Live analysis

1,050,400

1,050,400 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.).

1,050,400 (one million fifty thousand four hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5² × 13 × 101. Its proper divisors sum to 1,738,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100720.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,050,388 1,050,389 1,050,390 1,050,391 1,050,392 1,050,393 1,050,394 1,050,395 1,050,396 1,050,397 1,050,398 1,050,399 1,050,400 1,050,401 1,050,402 1,050,403 1,050,404 1,050,405 1,050,406 1,050,407 1,050,408 1,050,409 1,050,410 1,050,411 1,050,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 21 bits
Reversed: 40,501
Square (n²): 1,103,340,160,000
Cube (n³): 1,158,948,504,064,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,788,884
φ(n) — Euler's totient: 384,000
Sum of prime factors: 134

Primality

Prime factorization: 2 ⁵ × 5 ² × 13 × 101

Nearest primes: 1,050,391 (−9) · 1,050,421 (+21)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 32 · 40 · 50 · 52 · 65 · 80 · 100 · 101 · 104 · 130 · 160 · 200 · 202 · 208 · 260 · 325 · 400 · 404 · 416 · 505 · 520 · 650 · 800 · 808 · 1010 · 1040 · 1300 · 1313 · 1616 · 2020 · 2080 · 2525 · 2600 · 2626 · 3232 · 4040 · 5050 · 5200 · 5252 · 6565 · 8080 · 10100 · 10400 · 10504 · 13130 · 16160 · 20200 · 21008 · 26260 · 32825 · 40400 · 42016 · 52520 · 65650 · 80800 · 105040 · 131300 · 210080 · 262600 · 525200 (half) · 1050400

Aliquot sum (sum of proper divisors): 1,738,484

Factor pairs (a × b = 1,050,400)

1 × 1050400

2 × 525200

4 × 262600

5 × 210080

8 × 131300

10 × 105040

13 × 80800

16 × 65650

20 × 52520

25 × 42016

26 × 40400

32 × 32825

40 × 26260

50 × 21008

52 × 20200

65 × 16160

80 × 13130

100 × 10504

101 × 10400

104 × 10100

130 × 8080

160 × 6565

200 × 5252

202 × 5200

208 × 5050

260 × 4040

325 × 3232

400 × 2626

404 × 2600

416 × 2525

505 × 2080

520 × 2020

650 × 1616

800 × 1313

808 × 1300

1010 × 1040

First multiples

1,050,400 · 2,100,800 (double) · 3,151,200 · 4,201,600 · 5,252,000 · 6,302,400 · 7,352,800 · 8,403,200 · 9,453,600 · 10,504,000

Sums & aliquot sequence

As a sum of two squares: 100² + 1,020² = 300² + 980² = 348² + 964² = 532² + 876²

As consecutive integers: 210,078 + 210,079 + 210,080 + 210,081 + 210,082 80,794 + 80,795 + … + 80,806 42,004 + 42,005 + … + 42,028 16,381 + 16,382 + … + 16,444

Aliquot sequence: 1,050,400 → 1,738,484 → 1,580,524 → 1,615,844 → 1,357,084 → 1,099,916 → 848,716 → 771,644 → 584,956 → 438,724 → 483,596 → 362,704 → 340,066 → 173,258 → 86,632 → 128,828 → 137,284 — unresolved within range

Continued fraction of √n

√1,050,400 = [1024; (1, 8, 9, 25, 5, 10, 3, 1, 5, 1, 2, 1, 2, 2, 13, 1, 4, 3, 4, 1, 4, 3, 13, 1, …)]

Representations

In words: one million fifty thousand four hundred
Ordinal: 1050400th
Binary: 100000000011100100000
Octal: 4003440
Hexadecimal: 0x100720
Base64: EAcg
One's complement: 4,293,916,895 (32-bit)
Scientific notation: 1.0504 × 10⁶
As a duration: 1,050,400 s = 12 days, 3 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1222100212201

quaternary (4) 10000130200

quinary (5) 232103100

senary (6) 34302544

septenary (7) 11633251

nonary (9) 1870781

undecimal (11) 6581aa

duodecimal (12) 427a54

tridecimal (13) 2aa150

tetradecimal (14) 1d4b28

pentadecimal (15) 15b36a

Palindromic in base 9

As an angle

1,050,400° = 2,917 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Chinese: 一百零五萬零四百
Chinese (financial): 壹佰零伍萬零肆佰

In other modern scripts

Eastern Arabic ١٠٥٠٤٠٠ Devanagari १०५०४०० Bengali ১০৫০৪০০ Tamil ௧௦௫௦௪௦௦ Thai ๑๐๕๐๔๐๐ Tibetan ༡༠༥༠༤༠༠ Khmer ១០៥០៤០០ Lao ໑໐໕໐໔໐໐ Burmese ၁၀၅၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050400, here are decompositions:

83 + 1050317 = 1050400
167 + 1050233 = 1050400
233 + 1050167 = 1050400
317 + 1050083 = 1050400
347 + 1050053 = 1050400
359 + 1050041 = 1050400
389 + 1050011 = 1050400
401 + 1049999 = 1050400

Showing the first eight; more decompositions exist.

Hex color

#100720

RGB(16, 7, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.7.32.

Address: 0.16.7.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.7.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 0400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0400-05-01 (DMMYYYY (Euro, single-digit day))
0400-10-05 (MMDYYYY (US, single-digit day))
0400-05-10 (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 1,050,400 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 US1,050,400 on Google Patents ↗ Look up on USPTO ↗