Live analysis

1,006,040

1,006,040 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.).

1,006,040 (one million six thousand forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 3,593. Its proper divisors sum to 1,581,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,028 1,006,029 1,006,030 1,006,031 1,006,032 1,006,033 1,006,034 1,006,035 1,006,036 1,006,037 1,006,038 1,006,039 1,006,040 1,006,041 1,006,042 1,006,043 1,006,044 1,006,045 1,006,046 1,006,047 1,006,048 1,006,049 1,006,050 1,006,051 1,006,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 406,001
Square (n²): 1,012,116,481,600
Cube (n³): 1,018,229,665,148,864,000
Divisor count: 32
σ(n) — sum of divisors: 2,587,680
φ(n) — Euler's totient: 344,832
Sum of prime factors: 3,611

Primality

Prime factorization: 2 ³ × 5 × 7 × 3593

Nearest primes: 1,006,037 (−3) · 1,006,063 (+23)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 3593 · 7186 · 14372 · 17965 · 25151 · 28744 · 35930 · 50302 · 71860 · 100604 · 125755 · 143720 · 201208 · 251510 · 503020 (half) · 1006040

Aliquot sum (sum of proper divisors): 1,581,640

Factor pairs (a × b = 1,006,040)

1 × 1006040

2 × 503020

4 × 251510

5 × 201208

7 × 143720

8 × 125755

10 × 100604

14 × 71860

20 × 50302

28 × 35930

35 × 28744

40 × 25151

56 × 17965

70 × 14372

140 × 7186

280 × 3593

First multiples

1,006,040 · 2,012,080 (double) · 3,018,120 · 4,024,160 · 5,030,200 · 6,036,240 · 7,042,280 · 8,048,320 · 9,054,360 · 10,060,400

Sums & aliquot sequence

As consecutive integers: 201,206 + 201,207 + 201,208 + 201,209 + 201,210 143,717 + 143,718 + … + 143,723 62,870 + 62,871 + … + 62,885 28,727 + 28,728 + … + 28,761

Aliquot sequence: 1,006,040 → 1,581,640 → 1,977,140 → 2,938,540 → 4,358,372 → 3,670,348 → 3,336,764 → 2,521,060 → 2,805,716 → 2,116,684 → 1,650,716 → 1,247,116 → 1,187,204 → 890,410 → 712,346 → 356,176 → 343,556 — unresolved within range

Continued fraction of √n

√1,006,040 = [1003; (64, 1, 2, 2, 4, 1, 1, 6, 4, 2, 2, 1, 1, 30, 3, 1, 1, 1, 1, 4, 2, 1, 1, 4, …)]

Representations

In words: one million six thousand forty
Ordinal: 1006040th
Binary: 11110101100111011000
Octal: 3654730
Hexadecimal: 0xF59D8
Base64: D1nY
One's complement: 4,293,961,255 (32-bit)
Scientific notation: 1.00604 × 10⁶
As a duration: 1,006,040 s = 11 days, 15 hours, 27 minutes, 20 seconds

In other bases

ternary (3) 1220010000202

quaternary (4) 3311213120

quinary (5) 224143130

senary (6) 33321332

septenary (7) 11360030

nonary (9) 1803022

undecimal (11) 627942

duodecimal (12) 406248

tridecimal (13) 292bb9

tetradecimal (14) 1c28c0

pentadecimal (15) 14d145

As an angle

1,006,040° = 2,794 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬六千零四十
Chinese (financial): 壹佰萬陸仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٦٠٤٠ Devanagari १००६०४० Bengali ১০০৬০৪০ Tamil ௧௦௦௬௦௪௦ Thai ๑๐๐๖๐๔๐ Tibetan ༡༠༠༦༠༤༠ Khmer ១០០៦០៤០ Lao ໑໐໐໖໐໔໐ Burmese ၁၀၀၆၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006040, here are decompositions:

3 + 1006037 = 1006040
19 + 1006021 = 1006040
37 + 1006003 = 1006040
103 + 1005937 = 1006040
109 + 1005931 = 1006040
127 + 1005913 = 1006040
157 + 1005883 = 1006040
331 + 1005709 = 1006040

Showing the first eight; more decompositions exist.

Hex color

#0F59D8

RGB(15, 89, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.216.

Address: 0.15.89.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.216

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

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 1,006,040 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 US1,006,040 on Google Patents ↗ Look up on USPTO ↗