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1,018,112

1,018,112 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.).

1,018,112 (one million eighteen thousand one hundred twelve) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 41 × 97. Its proper divisors sum to 1,085,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8900.

Abundant Number Frugal Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
2,118,101
Square (n²)
1,036,552,044,544
Cube (n³)
1,055,326,075,174,780,928
Divisor count
36
σ(n) — sum of divisors
2,103,276
φ(n) — Euler's totient
491,520
Sum of prime factors
154

Primality

Prime factorization: 2 8 × 41 × 97

Nearest primes: 1,018,109 (−3) · 1,018,123 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 16 · 32 · 41 · 64 · 82 · 97 · 128 · 164 · 194 · 256 · 328 · 388 · 656 · 776 · 1312 · 1552 · 2624 · 3104 · 3977 · 5248 · 6208 · 7954 · 10496 · 12416 · 15908 · 24832 · 31816 · 63632 · 127264 · 254528 · 509056 (half) · 1018112
Aliquot sum (sum of proper divisors): 1,085,164
Factor pairs (a × b = 1,018,112)
1 × 1018112
2 × 509056
4 × 254528
8 × 127264
16 × 63632
32 × 31816
41 × 24832
64 × 15908
82 × 12416
97 × 10496
128 × 7954
164 × 6208
194 × 5248
256 × 3977
328 × 3104
388 × 2624
656 × 1552
776 × 1312
First multiples
1,018,112 · 2,036,224 (double) · 3,054,336 · 4,072,448 · 5,090,560 · 6,108,672 · 7,126,784 · 8,144,896 · 9,163,008 · 10,181,120

Sums & aliquot sequence

As a sum of two squares: 256² + 976² = 464² + 896²
As consecutive integers: 24,812 + 24,813 + … + 24,852 10,448 + 10,449 + … + 10,544 1,733 + 1,734 + … + 2,244
Aliquot sequence: 1,018,112 1,085,164 841,124 637,276 477,964 407,480 529,960 662,540 744,292 634,652 475,996 364,452 573,996 809,428 607,078 303,542 151,774 — unresolved within range

Continued fraction of √n

√1,018,112 = [1009; (65, 10, 3, 1, 1, 3, 2, 27, 4, 1, 6, 4, 2, 1, 7, 5, 4, 2, 19, 6, 1, 6, 8, 41, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one million eighteen thousand one hundred twelve
Ordinal
1018112th
Binary
11111000100100000000
Octal
3704400
Hexadecimal
0xF8900
Base64
D4kA
One's complement
4,293,949,183 (32-bit)
Scientific notation
1.018112 × 10⁶
As a duration
1,018,112 s = 11 days, 18 hours, 48 minutes, 32 seconds
In other bases
ternary (3) 1220201120212
quaternary (4) 3320210000
quinary (5) 230034422
senary (6) 33453252
septenary (7) 11440154
nonary (9) 1821525
undecimal (11) 635a17
duodecimal (12) 411228
tridecimal (13) 298544
tetradecimal (14) 1c7064
pentadecimal (15) 1519e2

As an angle

1,018,112° = 2,828 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百零一萬八千一百一十二
Chinese (financial)
壹佰零壹萬捌仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠١٨١١٢ Devanagari १०१८११२ Bengali ১০১৮১১২ Tamil ௧௦௧௮௧௧௨ Thai ๑๐๑๘๑๑๒ Tibetan ༡༠༡༨༡༡༢ Khmer ១០១៨១១២ Lao ໑໐໑໘໑໑໒ Burmese ၁၀၁၈၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018112, here are decompositions:

  • 3 + 1018109 = 1018112
  • 223 + 1017889 = 1018112
  • 313 + 1017799 = 1018112
  • 331 + 1017781 = 1018112
  • 409 + 1017703 = 1018112
  • 439 + 1017673 = 1018112
  • 463 + 1017649 = 1018112
  • 499 + 1017613 = 1018112

Showing the first eight; more decompositions exist.

Hex color
#0F8900
RGB(15, 137, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.137.0.

Address
0.15.137.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.137.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 8112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8112-10-01 (MMDYYYY (US, single-digit day))
  • 8112-01-10 (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 1,018,112 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°.