Live analysis

1,000,420

1,000,420 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.).

1,000,420 (one million four hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,021. Its proper divisors sum to 1,100,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF43E4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,408 1,000,409 1,000,410 1,000,411 1,000,412 1,000,413 1,000,414 1,000,415 1,000,416 1,000,417 1,000,418 1,000,419 1,000,420 1,000,421 1,000,422 1,000,423 1,000,424 1,000,425 1,000,426 1,000,427 1,000,428 1,000,429 1,000,430 1,000,431 1,000,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 240,001
Square (n²): 1,000,840,176,400
Cube (n³): 1,001,260,529,274,088,000
Divisor count: 12
σ(n) — sum of divisors: 2,100,924
φ(n) — Euler's totient: 400,160
Sum of prime factors: 50,030

Primality

Prime factorization: 2 ² × 5 × 50021

Nearest primes: 1,000,409 (−11) · 1,000,423 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50021 · 100042 · 200084 · 250105 · 500210 (half) · 1000420

Aliquot sum (sum of proper divisors): 1,100,504

Factor pairs (a × b = 1,000,420)

1 × 1000420

2 × 500210

4 × 250105

5 × 200084

10 × 100042

20 × 50021

First multiples

1,000,420 · 2,000,840 (double) · 3,001,260 · 4,001,680 · 5,002,100 · 6,002,520 · 7,002,940 · 8,003,360 · 9,003,780 · 10,004,200

Sums & aliquot sequence

As a sum of two squares: 168² + 986² = 688² + 726²

As consecutive integers: 200,082 + 200,083 + 200,084 + 200,085 + 200,086 125,049 + 125,050 + … + 125,056 24,991 + 24,992 + … + 25,030

Aliquot sequence: 1,000,420 → 1,100,504 → 1,053,016 → 921,404 → 882,244 → 802,124 → 677,284 → 507,970 → 419,390 → 380,242 → 190,124 → 187,876 → 166,296 → 294,864 → 466,992 → 961,488 → 1,978,800 — unresolved within range

Continued fraction of √n

√1,000,420 = [1000; (4, 1, 3, 4, 1, 3, 1, 2, 1, 1, 1, 6, 2, 2, 3, 1, 20, 15, 2, 5, 1, 1, 2, 10, …)]

Representations

In words: one million four hundred twenty
Ordinal: 1000420th
Binary: 11110100001111100100
Octal: 3641744
Hexadecimal: 0xF43E4
Base64: D0Pk
One's complement: 4,293,966,875 (32-bit)
Scientific notation: 1.00042 × 10⁶
As a duration: 1,000,420 s = 11 days, 13 hours, 53 minutes, 40 seconds

In other bases

ternary (3) 1212211022121

quaternary (4) 3310033210

quinary (5) 224003140

senary (6) 33235324

septenary (7) 11334451

nonary (9) 1784277

undecimal (11) 6236a3

duodecimal (12) 402b44

tridecimal (13) 290485

tetradecimal (14) 1c0828

pentadecimal (15) 14b64a

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬零四百二十
Chinese (financial): 壹佰萬零肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٠٤٢٠ Devanagari १०००४२० Bengali ১০০০৪২০ Tamil ௧௦௦௦௪௨௦ Thai ๑๐๐๐๔๒๐ Tibetan ༡༠༠༠༤༢༠ Khmer ១០០០៤២០ Lao ໑໐໐໐໔໒໐ Burmese ၁၀၀၀၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000420, here are decompositions:

11 + 1000409 = 1000420
17 + 1000403 = 1000420
23 + 1000397 = 1000420
53 + 1000367 = 1000420
107 + 1000313 = 1000420
131 + 1000289 = 1000420
167 + 1000253 = 1000420
227 + 1000193 = 1000420

Showing the first eight; more decompositions exist.

Hex color

#0F43E4

RGB(15, 67, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.228.

Address: 0.15.67.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.228

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 1,000,420 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 US1,000,420 on Google Patents ↗ Look up on USPTO ↗