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1,010,016

1,010,016 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.).

1,010,016 (one million ten thousand sixteen) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 7 × 167. Its proper divisors sum to 2,376,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6960.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,100,101
Flips to (rotate 180°)
9,100,101
Square (n²)
1,020,132,320,256
Cube (n³)
1,030,349,965,575,684,096
Divisor count
96
σ(n) — sum of divisors
3,386,880
φ(n) — Euler's totient
286,848
Sum of prime factors
193

Primality

Prime factorization: 2 5 × 3 3 × 7 × 167

Nearest primes: 1,010,003 (−13) · 1,010,033 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 48 · 54 · 56 · 63 · 72 · 84 · 96 · 108 · 112 · 126 · 144 · 167 · 168 · 189 · 216 · 224 · 252 · 288 · 334 · 336 · 378 · 432 · 501 · 504 · 668 · 672 · 756 · 864 · 1002 · 1008 · 1169 · 1336 · 1503 · 1512 · 2004 · 2016 · 2338 · 2672 · 3006 · 3024 · 3507 · 4008 · 4509 · 4676 · 5344 · 6012 · 6048 · 7014 · 8016 · 9018 · 9352 · 10521 · 12024 · 14028 · 16032 · 18036 · 18704 · 21042 · 24048 · 28056 · 31563 · 36072 · 37408 · 42084 · 48096 · 56112 · 63126 · 72144 · 84168 · 112224 · 126252 · 144288 · 168336 · 252504 · 336672 · 505008 (half) · 1010016
Aliquot sum (sum of proper divisors): 2,376,864
Factor pairs (a × b = 1,010,016)
1 × 1010016
2 × 505008
3 × 336672
4 × 252504
6 × 168336
7 × 144288
8 × 126252
9 × 112224
12 × 84168
14 × 72144
16 × 63126
18 × 56112
21 × 48096
24 × 42084
27 × 37408
28 × 36072
32 × 31563
36 × 28056
42 × 24048
48 × 21042
54 × 18704
56 × 18036
63 × 16032
72 × 14028
84 × 12024
96 × 10521
108 × 9352
112 × 9018
126 × 8016
144 × 7014
167 × 6048
168 × 6012
189 × 5344
216 × 4676
224 × 4509
252 × 4008
288 × 3507
334 × 3024
336 × 3006
378 × 2672
432 × 2338
501 × 2016
504 × 2004
668 × 1512
672 × 1503
756 × 1336
864 × 1169
1002 × 1008
First multiples
1,010,016 · 2,020,032 (double) · 3,030,048 · 4,040,064 · 5,050,080 · 6,060,096 · 7,070,112 · 8,080,128 · 9,090,144 · 10,100,160

Sums & aliquot sequence

As consecutive integers: 336,671 + 336,672 + 336,673 144,285 + 144,286 + … + 144,291 112,220 + 112,221 + … + 112,228 48,086 + 48,087 + … + 48,106
Aliquot sequence: 1,010,016 2,376,864 5,673,024 14,017,056 22,777,968 36,065,240 47,064,520 64,405,880 117,729,640 203,056,280 319,089,160 454,089,680 711,710,704 679,883,016 1,019,824,584 1,529,736,936 3,177,152,664 — unresolved within range

Continued fraction of √n

√1,010,016 = [1004; (1, 222, 3, 222, 1, 2008)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand sixteen
Ordinal
1010016th
Binary
11110110100101100000
Octal
3664540
Hexadecimal
0xF6960
Base64
D2lg
One's complement
4,293,957,279 (32-bit)
Scientific notation
1.010016 × 10⁶
As a duration
1,010,016 s = 11 days, 16 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 1220022111000
quaternary (4) 3312211200
quinary (5) 224310031
senary (6) 33352000
septenary (7) 11404440
nonary (9) 1808430
undecimal (11) 62a927
duodecimal (12) 408600
tridecimal (13) 294957
tetradecimal (14) 1c4120
pentadecimal (15) 14e3e6

As an angle

1,010,016° = 2,805 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬零一十六
Chinese (financial)
壹佰零壹萬零壹拾陸
In other modern scripts
Eastern Arabic ١٠١٠٠١٦ Devanagari १०१००१६ Bengali ১০১০০১৬ Tamil ௧௦௧௦௦௧௬ Thai ๑๐๑๐๐๑๖ Tibetan ༡༠༡༠༠༡༦ Khmer ១០១០០១៦ Lao ໑໐໑໐໐໑໖ Burmese ၁၀၁၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010016, here are decompositions:

  • 13 + 1010003 = 1010016
  • 19 + 1009997 = 1010016
  • 23 + 1009993 = 1010016
  • 53 + 1009963 = 1010016
  • 79 + 1009937 = 1010016
  • 89 + 1009927 = 1010016
  • 107 + 1009909 = 1010016
  • 157 + 1009859 = 1010016

Showing the first eight; more decompositions exist.

Hex color
#0F6960
RGB(15, 105, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.96.

Address
0.15.105.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.105.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 0016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0016-10-01 (MMDYYYY (US, single-digit day))
  • 0016-01-10 (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 1,010,016 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°.