Live analysis

1,006,420

1,006,420 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.).

1,006,420 (one million six thousand four hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,321. Its proper divisors sum to 1,107,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B54.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,408 1,006,409 1,006,410 1,006,411 1,006,412 1,006,413 1,006,414 1,006,415 1,006,416 1,006,417 1,006,418 1,006,419 1,006,420 1,006,421 1,006,422 1,006,423 1,006,424 1,006,425 1,006,426 1,006,427 1,006,428 1,006,429 1,006,430 1,006,431 1,006,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 246,001
Square (n²): 1,012,881,216,400
Cube (n³): 1,019,383,913,809,288,000
Divisor count: 12
σ(n) — sum of divisors: 2,113,524
φ(n) — Euler's totient: 402,560
Sum of prime factors: 50,330

Primality

Prime factorization: 2 ² × 5 × 50321

Nearest primes: 1,006,393 (−27) · 1,006,433 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50321 · 100642 · 201284 · 251605 · 503210 (half) · 1006420

Aliquot sum (sum of proper divisors): 1,107,104

Factor pairs (a × b = 1,006,420)

1 × 1006420

2 × 503210

4 × 251605

5 × 201284

10 × 100642

20 × 50321

First multiples

1,006,420 · 2,012,840 (double) · 3,019,260 · 4,025,680 · 5,032,100 · 6,038,520 · 7,044,940 · 8,051,360 · 9,057,780 · 10,064,200

Sums & aliquot sequence

As a sum of two squares: 174² + 988² = 686² + 732²

As consecutive integers: 201,282 + 201,283 + 201,284 + 201,285 + 201,286 125,799 + 125,800 + … + 125,806 25,141 + 25,142 + … + 25,180

Aliquot sequence: 1,006,420 → 1,107,104 → 1,149,556 → 896,684 → 672,520 → 1,038,200 → 1,472,800 → 2,651,936 → 3,315,424 → 4,749,584 → 5,767,600 → 8,090,020 → 10,094,300 → 11,810,548 → 9,416,784 → 16,782,928 → 17,446,032 — unresolved within range

Continued fraction of √n

√1,006,420 = [1003; (4, 1, 7, 2, 2, 1, 2, 1, 13, 4, 1, 13, 2, 2, 1, 12, 6, 1, 2, 1, 1, 1, 1, 5, …)]

Representations

In words: one million six thousand four hundred twenty
Ordinal: 1006420th
Binary: 11110101101101010100
Octal: 3655524
Hexadecimal: 0xF5B54
Base64: D1tU
One's complement: 4,293,960,875 (32-bit)
Scientific notation: 1.00642 × 10⁶
As a duration: 1,006,420 s = 11 days, 15 hours, 33 minutes, 40 seconds

In other bases

ternary (3) 1220010112211

quaternary (4) 3311231110

quinary (5) 224201140

senary (6) 33323204

septenary (7) 11361112

nonary (9) 1803484

undecimal (11) 628158

duodecimal (12) 406504

tridecimal (13) 29311c

tetradecimal (14) 1c2ab2

pentadecimal (15) 14d2ea

As an angle

1,006,420° = 2,795 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬六千四百二十
Chinese (financial): 壹佰萬陸仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٦٤٢٠ Devanagari १००६४२० Bengali ১০০৬৪২০ Tamil ௧௦௦௬௪௨௦ Thai ๑๐๐๖๔๒๐ Tibetan ༡༠༠༦༤༢༠ Khmer ១០០៦៤២០ Lao ໑໐໐໖໔໒໐ Burmese ၁၀၀၆၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006420, here are decompositions:

29 + 1006391 = 1006420
53 + 1006367 = 1006420
59 + 1006361 = 1006420
83 + 1006337 = 1006420
89 + 1006331 = 1006420
113 + 1006307 = 1006420
167 + 1006253 = 1006420
179 + 1006241 = 1006420

Showing the first eight; more decompositions exist.

Hex color

#0F5B54

RGB(15, 91, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.84.

Address: 0.15.91.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.84

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 1,006,420 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 US1,006,420 on Google Patents ↗ Look up on USPTO ↗