Live analysis

1,010,400

1,010,400 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.).

1,010,400 (one million ten thousand four hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3 × 5² × 421. Its proper divisors sum to 2,286,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6AE0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,010,388 1,010,389 1,010,390 1,010,391 1,010,392 1,010,393 1,010,394 1,010,395 1,010,396 1,010,397 1,010,398 1,010,399 1,010,400 1,010,401 1,010,402 1,010,403 1,010,404 1,010,405 1,010,406 1,010,407 1,010,408 1,010,409 1,010,410 1,010,411 1,010,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 40,101
Square (n²): 1,020,908,160,000
Cube (n³): 1,031,525,604,864,000,000
Divisor count: 72
σ(n) — sum of divisors: 3,296,664
φ(n) — Euler's totient: 268,800
Sum of prime factors: 444

Primality

Prime factorization: 2 ⁵ × 3 × 5 ² × 421

Nearest primes: 1,010,381 (−19) · 1,010,407 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 75 · 80 · 96 · 100 · 120 · 150 · 160 · 200 · 240 · 300 · 400 · 421 · 480 · 600 · 800 · 842 · 1200 · 1263 · 1684 · 2105 · 2400 · 2526 · 3368 · 4210 · 5052 · 6315 · 6736 · 8420 · 10104 · 10525 · 12630 · 13472 · 16840 · 20208 · 21050 · 25260 · 31575 · 33680 · 40416 · 42100 · 50520 · 63150 · 67360 · 84200 · 101040 · 126300 · 168400 · 202080 · 252600 · 336800 · 505200 (half) · 1010400

Aliquot sum (sum of proper divisors): 2,286,264

Factor pairs (a × b = 1,010,400)

1 × 1010400

2 × 505200

3 × 336800

4 × 252600

5 × 202080

6 × 168400

8 × 126300

10 × 101040

12 × 84200

15 × 67360

16 × 63150

20 × 50520

24 × 42100

25 × 40416

30 × 33680

32 × 31575

40 × 25260

48 × 21050

50 × 20208

60 × 16840

75 × 13472

80 × 12630

96 × 10525

100 × 10104

120 × 8420

150 × 6736

160 × 6315

200 × 5052

240 × 4210

300 × 3368

400 × 2526

421 × 2400

480 × 2105

600 × 1684

800 × 1263

842 × 1200

First multiples

1,010,400 · 2,020,800 (double) · 3,031,200 · 4,041,600 · 5,052,000 · 6,062,400 · 7,072,800 · 8,083,200 · 9,093,600 · 10,104,000

Sums & aliquot sequence

As consecutive integers: 336,799 + 336,800 + 336,801 202,078 + 202,079 + 202,080 + 202,081 + 202,082 67,353 + 67,354 + … + 67,367 40,404 + 40,405 + … + 40,428

Aliquot sequence: 1,010,400 → 2,286,264 → 3,429,456 → 5,674,128 → 8,984,160 → 23,566,176 → 44,915,328 → 85,775,232 → 143,847,168 → 241,757,520 → 547,150,320 → 1,304,708,832 → 2,955,768,480 → 8,694,421,344 → 19,627,280,064 — keeps growing

Continued fraction of √n

√1,010,400 = [1005; (5, 2, 1, 3, 2, 2, 1, 3, 2, 7, 1, 9, 8, 3, 4, 1, 1, 19, 1, 1, 4, 3, 8, 9, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand four hundred
Ordinal: 1010400th
Binary: 11110110101011100000
Octal: 3665340
Hexadecimal: 0xF6AE0
Base64: D2rg
One's complement: 4,293,956,895 (32-bit)
Scientific notation: 1.0104 × 10⁶
As a duration: 1,010,400 s = 11 days, 16 hours, 40 minutes

In other bases

ternary (3) 1220100000020

quaternary (4) 3312223200

quinary (5) 224313100

senary (6) 33353440

septenary (7) 11405526

nonary (9) 1810006

undecimal (11) 630146

duodecimal (12) 408880

tridecimal (13) 294b91

tetradecimal (14) 1c4316

pentadecimal (15) 14e5a0

As an angle

1,010,400° = 2,806 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢
Chinese: 一百零一萬零四百
Chinese (financial): 壹佰零壹萬零肆佰

In other modern scripts

Eastern Arabic ١٠١٠٤٠٠ Devanagari १०१०४०० Bengali ১০১০৪০০ Tamil ௧௦௧௦௪௦௦ Thai ๑๐๑๐๔๐๐ Tibetan ༡༠༡༠༤༠༠ Khmer ១០១០៤០០ Lao ໑໐໑໐໔໐໐ Burmese ၁၀၁၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010400, here are decompositions:

19 + 1010381 = 1010400
43 + 1010357 = 1010400
47 + 1010353 = 1010400
71 + 1010329 = 1010400
103 + 1010297 = 1010400
109 + 1010291 = 1010400
137 + 1010263 = 1010400
163 + 1010237 = 1010400

Showing the first eight; more decompositions exist.

Hex color

#0F6AE0

RGB(15, 106, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.224.

Address: 0.15.106.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.106.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 0400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0400-10-01 (MMDYYYY (US, single-digit day))
0400-01-10 (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 1,010,400 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 US1,010,400 on Google Patents ↗ Look up on USPTO ↗