Live analysis

1,018,040

1,018,040 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.).

1,018,040 (one million eighteen thousand forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 31 × 821. Its proper divisors sum to 1,349,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF88B8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,018,028 1,018,029 1,018,030 1,018,031 1,018,032 1,018,033 1,018,034 1,018,035 1,018,036 1,018,037 1,018,038 1,018,039 1,018,040 1,018,041 1,018,042 1,018,043 1,018,044 1,018,045 1,018,046 1,018,047 1,018,048 1,018,049 1,018,050 1,018,051 1,018,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 408,101
Square (n²): 1,036,405,441,600
Cube (n³): 1,055,102,195,766,464,000
Divisor count: 32
σ(n) — sum of divisors: 2,367,360
φ(n) — Euler's totient: 393,600
Sum of prime factors: 863

Primality

Prime factorization: 2 ³ × 5 × 31 × 821

Nearest primes: 1,018,021 (−19) · 1,018,057 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 31 · 40 · 62 · 124 · 155 · 248 · 310 · 620 · 821 · 1240 · 1642 · 3284 · 4105 · 6568 · 8210 · 16420 · 25451 · 32840 · 50902 · 101804 · 127255 · 203608 · 254510 · 509020 (half) · 1018040

Aliquot sum (sum of proper divisors): 1,349,320

Factor pairs (a × b = 1,018,040)

1 × 1018040

2 × 509020

4 × 254510

5 × 203608

8 × 127255

10 × 101804

20 × 50902

31 × 32840

40 × 25451

62 × 16420

124 × 8210

155 × 6568

248 × 4105

310 × 3284

620 × 1642

821 × 1240

First multiples

1,018,040 · 2,036,080 (double) · 3,054,120 · 4,072,160 · 5,090,200 · 6,108,240 · 7,126,280 · 8,144,320 · 9,162,360 · 10,180,400

Sums & aliquot sequence

As consecutive integers: 203,606 + 203,607 + 203,608 + 203,609 + 203,610 63,620 + 63,621 + … + 63,635 32,825 + 32,826 + … + 32,855 12,686 + 12,687 + … + 12,765

Aliquot sequence: 1,018,040 → 1,349,320 → 2,221,880 → 2,777,440 → 3,784,640 → 5,228,296 → 4,574,774 → 2,287,390 → 2,538,914 → 1,845,982 → 968,570 → 774,874 → 387,440 → 550,000 → 903,032 → 1,020,568 → 1,020,632 — unresolved within range

Continued fraction of √n

√1,018,040 = [1008; (1, 48, 4, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 16, 17, 2, 1, 40, 1, 1, 25, 26, 1, 1, …)]

Representations

In words: one million eighteen thousand forty
Ordinal: 1018040th
Binary: 11111000100010111000
Octal: 3704270
Hexadecimal: 0xF88B8
Base64: D4i4
One's complement: 4,293,949,255 (32-bit)
Scientific notation: 1.01804 × 10⁶
As a duration: 1,018,040 s = 11 days, 18 hours, 47 minutes, 20 seconds

In other bases

ternary (3) 1220201111012

quaternary (4) 3320202320

quinary (5) 230034130

senary (6) 33453052

septenary (7) 11440022

nonary (9) 1821435

undecimal (11) 635961

duodecimal (12) 411188

tridecimal (13) 2984ba

tetradecimal (14) 1c7012

pentadecimal (15) 151995

As an angle

1,018,040° = 2,827 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零一萬八千零四十
Chinese (financial): 壹佰零壹萬捌仟零肆拾

In other modern scripts

Eastern Arabic ١٠١٨٠٤٠ Devanagari १०१८०४० Bengali ১০১৮০৪০ Tamil ௧௦௧௮௦௪௦ Thai ๑๐๑๘๐๔๐ Tibetan ༡༠༡༨༠༤༠ Khmer ១០១៨០៤០ Lao ໑໐໑໘໐໔໐ Burmese ၁၀၁၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018040, here are decompositions:

19 + 1018021 = 1018040
43 + 1017997 = 1018040
151 + 1017889 = 1018040
181 + 1017859 = 1018040
193 + 1017847 = 1018040
223 + 1017817 = 1018040
241 + 1017799 = 1018040
337 + 1017703 = 1018040

Showing the first eight; more decompositions exist.

Hex color

#0F88B8

RGB(15, 136, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.184.

Address: 0.15.136.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.136.184

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 8040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

8040-10-01 (MMDYYYY (US, single-digit day))
8040-01-10 (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 1,018,040 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,018,040 on Google Patents ↗ Look up on USPTO ↗