 338,577,894 → 462,751,866 → 635,156,154 — unresolved within range

Continued fraction of √n

√1,064,160 = [1031; (1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 4, 1, 16, 4, 2, 1, 1, 2, 2, 14, 1, 6, 3, …)]

Representations

In words
one million sixty-four thousand one hundred sixty
Ordinal
1064160th
Binary
100000011110011100000
Octal
4036340
Hexadecimal
0x103CE0
Base64
EDzg
One's complement
4,293,903,135 (32-bit)
Scientific notation
1.06416 × 10⁶
As a duration
1,064,160 s = 12 days, 7 hours, 36 minutes
In other bases
ternary (3) 2000001202100
quaternary (4) 10003303200
quinary (5) 233023120
senary (6) 34450400
septenary (7) 12021336
nonary (9) 2001670
undecimal (11) 667579
duodecimal (12) 433a00
tridecimal (13) 2b34a6
tetradecimal (14) 1d9b56
pentadecimal (15) 160490

As an angle

1,064,160° = 2,956 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零六萬四千一百六十
Chinese (financial)
壹佰零陸萬肆仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٠٦٤١٦٠ Devanagari १०६४१६० Bengali ১০৬৪১৬০ Tamil ௧௦௬௪௧௬௦ Thai ๑๐๖๔๑๖๐ Tibetan ༡༠༦༤༡༦༠ Khmer ១០៦៤១៦០ Lao ໑໐໖໔໑໖໐ Burmese ၁၀၆၄၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064160, here are decompositions:

  • 7 + 1064153 = 1064160
  • 29 + 1064131 = 1064160
  • 43 + 1064117 = 1064160
  • 73 + 1064087 = 1064160
  • 101 + 1064059 = 1064160
  • 131 + 1064029 = 1064160
  • 173 + 1063987 = 1064160
  • 191 + 1063969 = 1064160

Showing the first eight; more decompositions exist.

Hex color
#103CE0
RGB(16, 60, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.60.224.

Address
0.16.60.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.60.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 6, 4160 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4160-06-01 (DMMYYYY (Euro, single-digit day))
  • 4160-10-06 (MMDYYYY (US, single-digit day))
  • 4160-06-10 (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 1,064,160 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°.