Live analysis

1,024,480

1,024,480 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.).

1,024,480 (one million twenty-four thousand four hundred eighty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 19 × 337. Its proper divisors sum to 1,530,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA1E0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,024,468 1,024,469 1,024,470 1,024,471 1,024,472 1,024,473 1,024,474 1,024,475 1,024,476 1,024,477 1,024,478 1,024,479 1,024,480 1,024,481 1,024,482 1,024,483 1,024,484 1,024,485 1,024,486 1,024,487 1,024,488 1,024,489 1,024,490 1,024,491 1,024,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 844,201
Square (n²): 1,049,559,270,400
Cube (n³): 1,075,252,481,339,392,000
Divisor count: 48
σ(n) — sum of divisors: 2,555,280
φ(n) — Euler's totient: 387,072
Sum of prime factors: 371

Primality

Prime factorization: 2 ⁵ × 5 × 19 × 337

Nearest primes: 1,024,477 (−3) · 1,024,481 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 32 · 38 · 40 · 76 · 80 · 95 · 152 · 160 · 190 · 304 · 337 · 380 · 608 · 674 · 760 · 1348 · 1520 · 1685 · 2696 · 3040 · 3370 · 5392 · 6403 · 6740 · 10784 · 12806 · 13480 · 25612 · 26960 · 32015 · 51224 · 53920 · 64030 · 102448 · 128060 · 204896 · 256120 · 512240 (half) · 1024480

Aliquot sum (sum of proper divisors): 1,530,800

Factor pairs (a × b = 1,024,480)

1 × 1024480

2 × 512240

4 × 256120

5 × 204896

8 × 128060

10 × 102448

16 × 64030

19 × 53920

20 × 51224

32 × 32015

38 × 26960

40 × 25612

76 × 13480

80 × 12806

95 × 10784

152 × 6740

160 × 6403

190 × 5392

304 × 3370

337 × 3040

380 × 2696

608 × 1685

674 × 1520

760 × 1348

First multiples

1,024,480 · 2,048,960 (double) · 3,073,440 · 4,097,920 · 5,122,400 · 6,146,880 · 7,171,360 · 8,195,840 · 9,220,320 · 10,244,800

Sums & aliquot sequence

As a sum of two cubes: 79³ + 81³

As consecutive integers: 204,894 + 204,895 + 204,896 + 204,897 + 204,898 53,911 + 53,912 + … + 53,929 15,976 + 15,977 + … + 16,039 10,737 + 10,738 + … + 10,831

Aliquot sequence: 1,024,480 → 1,530,800 → 2,274,760 → 3,265,640 → 5,287,960 → 6,610,040 → 8,343,640 → 10,429,640 → 15,697,720 → 19,622,240 → 30,954,160 → 41,014,448 → 39,755,680 → 54,167,492 → 40,932,604 → 30,699,460 → 41,150,780 — unresolved within range

Continued fraction of √n

√1,024,480 = [1012; (6, 41, 6, 1, 5, 5, 1, 55, 2, 1, 1, 5, 1, 1, 4, 6, 2, 2, 1, 1, 25, 24, 1, 20, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand four hundred eighty
Ordinal: 1024480th
Binary: 11111010000111100000
Octal: 3720740
Hexadecimal: 0xFA1E0
Base64: D6Hg
One's complement: 4,293,942,815 (32-bit)
Scientific notation: 1.02448 × 10⁶
As a duration: 1,024,480 s = 11 days, 20 hours, 34 minutes, 40 seconds

In other bases

ternary (3) 1221001022201

quaternary (4) 3322013200

quinary (5) 230240410

senary (6) 33542544

septenary (7) 11464552

nonary (9) 1831281

undecimal (11) 63a786

duodecimal (12) 414a54

tridecimal (13) 29b402

tetradecimal (14) 1c94d2

pentadecimal (15) 15383a

As an angle

1,024,480° = 2,845 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零二萬四千四百八十
Chinese (financial): 壹佰零貳萬肆仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٢٤٤٨٠ Devanagari १०२४४८० Bengali ১০২৪৪৮০ Tamil ௧௦௨௪௪௮௦ Thai ๑๐๒๔๔๘๐ Tibetan ༡༠༢༤༤༨༠ Khmer ១០២៤៤៨០ Lao ໑໐໒໔໔໘໐ Burmese ၁၀၂၄၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024480, here are decompositions:

3 + 1024477 = 1024480
47 + 1024433 = 1024480
53 + 1024427 = 1024480
59 + 1024421 = 1024480
89 + 1024391 = 1024480
101 + 1024379 = 1024480
167 + 1024313 = 1024480
173 + 1024307 = 1024480

Showing the first eight; more decompositions exist.

Hex color

#0FA1E0

RGB(15, 161, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.224.

Address: 0.15.161.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.161.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 4480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4480-02-01 (DMMYYYY (Euro, single-digit day))
4480-10-02 (MMDYYYY (US, single-digit day))
4480-02-10 (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 1,024,480 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 US1,024,480 on Google Patents ↗ Look up on USPTO ↗