Live analysis

1,024,020

1,024,020 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.).

1,024,020 (one million twenty-four thousand twenty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 5,689. Its proper divisors sum to 2,082,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA014.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,024,008 1,024,009 1,024,010 1,024,011 1,024,012 1,024,013 1,024,014 1,024,015 1,024,016 1,024,017 1,024,018 1,024,019 1,024,020 1,024,021 1,024,022 1,024,023 1,024,024 1,024,025 1,024,026 1,024,027 1,024,028 1,024,029 1,024,030 1,024,031 1,024,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 204,201
Square (n²): 1,048,616,960,400
Cube (n³): 1,073,804,739,788,808,000
Divisor count: 36
σ(n) — sum of divisors: 3,106,740
φ(n) — Euler's totient: 273,024
Sum of prime factors: 5,704

Primality

Prime factorization: 2 ² × 3 ² × 5 × 5689

Nearest primes: 1,023,991 (−29) · 1,024,021 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 5689 · 11378 · 17067 · 22756 · 28445 · 34134 · 51201 · 56890 · 68268 · 85335 · 102402 · 113780 · 170670 · 204804 · 256005 · 341340 · 512010 (half) · 1024020

Aliquot sum (sum of proper divisors): 2,082,720

Factor pairs (a × b = 1,024,020)

1 × 1024020

2 × 512010

3 × 341340

4 × 256005

5 × 204804

6 × 170670

9 × 113780

10 × 102402

12 × 85335

15 × 68268

18 × 56890

20 × 51201

30 × 34134

36 × 28445

45 × 22756

60 × 17067

90 × 11378

180 × 5689

First multiples

1,024,020 · 2,048,040 (double) · 3,072,060 · 4,096,080 · 5,120,100 · 6,144,120 · 7,168,140 · 8,192,160 · 9,216,180 · 10,240,200

Sums & aliquot sequence

As a sum of two squares: 354² + 948² = 546² + 852²

As consecutive integers: 341,339 + 341,340 + 341,341 204,802 + 204,803 + 204,804 + 204,805 + 204,806 127,999 + 128,000 + … + 128,006 113,776 + 113,777 + … + 113,784

Aliquot sequence: 1,024,020 → 2,082,720 → 4,479,360 → 9,804,720 → 20,590,656 → 33,889,296 → 72,701,104 → 94,725,680 → 170,971,600 → 239,788,630 → 192,057,434 → 111,191,206 → 83,856,218 → 42,034,630 → 43,358,810 → 42,149,542 → 21,321,554 — unresolved within range

Continued fraction of √n

√1,024,020 = [1011; (1, 15, 3, 9, 1, 1, 4, 1, 13, 4, 4, 8, 1, 1, 1, 1, 16, 2, 2, 13, 1, 1, 1, 7, …)]

Representations

In words: one million twenty-four thousand twenty
Ordinal: 1024020th
Binary: 11111010000000010100
Octal: 3720024
Hexadecimal: 0xFA014
Base64: D6AU
One's complement: 4,293,943,275 (32-bit)
Scientific notation: 1.02402 × 10⁶
As a duration: 1,024,020 s = 11 days, 20 hours, 27 minutes

In other bases

ternary (3) 1221000200200

quaternary (4) 3322000110

quinary (5) 230232040

senary (6) 33540500

septenary (7) 11463324

nonary (9) 1830620

undecimal (11) 63a3a8

duodecimal (12) 414730

tridecimal (13) 29b13a

tetradecimal (14) 1c9284

pentadecimal (15) 153630

As an angle

1,024,020° = 2,844 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百零二萬四千零二十
Chinese (financial): 壹佰零貳萬肆仟零貳拾

In other modern scripts

Eastern Arabic ١٠٢٤٠٢٠ Devanagari १०२४०२० Bengali ১০২৪০২০ Tamil ௧௦௨௪௦௨௦ Thai ๑๐๒๔๐๒๐ Tibetan ༡༠༢༤༠༢༠ Khmer ១០២៤០២០ Lao ໑໐໒໔໐໒໐ Burmese ၁၀၂၄၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024020, here are decompositions:

29 + 1023991 = 1024020
43 + 1023977 = 1024020
47 + 1023973 = 1024020
71 + 1023949 = 1024020
73 + 1023947 = 1024020
79 + 1023941 = 1024020
149 + 1023871 = 1024020
163 + 1023857 = 1024020

Showing the first eight; more decompositions exist.

Hex color

#0FA014

RGB(15, 160, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.20.

Address: 0.15.160.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.20

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 4020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4020-02-01 (DMMYYYY (Euro, single-digit day))
4020-10-02 (MMDYYYY (US, single-digit day))
4020-02-10 (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 1,024,020 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 US1,024,020 on Google Patents ↗ Look up on USPTO ↗