Live analysis

1,022,420

1,022,420 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.).

1,022,420 (one million twenty-two thousand four hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 67 × 109. Its proper divisors sum to 1,490,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF99D4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,022,408 1,022,409 1,022,410 1,022,411 1,022,412 1,022,413 1,022,414 1,022,415 1,022,416 1,022,417 1,022,418 1,022,419 1,022,420 1,022,421 1,022,422 1,022,423 1,022,424 1,022,425 1,022,426 1,022,427 1,022,428 1,022,429 1,022,430 1,022,431 1,022,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 242,201
Recamán's sequence: a(371,487) = 1,022,420
Square (n²): 1,045,342,656,400
Cube (n³): 1,068,779,238,756,488,000
Divisor count: 48
σ(n) — sum of divisors: 2,513,280
φ(n) — Euler's totient: 342,144
Sum of prime factors: 192

Primality

Prime factorization: 2 ² × 5 × 7 × 67 × 109

Nearest primes: 1,022,389 (−31) · 1,022,429 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 67 · 70 · 109 · 134 · 140 · 218 · 268 · 335 · 436 · 469 · 545 · 670 · 763 · 938 · 1090 · 1340 · 1526 · 1876 · 2180 · 2345 · 3052 · 3815 · 4690 · 7303 · 7630 · 9380 · 14606 · 15260 · 29212 · 36515 · 51121 · 73030 · 102242 · 146060 · 204484 · 255605 · 511210 (half) · 1022420

Aliquot sum (sum of proper divisors): 1,490,860

Factor pairs (a × b = 1,022,420)

1 × 1022420

2 × 511210

4 × 255605

5 × 204484

7 × 146060

10 × 102242

14 × 73030

20 × 51121

28 × 36515

35 × 29212

67 × 15260

70 × 14606

109 × 9380

134 × 7630

140 × 7303

218 × 4690

268 × 3815

335 × 3052

436 × 2345

469 × 2180

545 × 1876

670 × 1526

763 × 1340

938 × 1090

First multiples

1,022,420 · 2,044,840 (double) · 3,067,260 · 4,089,680 · 5,112,100 · 6,134,520 · 7,156,940 · 8,179,360 · 9,201,780 · 10,224,200

Sums & aliquot sequence

As consecutive integers: 204,482 + 204,483 + 204,484 + 204,485 + 204,486 146,057 + 146,058 + … + 146,063 127,799 + 127,800 + … + 127,806 29,195 + 29,196 + … + 29,229

Aliquot sequence: 1,022,420 → 1,490,860 → 2,250,836 → 2,250,892 → 2,488,948 → 2,942,156 → 3,406,732 → 3,848,292 → 7,269,724 → 8,592,164 → 8,960,476 → 9,904,804 → 11,429,404 → 11,723,236 → 12,057,500 → 21,006,916 → 21,398,524 — unresolved within range

Continued fraction of √n

√1,022,420 = [1011; (6, 1, 3, 4, 1, 1, 5, 6, 1, 15, 1, 5, 1, 3, 1, 1, 100, 1, 1, 3, 1, 5, 1, 15, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one million twenty-two thousand four hundred twenty
Ordinal: 1022420th
Binary: 11111001100111010100
Octal: 3714724
Hexadecimal: 0xF99D4
Base64: D5nU
One's complement: 4,293,944,875 (32-bit)
Scientific notation: 1.02242 × 10⁶
As a duration: 1,022,420 s = 11 days, 20 hours, 20 seconds

In other bases

ternary (3) 1220221111102

quaternary (4) 3321213110

quinary (5) 230204140

senary (6) 33525232

septenary (7) 11455550

nonary (9) 1827442

undecimal (11) 639183

duodecimal (12) 413818

tridecimal (13) 29a4a9

tetradecimal (14) 1c8860

pentadecimal (15) 152e15

As an angle

1,022,420° = 2,840 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零二萬二千四百二十
Chinese (financial): 壹佰零貳萬貳仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٢٢٤٢٠ Devanagari १०२२४२० Bengali ১০২২৪২০ Tamil ௧௦௨௨௪௨௦ Thai ๑๐๒๒๔๒๐ Tibetan ༡༠༢༢༤༢༠ Khmer ១០២២៤២០ Lao ໑໐໒໒໔໒໐ Burmese ၁၀၂၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022420, here are decompositions:

31 + 1022389 = 1022420
37 + 1022383 = 1022420
43 + 1022377 = 1022420
79 + 1022341 = 1022420
211 + 1022209 = 1022420
229 + 1022191 = 1022420
241 + 1022179 = 1022420
283 + 1022137 = 1022420

Showing the first eight; more decompositions exist.

Hex color

#0F99D4

RGB(15, 153, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.153.212.

Address: 0.15.153.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.153.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 2420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2420-02-01 (DMMYYYY (Euro, single-digit day))
2420-10-02 (MMDYYYY (US, single-digit day))
2420-02-10 (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 1,022,420 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,022,420 on Google Patents ↗ Look up on USPTO ↗