Live analysis

1,007,040

1,007,040 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.).

1,007,040 (one million seven thousand forty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 1,049. Its proper divisors sum to 2,193,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DC0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,028 1,007,029 1,007,030 1,007,031 1,007,032 1,007,033 1,007,034 1,007,035 1,007,036 1,007,037 1,007,038 1,007,039 1,007,040 1,007,041 1,007,042 1,007,043 1,007,044 1,007,045 1,007,046 1,007,047 1,007,048 1,007,049 1,007,050 1,007,051 1,007,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 407,001
Square (n²): 1,014,129,561,600
Cube (n³): 1,021,269,033,713,664,000
Divisor count: 56
σ(n) — sum of divisors: 3,200,400
φ(n) — Euler's totient: 268,288
Sum of prime factors: 1,069

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 1049

Nearest primes: 1,007,023 (−17) · 1,007,047 (+7)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 192 · 240 · 320 · 480 · 960 · 1049 · 2098 · 3147 · 4196 · 5245 · 6294 · 8392 · 10490 · 12588 · 15735 · 16784 · 20980 · 25176 · 31470 · 33568 · 41960 · 50352 · 62940 · 67136 · 83920 · 100704 · 125880 · 167840 · 201408 · 251760 · 335680 · 503520 (half) · 1007040

Aliquot sum (sum of proper divisors): 2,193,360

Factor pairs (a × b = 1,007,040)

1 × 1007040

2 × 503520

3 × 335680

4 × 251760

5 × 201408

6 × 167840

8 × 125880

10 × 100704

12 × 83920

15 × 67136

16 × 62940

20 × 50352

24 × 41960

30 × 33568

32 × 31470

40 × 25176

48 × 20980

60 × 16784

64 × 15735

80 × 12588

96 × 10490

120 × 8392

160 × 6294

192 × 5245

240 × 4196

320 × 3147

480 × 2098

960 × 1049

First multiples

1,007,040 · 2,014,080 (double) · 3,021,120 · 4,028,160 · 5,035,200 · 6,042,240 · 7,049,280 · 8,056,320 · 9,063,360 · 10,070,400

Sums & aliquot sequence

As consecutive integers: 335,679 + 335,680 + 335,681 201,406 + 201,407 + 201,408 + 201,409 + 201,410 67,129 + 67,130 + … + 67,143 7,804 + 7,805 + … + 7,931

Aliquot sequence: 1,007,040 → 2,193,360 → 5,722,800 → 13,650,960 → 30,524,784 → 48,703,776 → 99,024,672 → 160,915,344 → 254,782,752 → 523,228,944 → 1,025,243,376 → 1,687,905,888 → 2,976,049,632 → 4,946,128,800 → 11,176,276,800 — keeps growing

Continued fraction of √n

√1,007,040 = [1003; (1, 1, 17, 1, 1, 2, 1, 1, 2, 1, 2, 7, 1, 2, 3, 1, 10, 1, 1, 1, 2, 1, 2, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand forty
Ordinal: 1007040th
Binary: 11110101110111000000
Octal: 3656700
Hexadecimal: 0xF5DC0
Base64: D13A
One's complement: 4,293,960,255 (32-bit)
Scientific notation: 1.00704 × 10⁶
As a duration: 1,007,040 s = 11 days, 15 hours, 44 minutes

In other bases

ternary (3) 1220011101210

quaternary (4) 3311313000

quinary (5) 224211130

senary (6) 33330120

septenary (7) 11362656

nonary (9) 1804353

undecimal (11) 628671

duodecimal (12) 406940

tridecimal (13) 2934a8

tetradecimal (14) 1c2dd6

pentadecimal (15) 14d5b0

As an angle

1,007,040° = 2,797 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬七千零四十
Chinese (financial): 壹佰萬柒仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٧٠٤٠ Devanagari १००७०४० Bengali ১০০৭০৪০ Tamil ௧௦௦௭௦௪௦ Thai ๑๐๐๗๐๔๐ Tibetan ༡༠༠༧༠༤༠ Khmer ១០០៧០៤០ Lao ໑໐໐໗໐໔໐ Burmese ၁၀၀၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007040, here are decompositions:

17 + 1007023 = 1007040
19 + 1007021 = 1007040
53 + 1006987 = 1007040
61 + 1006979 = 1007040
71 + 1006969 = 1007040
103 + 1006937 = 1007040
107 + 1006933 = 1007040
149 + 1006891 = 1007040

Showing the first eight; more decompositions exist.

Hex color

#0F5DC0

RGB(15, 93, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.192.

Address: 0.15.93.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.192

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 1,007,040 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 US1,007,040 on Google Patents ↗ Look up on USPTO ↗