Live analysis

1,009,400

1,009,400 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.).

1,009,400 (one million nine thousand four hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2³ × 5² × 7² × 103. Its proper divisors sum to 1,747,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF66F8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,009,388 1,009,389 1,009,390 1,009,391 1,009,392 1,009,393 1,009,394 1,009,395 1,009,396 1,009,397 1,009,398 1,009,399 1,009,400 1,009,401 1,009,402 1,009,403 1,009,404 1,009,405 1,009,406 1,009,407 1,009,408 1,009,409 1,009,410 1,009,411 1,009,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 49,001
Recamán's sequence: a(346,651) = 1,009,400
Square (n²): 1,018,888,360,000
Cube (n³): 1,028,465,910,584,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,756,520
φ(n) — Euler's totient: 342,720
Sum of prime factors: 133

Primality

Prime factorization: 2 ³ × 5 ² × 7 ² × 103

Nearest primes: 1,009,399 (−1) · 1,009,417 (+17)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 25 · 28 · 35 · 40 · 49 · 50 · 56 · 70 · 98 · 100 · 103 · 140 · 175 · 196 · 200 · 206 · 245 · 280 · 350 · 392 · 412 · 490 · 515 · 700 · 721 · 824 · 980 · 1030 · 1225 · 1400 · 1442 · 1960 · 2060 · 2450 · 2575 · 2884 · 3605 · 4120 · 4900 · 5047 · 5150 · 5768 · 7210 · 9800 · 10094 · 10300 · 14420 · 18025 · 20188 · 20600 · 25235 · 28840 · 36050 · 40376 · 50470 · 72100 · 100940 · 126175 · 144200 · 201880 · 252350 · 504700 (half) · 1009400

Aliquot sum (sum of proper divisors): 1,747,120

Factor pairs (a × b = 1,009,400)

1 × 1009400

2 × 504700

4 × 252350

5 × 201880

7 × 144200

8 × 126175

10 × 100940

14 × 72100

20 × 50470

25 × 40376

28 × 36050

35 × 28840

40 × 25235

49 × 20600

50 × 20188

56 × 18025

70 × 14420

98 × 10300

100 × 10094

103 × 9800

140 × 7210

175 × 5768

196 × 5150

200 × 5047

206 × 4900

245 × 4120

280 × 3605

350 × 2884

392 × 2575

412 × 2450

490 × 2060

515 × 1960

700 × 1442

721 × 1400

824 × 1225

980 × 1030

First multiples

1,009,400 · 2,018,800 (double) · 3,028,200 · 4,037,600 · 5,047,000 · 6,056,400 · 7,065,800 · 8,075,200 · 9,084,600 · 10,094,000

Sums & aliquot sequence

As consecutive integers: 201,878 + 201,879 + 201,880 + 201,881 + 201,882 144,197 + 144,198 + … + 144,203 63,080 + 63,081 + … + 63,095 40,364 + 40,365 + … + 40,388

Aliquot sequence: 1,009,400 → 1,747,120 → 2,315,120 → 3,200,896 → 3,555,584 → 4,538,656 → 4,396,886 → 2,705,818 → 1,513,958 → 876,562 → 438,284 → 518,644 → 518,700 → 1,425,620 → 2,203,180 → 3,084,788 → 3,353,644 — unresolved within range

Continued fraction of √n

√1,009,400 = [1004; (1, 2, 4, 1, 1, 1, 3, 1, 1, 4, 2, 4, 1, 1, 3, 1, 1, 1, 4, 2, 1, 2008)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand four hundred
Ordinal: 1009400th
Binary: 11110110011011111000
Octal: 3663370
Hexadecimal: 0xF66F8
Base64: D2b4
One's complement: 4,293,957,895 (32-bit)
Scientific notation: 1.0094 × 10⁶
As a duration: 1,009,400 s = 11 days, 16 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 1220021122012

quaternary (4) 3312123320

quinary (5) 224300100

senary (6) 33345052

septenary (7) 11402600

nonary (9) 1807565

undecimal (11) 62a417

duodecimal (12) 408188

tridecimal (13) 2945a2

tetradecimal (14) 1c3c00

pentadecimal (15) 14e135

As an angle

1,009,400° = 2,803 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百萬九千四百
Chinese (financial): 壹佰萬玖仟肆佰

In other modern scripts

Eastern Arabic ١٠٠٩٤٠٠ Devanagari १००९४०० Bengali ১০০৯৪০০ Tamil ௧௦௦௯௪௦௦ Thai ๑๐๐๙๔๐๐ Tibetan ༡༠༠༩༤༠༠ Khmer ១០០៩៤០០ Lao ໑໐໐໙໔໐໐ Burmese ၁၀၀၉၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009400, here are decompositions:

13 + 1009387 = 1009400
31 + 1009369 = 1009400
43 + 1009357 = 1009400
79 + 1009321 = 1009400
97 + 1009303 = 1009400
109 + 1009291 = 1009400
157 + 1009243 = 1009400
163 + 1009237 = 1009400

Showing the first eight; more decompositions exist.

Hex color

#0F66F8

RGB(15, 102, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.248.

Address: 0.15.102.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.102.248

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 1,009,400 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 US1,009,400 on Google Patents ↗ Look up on USPTO ↗