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1,016,064

1,016,064 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.).

1,016,064 (one million sixteen thousand sixty-four) is an even 7-digit number. It is a composite number with 135 divisors, and factors as 2⁸ × 3⁴ × 7². Its proper divisors sum to 2,508,303, more than the number itself, making it an abundant number. It is a perfect square (1,008²). Written other ways, in hexadecimal, 0xF8100.

Abundant Number Evil Number Frugal Number Gapful Number Harshad / Niven Perfect Square Powerful Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,606,101
Recamán's sequence
a(365,863) = 1,016,064
Square (n²)
1,032,386,052,096
Cube (n³)
1,048,970,301,636,870,144
Square root (√n)
1,008
Divisor count
135
σ(n) — sum of divisors
3,524,367
φ(n) — Euler's totient
290,304
Sum of prime factors
42

Primality

Prime factorization: 2 8 × 3 4 × 7 2

Nearest primes: 1,016,053 (−11) · 1,016,069 (+5)

Divisors & multiples

All divisors (135)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 48 · 49 · 54 · 56 · 63 · 64 · 72 · 81 · 84 · 96 · 98 · 108 · 112 · 126 · 128 · 144 · 147 · 162 · 168 · 189 · 192 · 196 · 216 · 224 · 252 · 256 · 288 · 294 · 324 · 336 · 378 · 384 · 392 · 432 · 441 · 448 · 504 · 567 · 576 · 588 · 648 · 672 · 756 · 768 · 784 · 864 · 882 · 896 · 1008 · 1134 · 1152 · 1176 · 1296 · 1323 · 1344 · 1512 · 1568 · 1728 · 1764 · 1792 · 2016 · 2268 · 2304 · 2352 · 2592 · 2646 · 2688 · 3024 · 3136 · 3456 · 3528 · 3969 · 4032 · 4536 · 4704 · 5184 · 5292 · 5376 · 6048 · 6272 · 6912 · 7056 · 7938 · 8064 · 9072 · 9408 · 10368 · 10584 · 12096 · 12544 · 14112 · 15876 · 16128 · 18144 · 18816 · 20736 · 21168 · 24192 · 28224 · 31752 · 36288 · 37632 · 42336 · 48384 · 56448 · 63504 · 72576 · 84672 · 112896 · 127008 · 145152 · 169344 · 254016 · 338688 · 508032 (half) · 1016064
Aliquot sum (sum of proper divisors): 2,508,303
Factor pairs (a × b = 1,016,064)
1 × 1016064
2 × 508032
3 × 338688
4 × 254016
6 × 169344
7 × 145152
8 × 127008
9 × 112896
12 × 84672
14 × 72576
16 × 63504
18 × 56448
21 × 48384
24 × 42336
27 × 37632
28 × 36288
32 × 31752
36 × 28224
42 × 24192
48 × 21168
49 × 20736
54 × 18816
56 × 18144
63 × 16128
64 × 15876
72 × 14112
81 × 12544
84 × 12096
96 × 10584
98 × 10368
108 × 9408
112 × 9072
126 × 8064
128 × 7938
144 × 7056
147 × 6912
162 × 6272
168 × 6048
189 × 5376
192 × 5292
196 × 5184
216 × 4704
224 × 4536
252 × 4032
256 × 3969
288 × 3528
294 × 3456
324 × 3136
336 × 3024
378 × 2688
384 × 2646
392 × 2592
432 × 2352
441 × 2304
448 × 2268
504 × 2016
567 × 1792
576 × 1764
588 × 1728
648 × 1568
672 × 1512
756 × 1344
768 × 1323
784 × 1296
864 × 1176
882 × 1152
896 × 1134
1008 × 1008
First multiples
1,016,064 · 2,032,128 (double) · 3,048,192 · 4,064,256 · 5,080,320 · 6,096,384 · 7,112,448 · 8,128,512 · 9,144,576 · 10,160,640

Sums & aliquot sequence

As a sum of two squares: 0² + 1,008²
As consecutive integers: 338,687 + 338,688 + 338,689 145,149 + 145,150 + … + 145,155 112,892 + 112,893 + … + 112,900 48,374 + 48,375 + … + 48,394
Aliquot sequence: 1,016,064 2,508,303 1,438,193 2,995 605 193 1 0 — terminates at zero

Representations

In words
one million sixteen thousand sixty-four
Ordinal
1016064th
Binary
11111000000100000000
Octal
3700400
Hexadecimal
0xF8100
Base64
D4EA
One's complement
4,293,951,231 (32-bit)
Scientific notation
1.016064 × 10⁶
As a duration
1,016,064 s = 11 days, 18 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 1220121210000
quaternary (4) 3320010000
quinary (5) 230003224
senary (6) 33440000
septenary (7) 11431200
nonary (9) 1817700
undecimal (11) 634425
duodecimal (12) 410000
tridecimal (13) 29762a
tetradecimal (14) 1c6400
pentadecimal (15) 1510c9

As an angle

1,016,064° = 2,822 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬六千零六十四
Chinese (financial)
壹佰零壹萬陸仟零陸拾肆
In other modern scripts
Eastern Arabic ١٠١٦٠٦٤ Devanagari १०१६०६४ Bengali ১০১৬০৬৪ Tamil ௧௦௧௬௦௬௪ Thai ๑๐๑๖๐๖๔ Tibetan ༡༠༡༦༠༦༤ Khmer ១០១៦០៦៤ Lao ໑໐໑໖໐໖໔ Burmese ၁၀၁၆၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016064, here are decompositions:

  • 11 + 1016053 = 1016064
  • 13 + 1016051 = 1016064
  • 31 + 1016033 = 1016064
  • 37 + 1016027 = 1016064
  • 41 + 1016023 = 1016064
  • 53 + 1016011 = 1016064
  • 73 + 1015991 = 1016064
  • 83 + 1015981 = 1016064

Showing the first eight; more decompositions exist.

Hex color
#0F8100
RGB(15, 129, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.0.

Address
0.15.129.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.129.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 6064 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6064-10-01 (MMDYYYY (US, single-digit day))
  • 6064-01-10 (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 1,016,064 and was likely granted around 1911.

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°.