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1,018,016

1,018,016 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.).

1,018,016 (one million eighteen thousand sixteen) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 29 × 1,097. Its proper divisors sum to 1,057,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF88A0.

Abundant Number Evil Number Flippable Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
6,108,101
Flips to (rotate 180°)
9,108,101
Square (n²)
1,036,356,576,256
Cube (n³)
1,055,027,576,333,828,096
Divisor count
24
σ(n) — sum of divisors
2,075,220
φ(n) — Euler's totient
491,008
Sum of prime factors
1,136

Primality

Prime factorization: 2 5 × 29 × 1097

Nearest primes: 1,018,007 (−9) · 1,018,019 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 116 · 232 · 464 · 928 · 1097 · 2194 · 4388 · 8776 · 17552 · 31813 · 35104 · 63626 · 127252 · 254504 · 509008 (half) · 1018016
Aliquot sum (sum of proper divisors): 1,057,204
Factor pairs (a × b = 1,018,016)
1 × 1018016
2 × 509008
4 × 254504
8 × 127252
16 × 63626
29 × 35104
32 × 31813
58 × 17552
116 × 8776
232 × 4388
464 × 2194
928 × 1097
First multiples
1,018,016 · 2,036,032 (double) · 3,054,048 · 4,072,064 · 5,090,080 · 6,108,096 · 7,126,112 · 8,144,128 · 9,162,144 · 10,180,160

Sums & aliquot sequence

As a sum of two squares: 100² + 1,004² = 620² + 796²
As consecutive integers: 35,090 + 35,091 + … + 35,118 15,875 + 15,876 + … + 15,938 380 + 381 + … + 1,476
Aliquot sequence: 1,018,016 1,057,204 792,910 673,586 336,796 252,604 229,724 229,924 181,340 199,516 161,124 228,636 392,964 688,956 918,636 1,283,844 1,750,236 — unresolved within range

Continued fraction of √n

√1,018,016 = [1008; (1, 30, 21, 1, 9, 5, 2, 1, 1, 1, 1, 3, 4, 1, 125, 3, 4, 1, 1, 7, 1, 4, 1, 1, …)]

Representations

In words
one million eighteen thousand sixteen
Ordinal
1018016th
Binary
11111000100010100000
Octal
3704240
Hexadecimal
0xF88A0
Base64
D4ig
One's complement
4,293,949,279 (32-bit)
Scientific notation
1.018016 × 10⁶
As a duration
1,018,016 s = 11 days, 18 hours, 46 minutes, 56 seconds
In other bases
ternary (3) 1220201110022
quaternary (4) 3320202200
quinary (5) 230034031
senary (6) 33453012
septenary (7) 11436656
nonary (9) 1821408
undecimal (11) 63593a
duodecimal (12) 411168
tridecimal (13) 29849c
tetradecimal (14) 1c6dd6
pentadecimal (15) 15197b

As an angle

1,018,016° = 2,827 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬八千零一十六
Chinese (financial)
壹佰零壹萬捌仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠١٨٠١٦ Devanagari १०१८०१६ Bengali ১০১৮০১৬ Tamil ௧௦௧௮௦௧௬ Thai ๑๐๑๘๐๑๖ Tibetan ༡༠༡༨༠༡༦ Khmer ១០១៨០១៦ Lao ໑໐໑໘໐໑໖ Burmese ၁၀၁၈၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018016, here are decompositions:

  • 19 + 1017997 = 1018016
  • 127 + 1017889 = 1018016
  • 157 + 1017859 = 1018016
  • 199 + 1017817 = 1018016
  • 229 + 1017787 = 1018016
  • 313 + 1017703 = 1018016
  • 367 + 1017649 = 1018016
  • 409 + 1017607 = 1018016

Showing the first eight; more decompositions exist.

Hex color
#0F88A0
RGB(15, 136, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.160.

Address
0.15.136.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.136.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 8016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8016-10-01 (MMDYYYY (US, single-digit day))
  • 8016-01-10 (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 1,018,016 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°.