Live analysis

1,000,400

1,000,400 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.).

1,000,400 (one million four hundred) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 41 × 61. Its proper divisors sum to 1,502,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF43D0.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,388 1,000,389 1,000,390 1,000,391 1,000,392 1,000,393 1,000,394 1,000,395 1,000,396 1,000,397 1,000,398 1,000,399 1,000,400 1,000,401 1,000,402 1,000,403 1,000,404 1,000,405 1,000,406 1,000,407 1,000,408 1,000,409 1,000,410 1,000,411 1,000,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 40,001
Square (n²): 1,000,800,160,000
Cube (n³): 1,001,200,480,064,000,000
Divisor count: 60
σ(n) — sum of divisors: 2,502,444
φ(n) — Euler's totient: 384,000
Sum of prime factors: 120

Primality

Prime factorization: 2 ⁴ × 5 ² × 41 × 61

Nearest primes: 1,000,397 (−3) · 1,000,403 (+3)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 41 · 50 · 61 · 80 · 82 · 100 · 122 · 164 · 200 · 205 · 244 · 305 · 328 · 400 · 410 · 488 · 610 · 656 · 820 · 976 · 1025 · 1220 · 1525 · 1640 · 2050 · 2440 · 2501 · 3050 · 3280 · 4100 · 4880 · 5002 · 6100 · 8200 · 10004 · 12200 · 12505 · 16400 · 20008 · 24400 · 25010 · 40016 · 50020 · 62525 · 100040 · 125050 · 200080 · 250100 · 500200 (half) · 1000400

Aliquot sum (sum of proper divisors): 1,502,044

Factor pairs (a × b = 1,000,400)

1 × 1000400

2 × 500200

4 × 250100

5 × 200080

8 × 125050

10 × 100040

16 × 62525

20 × 50020

25 × 40016

40 × 25010

41 × 24400

50 × 20008

61 × 16400

80 × 12505

82 × 12200

100 × 10004

122 × 8200

164 × 6100

200 × 5002

205 × 4880

244 × 4100

305 × 3280

328 × 3050

400 × 2501

410 × 2440

488 × 2050

610 × 1640

656 × 1525

820 × 1220

976 × 1025

First multiples

1,000,400 · 2,000,800 (double) · 3,001,200 · 4,001,600 · 5,002,000 · 6,002,400 · 7,002,800 · 8,003,200 · 9,003,600 · 10,004,000

Sums & aliquot sequence

As a sum of two squares: 20² + 1,000² = 200² + 980² = 428² + 904² = 584² + 812²

As consecutive integers: 200,078 + 200,079 + 200,080 + 200,081 + 200,082 40,004 + 40,005 + … + 40,028 31,247 + 31,248 + … + 31,278 24,380 + 24,381 + … + 24,420

Aliquot sequence: 1,000,400 → 1,502,044 → 1,126,540 → 1,453,940 → 1,627,180 → 1,789,940 → 2,091,532 → 1,568,656 → 1,470,646 → 740,474 → 539,974 → 269,990 → 345,610 → 354,230 → 283,402 → 218,870 → 185,050 — unresolved within range

Continued fraction of √n

√1,000,400 = [1000; (5, 2000)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million four hundred
Ordinal: 1000400th
Binary: 11110100001111010000
Octal: 3641720
Hexadecimal: 0xF43D0
Base64: D0PQ
One's complement: 4,293,966,895 (32-bit)
Scientific notation: 1.0004 × 10⁶
As a duration: 1,000,400 s = 11 days, 13 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 1212211021212

quaternary (4) 3310033100

quinary (5) 224003100

senary (6) 33235252

septenary (7) 11334422

nonary (9) 1784255

undecimal (11) 623685

duodecimal (12) 402b28

tridecimal (13) 29046b

tetradecimal (14) 1c0812

pentadecimal (15) 14b635

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢
Chinese: 一百萬零四百
Chinese (financial): 壹佰萬零肆佰

In other modern scripts

Eastern Arabic ١٠٠٠٤٠٠ Devanagari १०००४०० Bengali ১০০০৪০০ Tamil ௧௦௦௦௪௦௦ Thai ๑๐๐๐๔๐๐ Tibetan ༡༠༠༠༤༠༠ Khmer ១០០០៤០០ Lao ໑໐໐໐໔໐໐ Burmese ၁၀၀၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000400, here are decompositions:

3 + 1000397 = 1000400
7 + 1000393 = 1000400
19 + 1000381 = 1000400
43 + 1000357 = 1000400
67 + 1000333 = 1000400
97 + 1000303 = 1000400
109 + 1000291 = 1000400
127 + 1000273 = 1000400

Showing the first eight; more decompositions exist.

Hex color

#0F43D0

RGB(15, 67, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.208.

Address: 0.15.67.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.208

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 1,000,400 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 US1,000,400 on Google Patents ↗ Look up on USPTO ↗