Live analysis

1,020,400

1,020,400 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.).

1,020,400 (one million twenty thousand four hundred) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 2,551. Its proper divisors sum to 1,432,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF91F0.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,020,388 1,020,389 1,020,390 1,020,391 1,020,392 1,020,393 1,020,394 1,020,395 1,020,396 1,020,397 1,020,398 1,020,399 1,020,400 1,020,401 1,020,402 1,020,403 1,020,404 1,020,405 1,020,406 1,020,407 1,020,408 1,020,409 1,020,410 1,020,411 1,020,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 40,201
Square (n²): 1,041,216,160,000
Cube (n³): 1,062,456,969,664,000,000
Divisor count: 30
σ(n) — sum of divisors: 2,452,472
φ(n) — Euler's totient: 408,000
Sum of prime factors: 2,569

Primality

Prime factorization: 2 ⁴ × 5 ² × 2551

Nearest primes: 1,020,389 (−11) · 1,020,401 (+1)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 400 · 2551 · 5102 · 10204 · 12755 · 20408 · 25510 · 40816 · 51020 · 63775 · 102040 · 127550 · 204080 · 255100 · 510200 (half) · 1020400

Aliquot sum (sum of proper divisors): 1,432,072

Factor pairs (a × b = 1,020,400)

1 × 1020400

2 × 510200

4 × 255100

5 × 204080

8 × 127550

10 × 102040

16 × 63775

20 × 51020

25 × 40816

40 × 25510

50 × 20408

80 × 12755

100 × 10204

200 × 5102

400 × 2551

First multiples

1,020,400 · 2,040,800 (double) · 3,061,200 · 4,081,600 · 5,102,000 · 6,122,400 · 7,142,800 · 8,163,200 · 9,183,600 · 10,204,000

Sums & aliquot sequence

As consecutive integers: 204,078 + 204,079 + 204,080 + 204,081 + 204,082 40,804 + 40,805 + … + 40,828 31,872 + 31,873 + … + 31,903 6,298 + 6,299 + … + 6,457

Aliquot sequence: 1,020,400 → 1,432,072 → 1,450,808 → 1,289,752 → 1,141,688 → 998,992 → 1,004,228 → 753,178 → 376,592 → 353,086 → 186,698 → 95,194 → 60,614 → 30,310 → 32,186 → 31,654 → 29,906 — unresolved within range

Continued fraction of √n

√1,020,400 = [1010; (6, 1, 2, 1, 3, 8, 1, 2, 2, 7, 1, 2, 5, 24, 1, 3, 12, 2, 4, 1, 9, 1, 3, 6, …)]

Representations

In words: one million twenty thousand four hundred
Ordinal: 1020400th
Binary: 11111001000111110000
Octal: 3710760
Hexadecimal: 0xF91F0
Base64: D5Hw
One's complement: 4,293,946,895 (32-bit)
Scientific notation: 1.0204 × 10⁶
As a duration: 1,020,400 s = 11 days, 19 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 1220211201121

quaternary (4) 3321013300

quinary (5) 230123100

senary (6) 33512024

septenary (7) 11446633

nonary (9) 1824647

undecimal (11) 637707

duodecimal (12) 412614

tridecimal (13) 2995b4

tetradecimal (14) 1c7c1a

pentadecimal (15) 15251a

As an angle

1,020,400° = 2,834 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓍢𓍢𓍢𓍢
Chinese: 一百零二萬零四百
Chinese (financial): 壹佰零貳萬零肆佰

In other modern scripts

Eastern Arabic ١٠٢٠٤٠٠ Devanagari १०२०४०० Bengali ১০২০৪০০ Tamil ௧௦௨௦௪௦௦ Thai ๑๐๒๐๔๐๐ Tibetan ༡༠༢༠༤༠༠ Khmer ១០២០៤០០ Lao ໑໐໒໐໔໐໐ Burmese ၁၀၂၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020400, here are decompositions:

11 + 1020389 = 1020400
47 + 1020353 = 1020400
71 + 1020329 = 1020400
107 + 1020293 = 1020400
131 + 1020269 = 1020400
167 + 1020233 = 1020400
257 + 1020143 = 1020400
263 + 1020137 = 1020400

Showing the first eight; more decompositions exist.

Hex color

#0F91F0

RGB(15, 145, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.145.240.

Address: 0.15.145.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.145.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 0400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0400-02-01 (DMMYYYY (Euro, single-digit day))
0400-10-02 (MMDYYYY (US, single-digit day))
0400-02-10 (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 1,020,400 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 US1,020,400 on Google Patents ↗ Look up on USPTO ↗