Live analysis

1,008,040

1,008,040 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.).

1,008,040 (one million eight thousand forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 11 × 29 × 79. Its proper divisors sum to 1,583,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61A8.

Abundant Number Arithmetic Number Evil Number Gapful Number Octagonal Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,008,028 1,008,029 1,008,030 1,008,031 1,008,032 1,008,033 1,008,034 1,008,035 1,008,036 1,008,037 1,008,038 1,008,039 1,008,040 1,008,041 1,008,042 1,008,043 1,008,044 1,008,045 1,008,046 1,008,047 1,008,048 1,008,049 1,008,050 1,008,051 1,008,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 408,001
Recamán's sequence: a(349,371) = 1,008,040
Square (n²): 1,016,144,641,600
Cube (n³): 1,024,314,444,518,464,000
Divisor count: 64
σ(n) — sum of divisors: 2,592,000
φ(n) — Euler's totient: 349,440
Sum of prime factors: 130

Primality

Prime factorization: 2 ³ × 5 × 11 × 29 × 79

Nearest primes: 1,008,037 (−3) · 1,008,041 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 29 · 40 · 44 · 55 · 58 · 79 · 88 · 110 · 116 · 145 · 158 · 220 · 232 · 290 · 316 · 319 · 395 · 440 · 580 · 632 · 638 · 790 · 869 · 1160 · 1276 · 1580 · 1595 · 1738 · 2291 · 2552 · 3160 · 3190 · 3476 · 4345 · 4582 · 6380 · 6952 · 8690 · 9164 · 11455 · 12760 · 17380 · 18328 · 22910 · 25201 · 34760 · 45820 · 50402 · 91640 · 100804 · 126005 · 201608 · 252010 · 504020 (half) · 1008040

Aliquot sum (sum of proper divisors): 1,583,960

Factor pairs (a × b = 1,008,040)

1 × 1008040

2 × 504020

4 × 252010

5 × 201608

8 × 126005

10 × 100804

11 × 91640

20 × 50402

22 × 45820

29 × 34760

40 × 25201

44 × 22910

55 × 18328

58 × 17380

79 × 12760

88 × 11455

110 × 9164

116 × 8690

145 × 6952

158 × 6380

220 × 4582

232 × 4345

290 × 3476

316 × 3190

319 × 3160

395 × 2552

440 × 2291

580 × 1738

632 × 1595

638 × 1580

790 × 1276

869 × 1160

First multiples

1,008,040 · 2,016,080 (double) · 3,024,120 · 4,032,160 · 5,040,200 · 6,048,240 · 7,056,280 · 8,064,320 · 9,072,360 · 10,080,400

Sums & aliquot sequence

As consecutive integers: 201,606 + 201,607 + 201,608 + 201,609 + 201,610 91,635 + 91,636 + … + 91,645 62,995 + 62,996 + … + 63,010 34,746 + 34,747 + … + 34,774

Aliquot sequence: 1,008,040 → 1,583,960 → 2,489,800 → 3,425,000 → 4,660,420 → 5,126,504 → 5,349,496 → 4,680,824 → 4,477,576 → 3,940,664 → 5,154,856 → 5,891,384 → 5,805,016 → 7,178,024 → 8,875,096 → 7,765,724 → 5,824,300 — unresolved within range

Continued fraction of √n

√1,008,040 = [1004; (83, 1, 2, 222, 1, 3, 1, 1, 8, 1, 2, 1, 6, 24, 1, 1, 1, 3, 1, 6, 6, 6, 1, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand forty
Ordinal: 1008040th
Binary: 11110110000110101000
Octal: 3660650
Hexadecimal: 0xF61A8
Base64: D2Go
One's complement: 4,293,959,255 (32-bit)
Scientific notation: 1.00804 × 10⁶
As a duration: 1,008,040 s = 11 days, 16 hours, 40 seconds

In other bases

ternary (3) 1220012202211

quaternary (4) 3312012220

quinary (5) 224224130

senary (6) 33334504

septenary (7) 11365615

nonary (9) 1805684

undecimal (11) 6293a0

duodecimal (12) 407434

tridecimal (13) 293a97

tetradecimal (14) 1c350c

pentadecimal (15) 14da2a

As an angle

1,008,040° = 2,800 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬八千零四十
Chinese (financial): 壹佰萬捌仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٨٠٤٠ Devanagari १००८०४० Bengali ১০০৮০৪০ Tamil ௧௦௦௮௦௪௦ Thai ๑๐๐๘๐๔๐ Tibetan ༡༠༠༨༠༤༠ Khmer ១០០៨០៤០ Lao ໑໐໐໘໐໔໐ Burmese ၁၀၀၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008040, here are decompositions:

3 + 1008037 = 1008040
23 + 1008017 = 1008040
83 + 1007957 = 1008040
101 + 1007939 = 1008040
107 + 1007933 = 1008040
149 + 1007891 = 1008040
167 + 1007873 = 1008040
179 + 1007861 = 1008040

Showing the first eight; more decompositions exist.

Hex color

#0F61A8

RGB(15, 97, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.168.

Address: 0.15.97.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.168

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 1,008,040 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 US1,008,040 on Google Patents ↗ Look up on USPTO ↗