Live analysis

1,024,000

1,024,000 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.).

1,024,000 (one million twenty-four thousand) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2¹³ × 5³. Its proper divisors sum to 1,531,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA000.

Abundant Number Achilles Number Evil Number Frugal Number Gapful Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,023,988 1,023,989 1,023,990 1,023,991 1,023,992 1,023,993 1,023,994 1,023,995 1,023,996 1,023,997 1,023,998 1,023,999 1,024,000 1,024,001 1,024,002 1,024,003 1,024,004 1,024,005 1,024,006 1,024,007 1,024,008 1,024,009 1,024,010 1,024,011 1,024,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,201
Square (n²): 1,048,576,000,000
Cube (n³): 1,073,741,824,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 2,555,748
φ(n) — Euler's totient: 409,600
Sum of prime factors: 41

Primality

Prime factorization: 2 ¹³ × 5 ³

Nearest primes: 1,023,991 (−9) · 1,024,021 (+21)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 125 · 128 · 160 · 200 · 250 · 256 · 320 · 400 · 500 · 512 · 640 · 800 · 1000 · 1024 · 1280 · 1600 · 2000 · 2048 · 2560 · 3200 · 4000 · 4096 · 5120 · 6400 · 8000 · 8192 · 10240 · 12800 · 16000 · 20480 · 25600 · 32000 · 40960 · 51200 · 64000 · 102400 · 128000 · 204800 · 256000 · 512000 (half) · 1024000

Aliquot sum (sum of proper divisors): 1,531,748

Factor pairs (a × b = 1,024,000)

1 × 1024000

2 × 512000

4 × 256000

5 × 204800

8 × 128000

10 × 102400

16 × 64000

20 × 51200

25 × 40960

32 × 32000

40 × 25600

50 × 20480

64 × 16000

80 × 12800

100 × 10240

125 × 8192

128 × 8000

160 × 6400

200 × 5120

250 × 4096

256 × 4000

320 × 3200

400 × 2560

500 × 2048

512 × 2000

640 × 1600

800 × 1280

1000 × 1024

First multiples

1,024,000 · 2,048,000 (double) · 3,072,000 · 4,096,000 · 5,120,000 · 6,144,000 · 7,168,000 · 8,192,000 · 9,216,000 · 10,240,000

Sums & aliquot sequence

As a sum of two squares: 320² + 960² = 576² + 832²

As a sum of two cubes: 80³ + 80³

As consecutive integers: 204,798 + 204,799 + 204,800 + 204,801 + 204,802 40,948 + 40,949 + … + 40,972 8,130 + 8,131 + … + 8,254

Aliquot sequence: 1,024,000 → 1,531,748 → 1,157,512 → 1,066,388 → 872,458 → 440,822 → 220,414 → 112,514 → 58,234 → 37,094 → 21,874 → 10,940 → 12,076 → 9,064 → 9,656 → 9,784 → 8,576 — unresolved within range

Continued fraction of √n

√1,024,000 = [1011; (1, 13, 18, 6, 5, 4, 3, 5, 2, 1, 1, 1, 12, 2, 1, 8, 3, 7, 1, 4, 5, 1, 1, 3, …)]

Representations

In words: one million twenty-four thousand
Ordinal: 1024000th
Binary: 11111010000000000000
Octal: 3720000
Hexadecimal: 0xFA000
Base64: D6AA
One's complement: 4,293,943,295 (32-bit)
Scientific notation: 1.024 × 10⁶
As a duration: 1,024,000 s = 11 days, 20 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 1221000122221

quaternary (4) 3322000000

quinary (5) 230232000

senary (6) 33540424

septenary (7) 11463265

nonary (9) 1830587

undecimal (11) 63a38a

duodecimal (12) 414714

tridecimal (13) 29b123

tetradecimal (14) 1c926c

pentadecimal (15) 15361a

As an angle

1,024,000° = 2,844 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼
Chinese: 一百零二萬四千
Chinese (financial): 壹佰零貳萬肆仟

In other modern scripts

Eastern Arabic ١٠٢٤٠٠٠ Devanagari १०२४००० Bengali ১০২৪০০০ Tamil ௧௦௨௪௦௦௦ Thai ๑๐๒๔๐๐๐ Tibetan ༡༠༢༤༠༠༠ Khmer ១០២៤០០០ Lao ໑໐໒໔໐໐໐ Burmese ၁၀၂၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024000, here are decompositions:

23 + 1023977 = 1024000
53 + 1023947 = 1024000
59 + 1023941 = 1024000
149 + 1023851 = 1024000
167 + 1023833 = 1024000
179 + 1023821 = 1024000
269 + 1023731 = 1024000
281 + 1023719 = 1024000

Showing the first eight; more decompositions exist.

Hex color

#0FA000

RGB(15, 160, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.0.

Address: 0.15.160.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 4000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4000-02-01 (DMMYYYY (Euro, single-digit day))
4000-10-02 (MMDYYYY (US, single-digit day))
4000-02-10 (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 1,024,000 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 US1,024,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1024000 first appears in π at position 860,949 of the decimal expansion (the 860,949ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1024000 on Pi Search ↗