Live analysis

1,040,000

1,040,000 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.).

1,040,000 (one million forty thousand) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁷ × 5⁴ × 13. Its proper divisors sum to 1,748,170, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDE80.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,039,988 1,039,989 1,039,990 1,039,991 1,039,992 1,039,993 1,039,994 1,039,995 1,039,996 1,039,997 1,039,998 1,039,999 1,040,000 1,040,001 1,040,002 1,040,003 1,040,004 1,040,005 1,040,006 1,040,007 1,040,008 1,040,009 1,040,010 1,040,011 1,040,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 401
Square (n²): 1,081,600,000,000
Cube (n³): 1,124,864,000,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 2,788,170
φ(n) — Euler's totient: 384,000
Sum of prime factors: 47

Primality

Prime factorization: 2 ⁷ × 5 ⁴ × 13

Nearest primes: 1,039,999 (−1) · 1,040,021 (+21)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 32 · 40 · 50 · 52 · 64 · 65 · 80 · 100 · 104 · 125 · 128 · 130 · 160 · 200 · 208 · 250 · 260 · 320 · 325 · 400 · 416 · 500 · 520 · 625 · 640 · 650 · 800 · 832 · 1000 · 1040 · 1250 · 1300 · 1600 · 1625 · 1664 · 2000 · 2080 · 2500 · 2600 · 3200 · 3250 · 4000 · 4160 · 5000 · 5200 · 6500 · 8000 · 8125 · 8320 · 10000 · 10400 · 13000 · 16000 · 16250 · 20000 · 20800 · 26000 · 32500 · 40000 · 41600 · 52000 · 65000 · 80000 · 104000 · 130000 · 208000 · 260000 · 520000 (half) · 1040000

Aliquot sum (sum of proper divisors): 1,748,170

Factor pairs (a × b = 1,040,000)

1 × 1040000

2 × 520000

4 × 260000

5 × 208000

8 × 130000

10 × 104000

13 × 80000

16 × 65000

20 × 52000

25 × 41600

26 × 40000

32 × 32500

40 × 26000

50 × 20800

52 × 20000

64 × 16250

65 × 16000

80 × 13000

100 × 10400

104 × 10000

125 × 8320

128 × 8125

130 × 8000

160 × 6500

200 × 5200

208 × 5000

250 × 4160

260 × 4000

320 × 3250

325 × 3200

400 × 2600

416 × 2500

500 × 2080

520 × 2000

625 × 1664

640 × 1625

650 × 1600

800 × 1300

832 × 1250

1000 × 1040

First multiples

1,040,000 · 2,080,000 (double) · 3,120,000 · 4,160,000 · 5,200,000 · 6,240,000 · 7,280,000 · 8,320,000 · 9,360,000 · 10,400,000

Sums & aliquot sequence

As a sum of two squares: 88² + 1,016² = 200² + 1,000² = 440² + 920² = 472² + 904²

As consecutive integers: 207,998 + 207,999 + 208,000 + 208,001 + 208,002 79,994 + 79,995 + … + 80,006 41,588 + 41,589 + … + 41,612 15,968 + 15,969 + … + 16,032

Aliquot sequence: 1,040,000 → 1,748,170 → 1,452,950 → 1,249,630 → 1,118,450 → 961,960 → 1,202,540 → 1,322,836 → 1,004,076 → 1,630,556 → 1,222,924 → 975,300 → 1,847,436 → 2,463,276 → 3,315,588 → 4,982,268 → 6,643,052 — unresolved within range

Continued fraction of √n

√1,040,000 = [1019; (1, 4, 10, 20, 3, 2, 1, 4, 2, 1, 1, 80, 1, 126, 2, 19, 1, 8, 1, 4, 5, 81, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand
Ordinal: 1040000th
Binary: 11111101111010000000
Octal: 3757200
Hexadecimal: 0xFDE80
Base64: D96A
One's complement: 4,293,927,295 (32-bit)
Scientific notation: 1.04 × 10⁶
As a duration: 1,040,000 s = 12 days, 53 minutes, 20 seconds

In other bases

ternary (3) 1221211121112

quaternary (4) 3331322000

quinary (5) 231240000

senary (6) 34142452

septenary (7) 11561033

nonary (9) 1854545

undecimal (11) 650405

duodecimal (12) 421a28

tridecimal (13) 2a54b0

tetradecimal (14) 1d101a

pentadecimal (15) 158235

As an angle

1,040,000° = 2,888 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍
Chinese: 一百零四萬
Chinese (financial): 壹佰零肆萬

In other modern scripts

Eastern Arabic ١٠٤٠٠٠٠ Devanagari १०४०००० Bengali ১০৪০০০০ Tamil ௧௦௪௦௦௦௦ Thai ๑๐๔๐๐๐๐ Tibetan ༡༠༤༠༠༠༠ Khmer ១០៤០០០០ Lao ໑໐໔໐໐໐໐ Burmese ၁၀၄၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040000, here are decompositions:

79 + 1039921 = 1040000
103 + 1039897 = 1040000
109 + 1039891 = 1040000
163 + 1039837 = 1040000
211 + 1039789 = 1040000
349 + 1039651 = 1040000
397 + 1039603 = 1040000
457 + 1039543 = 1040000

Showing the first eight; more decompositions exist.

Hex color

#0FDE80

RGB(15, 222, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.128.

Address: 0.15.222.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.128

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 1,040,000 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 US1,040,000 on Google Patents ↗ Look up on USPTO ↗