Live analysis

1,024,240

1,024,240 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.).

1,024,240 (one million twenty-four thousand two hundred forty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 7 × 31 × 59. Its proper divisors sum to 1,832,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA0F0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,024,228 1,024,229 1,024,230 1,024,231 1,024,232 1,024,233 1,024,234 1,024,235 1,024,236 1,024,237 1,024,238 1,024,239 1,024,240 1,024,241 1,024,242 1,024,243 1,024,244 1,024,245 1,024,246 1,024,247 1,024,248 1,024,249 1,024,250 1,024,251 1,024,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 424,201
Square (n²): 1,049,067,577,600
Cube (n³): 1,074,496,975,681,024,000
Divisor count: 80
σ(n) — sum of divisors: 2,856,960
φ(n) — Euler's totient: 334,080
Sum of prime factors: 110

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 31 × 59

Nearest primes: 1,024,207 (−33) · 1,024,249 (+9)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 31 · 35 · 40 · 56 · 59 · 62 · 70 · 80 · 112 · 118 · 124 · 140 · 155 · 217 · 236 · 248 · 280 · 295 · 310 · 413 · 434 · 472 · 496 · 560 · 590 · 620 · 826 · 868 · 944 · 1085 · 1180 · 1240 · 1652 · 1736 · 1829 · 2065 · 2170 · 2360 · 2480 · 3304 · 3472 · 3658 · 4130 · 4340 · 4720 · 6608 · 7316 · 8260 · 8680 · 9145 · 12803 · 14632 · 16520 · 17360 · 18290 · 25606 · 29264 · 33040 · 36580 · 51212 · 64015 · 73160 · 102424 · 128030 · 146320 · 204848 · 256060 · 512120 (half) · 1024240

Aliquot sum (sum of proper divisors): 1,832,720

Factor pairs (a × b = 1,024,240)

1 × 1024240

2 × 512120

4 × 256060

5 × 204848

7 × 146320

8 × 128030

10 × 102424

14 × 73160

16 × 64015

20 × 51212

28 × 36580

31 × 33040

35 × 29264

40 × 25606

56 × 18290

59 × 17360

62 × 16520

70 × 14632

80 × 12803

112 × 9145

118 × 8680

124 × 8260

140 × 7316

155 × 6608

217 × 4720

236 × 4340

248 × 4130

280 × 3658

295 × 3472

310 × 3304

413 × 2480

434 × 2360

472 × 2170

496 × 2065

560 × 1829

590 × 1736

620 × 1652

826 × 1240

868 × 1180

944 × 1085

First multiples

1,024,240 · 2,048,480 (double) · 3,072,720 · 4,096,960 · 5,121,200 · 6,145,440 · 7,169,680 · 8,193,920 · 9,218,160 · 10,242,400

Sums & aliquot sequence

As consecutive integers: 204,846 + 204,847 + 204,848 + 204,849 + 204,850 146,317 + 146,318 + … + 146,323 33,025 + 33,026 + … + 33,055 31,992 + 31,993 + … + 32,023

Aliquot sequence: 1,024,240 → 1,832,720 → 2,571,760 → 4,070,672 → 4,381,168 → 5,382,096 → 8,974,128 → 15,754,448 → 17,148,208 → 25,706,192 → 25,707,184 → 25,708,176 → 54,453,360 → 133,534,608 → 231,013,488 → 385,026,448 → 401,812,080 — unresolved within range

Continued fraction of √n

√1,024,240 = [1012; (21, 11, 1, 13, 7, 5, 2, 6, 1, 2, 1, 24, 4, 24, 1, 2, 1, 6, 2, 5, 7, 13, 1, 11, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand two hundred forty
Ordinal: 1024240th
Binary: 11111010000011110000
Octal: 3720360
Hexadecimal: 0xFA0F0
Base64: D6Dw
One's complement: 4,293,943,055 (32-bit)
Scientific notation: 1.02424 × 10⁶
As a duration: 1,024,240 s = 11 days, 20 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1221000222211

quaternary (4) 3322003300

quinary (5) 230233430

senary (6) 33541504

septenary (7) 11464060

nonary (9) 1830884

undecimal (11) 63a588

duodecimal (12) 414894

tridecimal (13) 29b279

tetradecimal (14) 1c93a0

pentadecimal (15) 15372a

As an angle

1,024,240° = 2,845 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零二萬四千二百四十
Chinese (financial): 壹佰零貳萬肆仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٢٤٢٤٠ Devanagari १०२४२४० Bengali ১০২৪২৪০ Tamil ௧௦௨௪௨௪௦ Thai ๑๐๒๔๒๔๐ Tibetan ༡༠༢༤༢༤༠ Khmer ១០២៤២៤០ Lao ໑໐໒໔໒໔໐ Burmese ၁၀၂၄၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024240, here are decompositions:

89 + 1024151 = 1024240
137 + 1024103 = 1024240
149 + 1024091 = 1024240
167 + 1024073 = 1024240
179 + 1024061 = 1024240
263 + 1023977 = 1024240
293 + 1023947 = 1024240
383 + 1023857 = 1024240

Showing the first eight; more decompositions exist.

Hex color

#0FA0F0

RGB(15, 160, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.240.

Address: 0.15.160.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 4240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4240-02-01 (DMMYYYY (Euro, single-digit day))
4240-10-02 (MMDYYYY (US, single-digit day))
4240-02-10 (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 1,024,240 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 US1,024,240 on Google Patents ↗ Look up on USPTO ↗