Live analysis

1,010,000

1,010,000 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.).

1,010,000 (one million ten thousand) is an even 7-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 5⁴ × 101. Its proper divisors sum to 1,459,522, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6950.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 101
Flips to (rotate 180°): 101
Square (n²): 1,020,100,000,000
Cube (n³): 1,030,301,000,000,000,000
Divisor count: 50
σ(n) — sum of divisors: 2,469,522
φ(n) — Euler's totient: 400,000
Sum of prime factors: 129

Primality

Prime factorization: 2 ⁴ × 5 ⁴ × 101

Nearest primes: 1,009,997 (−3) · 1,010,003 (+3)

Divisors & multiples

All divisors (50)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 101 · 125 · 200 · 202 · 250 · 400 · 404 · 500 · 505 · 625 · 808 · 1000 · 1010 · 1250 · 1616 · 2000 · 2020 · 2500 · 2525 · 4040 · 5000 · 5050 · 8080 · 10000 · 10100 · 12625 · 20200 · 25250 · 40400 · 50500 · 63125 · 101000 · 126250 · 202000 · 252500 · 505000 (half) · 1010000

Aliquot sum (sum of proper divisors): 1,459,522

Factor pairs (a × b = 1,010,000)

1 × 1010000

2 × 505000

4 × 252500

5 × 202000

8 × 126250

10 × 101000

16 × 63125

20 × 50500

25 × 40400

40 × 25250

50 × 20200

80 × 12625

100 × 10100

101 × 10000

125 × 8080

200 × 5050

202 × 5000

250 × 4040

400 × 2525

404 × 2500

500 × 2020

505 × 2000

625 × 1616

808 × 1250

1000 × 1010

First multiples

1,010,000 · 2,020,000 (double) · 3,030,000 · 4,040,000 · 5,050,000 · 6,060,000 · 7,070,000 · 8,080,000 · 9,090,000 · 10,100,000

Sums & aliquot sequence

As a sum of two squares: 100² + 1,000² = 184² + 988² = 376² + 932² = 520² + 860²

As consecutive integers: 201,998 + 201,999 + 202,000 + 202,001 + 202,002 40,388 + 40,389 + … + 40,412 31,547 + 31,548 + … + 31,578 9,950 + 9,951 + … + 10,050

Aliquot sequence: 1,010,000 → 1,459,522 → 729,764 → 755,356 → 786,884 → 805,756 → 834,932 → 834,988 → 987,476 → 987,532 → 1,140,244 → 1,162,924 → 1,222,004 → 1,351,756 → 1,470,644 → 1,529,164 → 1,765,204 — unresolved within range

Continued fraction of √n

√1,010,000 = [1004; (1, 79, 2, 1, 1, 79, 1, 3, 1, 79, 1, 1, 2, 79, 1, 2008)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand
Ordinal: 1010000th
Binary: 11110110100101010000
Octal: 3664520
Hexadecimal: 0xF6950
Base64: D2lQ
One's complement: 4,293,957,295 (32-bit)
Scientific notation: 1.01 × 10⁶
As a duration: 1,010,000 s = 11 days, 16 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1220022110102

quaternary (4) 3312211100

quinary (5) 224310000

senary (6) 33351532

septenary (7) 11404415

nonary (9) 1808412

undecimal (11) 62a912

duodecimal (12) 4085a8

tridecimal (13) 294944

tetradecimal (14) 1c410c

pentadecimal (15) 14e3d5

As an angle

1,010,000° = 2,805 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍
Chinese: 一百零一萬
Chinese (financial): 壹佰零壹萬

In other modern scripts

Eastern Arabic ١٠١٠٠٠٠ Devanagari १०१०००० Bengali ১০১০০০০ Tamil ௧௦௧௦௦௦௦ Thai ๑๐๑๐๐๐๐ Tibetan ༡༠༡༠༠༠༠ Khmer ១០១០០០០ Lao ໑໐໑໐໐໐໐ Burmese ၁၀၁၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010000, here are decompositions:

3 + 1009997 = 1010000
7 + 1009993 = 1010000
37 + 1009963 = 1010000
73 + 1009927 = 1010000
127 + 1009873 = 1010000
157 + 1009843 = 1010000
163 + 1009837 = 1010000
181 + 1009819 = 1010000

Showing the first eight; more decompositions exist.

Hex color

#0F6950

RGB(15, 105, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.80.

Address: 0.15.105.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.80

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 1,010,000 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 US1,010,000 on Google Patents ↗ Look up on USPTO ↗