Live analysis

1,008,420

1,008,420 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.).

1,008,420 (one million eight thousand four hundred twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 7⁵. Its proper divisors sum to 2,285,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6324.

Abundant Number Arithmetic Number Evil Number Frugal Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,008,408 1,008,409 1,008,410 1,008,411 1,008,412 1,008,413 1,008,414 1,008,415 1,008,416 1,008,417 1,008,418 1,008,419 1,008,420 1,008,421 1,008,422 1,008,423 1,008,424 1,008,425 1,008,426 1,008,427 1,008,428 1,008,429 1,008,430 1,008,431 1,008,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 248,001
Recamán's sequence: a(348,611) = 1,008,420
Square (n²): 1,016,910,896,400
Cube (n³): 1,025,473,286,147,688,000
Divisor count: 72
σ(n) — sum of divisors: 3,294,144
φ(n) — Euler's totient: 230,496
Sum of prime factors: 47

Primality

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

Nearest primes: 1,008,419 (−1) · 1,008,421 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 49 · 60 · 70 · 84 · 98 · 105 · 140 · 147 · 196 · 210 · 245 · 294 · 343 · 420 · 490 · 588 · 686 · 735 · 980 · 1029 · 1372 · 1470 · 1715 · 2058 · 2401 · 2940 · 3430 · 4116 · 4802 · 5145 · 6860 · 7203 · 9604 · 10290 · 12005 · 14406 · 16807 · 20580 · 24010 · 28812 · 33614 · 36015 · 48020 · 50421 · 67228 · 72030 · 84035 · 100842 · 144060 · 168070 · 201684 · 252105 · 336140 · 504210 (half) · 1008420

Aliquot sum (sum of proper divisors): 2,285,724

Factor pairs (a × b = 1,008,420)

1 × 1008420

2 × 504210

3 × 336140

4 × 252105

5 × 201684

6 × 168070

7 × 144060

10 × 100842

12 × 84035

14 × 72030

15 × 67228

20 × 50421

21 × 48020

28 × 36015

30 × 33614

35 × 28812

42 × 24010

49 × 20580

60 × 16807

70 × 14406

84 × 12005

98 × 10290

105 × 9604

140 × 7203

147 × 6860

196 × 5145

210 × 4802

245 × 4116

294 × 3430

343 × 2940

420 × 2401

490 × 2058

588 × 1715

686 × 1470

735 × 1372

980 × 1029

First multiples

1,008,420 · 2,016,840 (double) · 3,025,260 · 4,033,680 · 5,042,100 · 6,050,520 · 7,058,940 · 8,067,360 · 9,075,780 · 10,084,200

Sums & aliquot sequence

As consecutive integers: 336,139 + 336,140 + 336,141 201,682 + 201,683 + 201,684 + 201,685 + 201,686 144,057 + 144,058 + … + 144,063 126,049 + 126,050 + … + 126,056

Aliquot sequence: 1,008,420 → 2,285,724 → 3,809,764 → 3,889,564 → 4,039,364 → 4,421,032 → 5,915,288 → 5,206,792 → 4,580,168 → 4,007,662 → 2,012,330 → 1,609,882 → 804,944 → 977,680 → 1,545,596 → 1,367,356 → 1,025,524 — unresolved within range

Continued fraction of √n

√1,008,420 = [1004; (4, 1, 33, 4, 6, 2, 7, 1, 1, 5, 1, 30, 1, 1, 6, 1, 3, 3, 15, 40, 1, 11, 1, 8, …)]

Representations

In words: one million eight thousand four hundred twenty
Ordinal: 1008420th
Binary: 11110110001100100100
Octal: 3661444
Hexadecimal: 0xF6324
Base64: D2Mk
One's complement: 4,293,958,875 (32-bit)
Scientific notation: 1.00842 × 10⁶
As a duration: 1,008,420 s = 11 days, 16 hours, 7 minutes

In other bases

ternary (3) 1220020021220

quaternary (4) 3312030210

quinary (5) 224232140

senary (6) 33340340

septenary (7) 11400000

nonary (9) 1806256

undecimal (11) 629706

duodecimal (12) 4076b0

tridecimal (13) 293cca

tetradecimal (14) 1c3700

pentadecimal (15) 14dbd0

As an angle

1,008,420° = 2,801 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬八千四百二十
Chinese (financial): 壹佰萬捌仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٨٤٢٠ Devanagari १००८४२० Bengali ১০০৮৪২০ Tamil ௧௦௦௮௪௨௦ Thai ๑๐๐๘๔๒๐ Tibetan ༡༠༠༨༤༢༠ Khmer ១០០៨៤២០ Lao ໑໐໐໘໔໒໐ Burmese ၁၀၀၈၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008420, here are decompositions:

11 + 1008409 = 1008420
13 + 1008407 = 1008420
19 + 1008401 = 1008420
41 + 1008379 = 1008420
47 + 1008373 = 1008420
67 + 1008353 = 1008420
73 + 1008347 = 1008420
89 + 1008331 = 1008420

Showing the first eight; more decompositions exist.

Hex color

#0F6324

RGB(15, 99, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.99.36.

Address: 0.15.99.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.99.36

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 1,008,420 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 US1,008,420 on Google Patents ↗ Look up on USPTO ↗