Live analysis

1,002,420

1,002,420 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.).

1,002,420 (one million two thousand four hundred twenty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 5,569. Its proper divisors sum to 2,038,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BB4.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,408 1,002,409 1,002,410 1,002,411 1,002,412 1,002,413 1,002,414 1,002,415 1,002,416 1,002,417 1,002,418 1,002,419 1,002,420 1,002,421 1,002,422 1,002,423 1,002,424 1,002,425 1,002,426 1,002,427 1,002,428 1,002,429 1,002,430 1,002,431 1,002,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 242,001
Square (n²): 1,004,845,856,400
Cube (n³): 1,007,277,583,372,488,000
Divisor count: 36
σ(n) — sum of divisors: 3,041,220
φ(n) — Euler's totient: 267,264
Sum of prime factors: 5,584

Primality

Prime factorization: 2 ² × 3 ² × 5 × 5569

Nearest primes: 1,002,403 (−17) · 1,002,427 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 5569 · 11138 · 16707 · 22276 · 27845 · 33414 · 50121 · 55690 · 66828 · 83535 · 100242 · 111380 · 167070 · 200484 · 250605 · 334140 · 501210 (half) · 1002420

Aliquot sum (sum of proper divisors): 2,038,800

Factor pairs (a × b = 1,002,420)

1 × 1002420

2 × 501210

3 × 334140

4 × 250605

5 × 200484

6 × 167070

9 × 111380

10 × 100242

12 × 83535

15 × 66828

18 × 55690

20 × 50121

30 × 33414

36 × 27845

45 × 22276

60 × 16707

90 × 11138

180 × 5569

First multiples

1,002,420 · 2,004,840 (double) · 3,007,260 · 4,009,680 · 5,012,100 · 6,014,520 · 7,016,940 · 8,019,360 · 9,021,780 · 10,024,200

Sums & aliquot sequence

As a sum of two squares: 102² + 996² = 516² + 858²

As consecutive integers: 334,139 + 334,140 + 334,141 200,482 + 200,483 + 200,484 + 200,485 + 200,486 125,299 + 125,300 + … + 125,306 111,376 + 111,377 + … + 111,384

Aliquot sequence: 1,002,420 → 2,038,800 → 4,496,000 → 6,721,960 → 10,563,800 → 17,559,400 → 23,266,670 → 26,030,578 → 18,593,294 → 10,050,034 → 5,680,526 → 2,840,266 → 2,165,462 → 1,428,730 → 1,143,002 → 920,038 → 657,194 — unresolved within range

Continued fraction of √n

√1,002,420 = [1001; (4, 1, 3, 1, 1, 15, 1, 1, 2, 3, 1, 3, 3, 1, 3, 1, 1, 4, 2, 124, 1, 2, 2, 1, …)]

Representations

In words: one million two thousand four hundred twenty
Ordinal: 1002420th
Binary: 11110100101110110100
Octal: 3645664
Hexadecimal: 0xF4BB4
Base64: D0u0
One's complement: 4,293,964,875 (32-bit)
Scientific notation: 1.00242 × 10⁶
As a duration: 1,002,420 s = 11 days, 14 hours, 27 minutes

In other bases

ternary (3) 1212221001200

quaternary (4) 3310232310

quinary (5) 224034140

senary (6) 33252500

septenary (7) 11343336

nonary (9) 1787050

undecimal (11) 625151

duodecimal (12) 404130

tridecimal (13) 291363

tetradecimal (14) 1c1456

pentadecimal (15) 14c030

As an angle

1,002,420° = 2,784 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬二千四百二十
Chinese (financial): 壹佰萬貳仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٤٢٠ Devanagari १००२४२० Bengali ১০০২৪২০ Tamil ௧௦௦௨௪௨௦ Thai ๑๐๐๒๔๒๐ Tibetan ༡༠༠༢༤༢༠ Khmer ១០០២៤២០ Lao ໑໐໐໒໔໒໐ Burmese ၁၀၀၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002420, here are decompositions:

17 + 1002403 = 1002420
43 + 1002377 = 1002420
59 + 1002361 = 1002420
61 + 1002359 = 1002420
71 + 1002349 = 1002420
73 + 1002347 = 1002420
79 + 1002341 = 1002420
131 + 1002289 = 1002420

Showing the first eight; more decompositions exist.

Hex color

#0F4BB4

RGB(15, 75, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.180.

Address: 0.15.75.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.180

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 1,002,420 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 US1,002,420 on Google Patents ↗ Look up on USPTO ↗