Live analysis

1,020,024

1,020,024 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.).

1,020,024 (one million twenty thousand twenty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 31 × 457. Its proper divisors sum to 1,837,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9078.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,020,012 1,020,013 1,020,014 1,020,015 1,020,016 1,020,017 1,020,018 1,020,019 1,020,020 1,020,021 1,020,022 1,020,023 1,020,024 1,020,025 1,020,026 1,020,027 1,020,028 1,020,029 1,020,030 1,020,031 1,020,032 1,020,033 1,020,034 1,020,035 1,020,036

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,200,201
Square (n²): 1,040,448,960,576
Cube (n³): 1,061,282,910,562,573,824
Divisor count: 48
σ(n) — sum of divisors: 2,857,920
φ(n) — Euler's totient: 328,320
Sum of prime factors: 500

Primality

Prime factorization: 2 ³ × 3 ² × 31 × 457

Nearest primes: 1,020,023 (−1) · 1,020,037 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 31 · 36 · 62 · 72 · 93 · 124 · 186 · 248 · 279 · 372 · 457 · 558 · 744 · 914 · 1116 · 1371 · 1828 · 2232 · 2742 · 3656 · 4113 · 5484 · 8226 · 10968 · 14167 · 16452 · 28334 · 32904 · 42501 · 56668 · 85002 · 113336 · 127503 · 170004 · 255006 · 340008 · 510012 (half) · 1020024

Aliquot sum (sum of proper divisors): 1,837,896

Factor pairs (a × b = 1,020,024)

1 × 1020024

2 × 510012

3 × 340008

4 × 255006

6 × 170004

8 × 127503

9 × 113336

12 × 85002

18 × 56668

24 × 42501

31 × 32904

36 × 28334

62 × 16452

72 × 14167

93 × 10968

124 × 8226

186 × 5484

248 × 4113

279 × 3656

372 × 2742

457 × 2232

558 × 1828

744 × 1371

914 × 1116

First multiples

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

Sums & aliquot sequence

As consecutive integers: 340,007 + 340,008 + 340,009 113,332 + 113,333 + … + 113,340 63,744 + 63,745 + … + 63,759 32,889 + 32,890 + … + 32,919

Aliquot sequence: 1,020,024 → 1,837,896 → 2,756,904 → 4,176,216 → 8,164,944 → 14,685,962 → 7,855,414 → 5,611,034 → 4,718,950 → 4,058,390 → 4,290,442 → 2,789,750 → 2,433,130 → 2,572,310 → 2,532,202 → 1,266,104 → 1,567,816 — unresolved within range

Continued fraction of √n

√1,020,024 = [1009; (1, 25, 1, 1, 2, 1, 2, 5, 4, 2, 2, 8, 1, 1, 3, 7, 3, 1, 16, 1, 1, 1, 8, 1, …)]

Representations

In words: one million twenty thousand twenty-four
Ordinal: 1020024th
Binary: 11111001000001111000
Octal: 3710170
Hexadecimal: 0xF9078
Base64: D5B4
One's complement: 4,293,947,271 (32-bit)
Scientific notation: 1.020024 × 10⁶
As a duration: 1,020,024 s = 11 days, 19 hours, 20 minutes, 24 seconds

In other bases

ternary (3) 1220211012200

quaternary (4) 3321001320

quinary (5) 230120044

senary (6) 33510200

septenary (7) 11445555

nonary (9) 1824180

undecimal (11) 6373a5

duodecimal (12) 412360

tridecimal (13) 299385

tetradecimal (14) 1c7a2c

pentadecimal (15) 152369

As an angle

1,020,024° = 2,833 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零二萬零二十四
Chinese (financial): 壹佰零貳萬零貳拾肆

In other modern scripts

Eastern Arabic ١٠٢٠٠٢٤ Devanagari १०२००२४ Bengali ১০২০০২৪ Tamil ௧௦௨௦௦௨௪ Thai ๑๐๒๐๐๒๔ Tibetan ༡༠༢༠༠༢༤ Khmer ១០២០០២៤ Lao ໑໐໒໐໐໒໔ Burmese ၁၀၂၀၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020024, here are decompositions:

11 + 1020013 = 1020024
13 + 1020011 = 1020024
17 + 1020007 = 1020024
23 + 1020001 = 1020024
53 + 1019971 = 1020024
97 + 1019927 = 1020024
151 + 1019873 = 1020024
163 + 1019861 = 1020024

Showing the first eight; more decompositions exist.

Hex color

#0F9078

RGB(15, 144, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.120.

Address: 0.15.144.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 0024 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0024-02-01 (DMMYYYY (Euro, single-digit day))
0024-10-02 (MMDYYYY (US, single-digit day))
0024-02-10 (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 1,020,024 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 US1,020,024 on Google Patents ↗ Look up on USPTO ↗