Live analysis

1,009,040

1,009,040 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.).

1,009,040 (one million nine thousand forty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,613. Its proper divisors sum to 1,337,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6590.

Abundant Number Evil Number Gapful Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,009,028 1,009,029 1,009,030 1,009,031 1,009,032 1,009,033 1,009,034 1,009,035 1,009,036 1,009,037 1,009,038 1,009,039 1,009,040 1,009,041 1,009,042 1,009,043 1,009,044 1,009,045 1,009,046 1,009,047 1,009,048 1,009,049 1,009,050 1,009,051 1,009,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 409,001
Recamán's sequence: a(347,371) = 1,009,040
Square (n²): 1,018,161,721,600
Cube (n³): 1,027,365,903,563,264,000
Divisor count: 20
σ(n) — sum of divisors: 2,346,204
φ(n) — Euler's totient: 403,584
Sum of prime factors: 12,626

Primality

Prime factorization: 2 ⁴ × 5 × 12613

Nearest primes: 1,009,037 (−3) · 1,009,049 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12613 · 25226 · 50452 · 63065 · 100904 · 126130 · 201808 · 252260 · 504520 (half) · 1009040

Aliquot sum (sum of proper divisors): 1,337,164

Factor pairs (a × b = 1,009,040)

1 × 1009040

2 × 504520

4 × 252260

5 × 201808

8 × 126130

10 × 100904

16 × 63065

20 × 50452

40 × 25226

80 × 12613

First multiples

1,009,040 · 2,018,080 (double) · 3,027,120 · 4,036,160 · 5,045,200 · 6,054,240 · 7,063,280 · 8,072,320 · 9,081,360 · 10,090,400

Sums & aliquot sequence

As a sum of two squares: 32² + 1,004² = 628² + 784²

As consecutive integers: 201,806 + 201,807 + 201,808 + 201,809 + 201,810 31,517 + 31,518 + … + 31,548 6,227 + 6,228 + … + 6,386

Aliquot sequence: 1,009,040 → 1,337,164 → 1,011,980 → 1,113,220 → 1,224,584 → 1,071,526 → 562,298 → 375,142 → 193,154 → 169,726 → 87,458 → 62,494 → 31,250 → 27,343 → 777 → 439 → 1 — unresolved within range

Continued fraction of √n

√1,009,040 = [1004; (1, 1, 24, 1, 13, 2, 1, 1, 3, 6, 3, 40, 1, 2, 6, 8, 13, 5, 2, 22, 8, 2, 7, 2, …)]

Representations

In words: one million nine thousand forty
Ordinal: 1009040th
Binary: 11110110010110010000
Octal: 3662620
Hexadecimal: 0xF6590
Base64: D2WQ
One's complement: 4,293,958,255 (32-bit)
Scientific notation: 1.00904 × 10⁶
As a duration: 1,009,040 s = 11 days, 16 hours, 17 minutes, 20 seconds

In other bases

ternary (3) 1220021010212

quaternary (4) 3312112100

quinary (5) 224242130

senary (6) 33343252

septenary (7) 11401544

nonary (9) 1807125

undecimal (11) 62a11a

duodecimal (12) 407b28

tridecimal (13) 294386

tetradecimal (14) 1c3a24

pentadecimal (15) 14de95

As an angle

1,009,040° = 2,802 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬九千零四十
Chinese (financial): 壹佰萬玖仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٩٠٤٠ Devanagari १००९०४० Bengali ১০০৯০৪০ Tamil ௧௦௦௯௦௪௦ Thai ๑๐๐๙๐๔๐ Tibetan ༡༠༠༩༠༤༠ Khmer ១០០៩០៤០ Lao ໑໐໐໙໐໔໐ Burmese ၁၀၀၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009040, here are decompositions:

3 + 1009037 = 1009040
61 + 1008979 = 1009040
103 + 1008937 = 1009040
127 + 1008913 = 1009040
139 + 1008901 = 1009040
181 + 1008859 = 1009040
211 + 1008829 = 1009040
223 + 1008817 = 1009040

Showing the first eight; more decompositions exist.

Hex color

#0F6590

RGB(15, 101, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.144.

Address: 0.15.101.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.144

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 1,009,040 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 US1,009,040 on Google Patents ↗ Look up on USPTO ↗