Live analysis

1,047,040

1,047,040 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.).

1,047,040 (one million forty-seven thousand forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5 × 409. Its proper divisors sum to 1,469,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFA00.

Abundant Number Decagonal Evil Number Frugal Number Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 407,401
Square (n²): 1,096,292,761,600
Cube (n³): 1,147,862,373,105,664,000
Divisor count: 40
σ(n) — sum of divisors: 2,516,580
φ(n) — Euler's totient: 417,792
Sum of prime factors: 432

Primality

Prime factorization: 2 ⁹ × 5 × 409

Nearest primes: 1,047,031 (−9) · 1,047,041 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 256 · 320 · 409 · 512 · 640 · 818 · 1280 · 1636 · 2045 · 2560 · 3272 · 4090 · 6544 · 8180 · 13088 · 16360 · 26176 · 32720 · 52352 · 65440 · 104704 · 130880 · 209408 · 261760 · 523520 (half) · 1047040

Aliquot sum (sum of proper divisors): 1,469,540

Factor pairs (a × b = 1,047,040)

1 × 1047040

2 × 523520

4 × 261760

5 × 209408

8 × 130880

10 × 104704

16 × 65440

20 × 52352

32 × 32720

40 × 26176

64 × 16360

80 × 13088

128 × 8180

160 × 6544

256 × 4090

320 × 3272

409 × 2560

512 × 2045

640 × 1636

818 × 1280

First multiples

1,047,040 · 2,094,080 (double) · 3,141,120 · 4,188,160 · 5,235,200 · 6,282,240 · 7,329,280 · 8,376,320 · 9,423,360 · 10,470,400

Sums & aliquot sequence

As a sum of two squares: 176² + 1,008² = 464² + 912²

As consecutive integers: 209,406 + 209,407 + 209,408 + 209,409 + 209,410 2,356 + 2,357 + … + 2,764 511 + 512 + … + 1,534

Aliquot sequence: 1,047,040 → 1,469,540 → 1,616,536 → 1,414,484 → 1,060,870 → 848,714 → 468,346 → 253,274 → 188,326 → 122,714 → 61,360 → 94,880 → 129,652 → 97,246 → 48,626 → 26,218 → 13,112 — unresolved within range

Continued fraction of √n

√1,047,040 = [1023; (4, 227, 7, 4, 1, 24, 2, 5, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 31, 2, 1, 3, 22, …)]

Representations

In words: one million forty-seven thousand forty
Ordinal: 1047040th
Binary: 11111111101000000000
Octal: 3775000
Hexadecimal: 0xFFA00
Base64: D/oA
One's complement: 4,293,920,255 (32-bit)
Scientific notation: 1.04704 × 10⁶
As a duration: 1,047,040 s = 12 days, 2 hours, 50 minutes, 40 seconds

In other bases

ternary (3) 1222012021021

quaternary (4) 3333220000

quinary (5) 232001130

senary (6) 34235224

septenary (7) 11620411

nonary (9) 1865237

undecimal (11) 655725

duodecimal (12) 425b14

tridecimal (13) 2a8767

tetradecimal (14) 1d3808

pentadecimal (15) 15a37a

As an angle

1,047,040° = 2,908 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零四萬七千零四十
Chinese (financial): 壹佰零肆萬柒仟零肆拾

In other modern scripts

Eastern Arabic ١٠٤٧٠٤٠ Devanagari १०४७०४० Bengali ১০৪৭০৪০ Tamil ௧௦௪௭௦௪௦ Thai ๑๐๔๗๐๔๐ Tibetan ༡༠༤༧༠༤༠ Khmer ១០៤៧០៤០ Lao ໑໐໔໗໐໔໐ Burmese ၁၀၄၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1047040, here are decompositions:

41 + 1046999 = 1047040
47 + 1046993 = 1047040
89 + 1046951 = 1047040
107 + 1046933 = 1047040
173 + 1046867 = 1047040
191 + 1046849 = 1047040
233 + 1046807 = 1047040
353 + 1046687 = 1047040

Showing the first eight; more decompositions exist.

Hex color

#0FFA00

RGB(15, 250, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.250.0.

Address: 0.15.250.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.250.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 7040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7040-04-01 (DMMYYYY (Euro, single-digit day))
7040-10-04 (MMDYYYY (US, single-digit day))
7040-04-10 (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 1,047,040 and was likely granted around 1912.

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

Look up US1,047,040 on Google Patents ↗ Look up on USPTO ↗