Live analysis

1,024,400

1,024,400 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.).

1,024,400 (one million twenty-four thousand four hundred) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 13 × 197. Its proper divisors sum to 1,639,492, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA190.

Abundant Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,024,388 1,024,389 1,024,390 1,024,391 1,024,392 1,024,393 1,024,394 1,024,395 1,024,396 1,024,397 1,024,398 1,024,399 1,024,400 1,024,401 1,024,402 1,024,403 1,024,404 1,024,405 1,024,406 1,024,407 1,024,408 1,024,409 1,024,410 1,024,411 1,024,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 44,201
Square (n²): 1,049,395,360,000
Cube (n³): 1,075,000,606,784,000,000
Divisor count: 60
σ(n) — sum of divisors: 2,663,892
φ(n) — Euler's totient: 376,320
Sum of prime factors: 228

Primality

Prime factorization: 2 ⁴ × 5 ² × 13 × 197

Nearest primes: 1,024,399 (−1) · 1,024,411 (+11)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 40 · 50 · 52 · 65 · 80 · 100 · 104 · 130 · 197 · 200 · 208 · 260 · 325 · 394 · 400 · 520 · 650 · 788 · 985 · 1040 · 1300 · 1576 · 1970 · 2561 · 2600 · 3152 · 3940 · 4925 · 5122 · 5200 · 7880 · 9850 · 10244 · 12805 · 15760 · 19700 · 20488 · 25610 · 39400 · 40976 · 51220 · 64025 · 78800 · 102440 · 128050 · 204880 · 256100 · 512200 (half) · 1024400

Aliquot sum (sum of proper divisors): 1,639,492

Factor pairs (a × b = 1,024,400)

1 × 1024400

2 × 512200

4 × 256100

5 × 204880

8 × 128050

10 × 102440

13 × 78800

16 × 64025

20 × 51220

25 × 40976

26 × 39400

40 × 25610

50 × 20488

52 × 19700

65 × 15760

80 × 12805

100 × 10244

104 × 9850

130 × 7880

197 × 5200

200 × 5122

208 × 4925

260 × 3940

325 × 3152

394 × 2600

400 × 2561

520 × 1970

650 × 1576

788 × 1300

985 × 1040

First multiples

1,024,400 · 2,048,800 (double) · 3,073,200 · 4,097,600 · 5,122,000 · 6,146,400 · 7,170,800 · 8,195,200 · 9,219,600 · 10,244,000

Sums & aliquot sequence

As a sum of two squares: 16² + 1,012² = 128² + 1,004² = 268² + 976² = 404² + 928²

As consecutive integers: 204,878 + 204,879 + 204,880 + 204,881 + 204,882 78,794 + 78,795 + … + 78,806 40,964 + 40,965 + … + 40,988 31,997 + 31,998 + … + 32,028

Aliquot sequence: 1,024,400 → 1,639,492 → 1,278,668 → 1,083,412 → 985,004 → 738,760 → 1,179,320 → 1,474,240 → 2,256,512 → 2,597,158 → 1,527,794 → 763,900 → 893,980 → 983,420 → 1,081,804 → 811,360 → 1,284,272 — unresolved within range

Continued fraction of √n

√1,024,400 = [1012; (7, 1, 9, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 7, 1, 3, 126, 3, 1, 7, 6, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand four hundred
Ordinal: 1024400th
Binary: 11111010000110010000
Octal: 3720620
Hexadecimal: 0xFA190
Base64: D6GQ
One's complement: 4,293,942,895 (32-bit)
Scientific notation: 1.0244 × 10⁶
As a duration: 1,024,400 s = 11 days, 20 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1221001012202

quaternary (4) 3322012100

quinary (5) 230240100

senary (6) 33542332

septenary (7) 11464406

nonary (9) 1831182

undecimal (11) 63a713

duodecimal (12) 4149a8

tridecimal (13) 29b370

tetradecimal (14) 1c9476

pentadecimal (15) 1537d5

As an angle

1,024,400° = 2,845 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百零二萬四千四百
Chinese (financial): 壹佰零貳萬肆仟肆佰

In other modern scripts

Eastern Arabic ١٠٢٤٤٠٠ Devanagari १०२४४०० Bengali ১০২৪৪০০ Tamil ௧௦௨௪௪௦௦ Thai ๑๐๒๔๔๐๐ Tibetan ༡༠༢༤༤༠༠ Khmer ១០២៤៤០០ Lao ໑໐໒໔໔໐໐ Burmese ၁၀၂၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024400, here are decompositions:

43 + 1024357 = 1024400
61 + 1024339 = 1024400
73 + 1024327 = 1024400
79 + 1024321 = 1024400
151 + 1024249 = 1024400
193 + 1024207 = 1024400
211 + 1024189 = 1024400
229 + 1024171 = 1024400

Showing the first eight; more decompositions exist.

Hex color

#0FA190

RGB(15, 161, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.144.

Address: 0.15.161.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.161.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 4400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4400-02-01 (DMMYYYY (Euro, single-digit day))
4400-10-02 (MMDYYYY (US, single-digit day))
4400-02-10 (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 1,024,400 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 US1,024,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1024400 first appears in π at position 173,327 of the decimal expansion (the 173,327ordinal-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 1024400 on Pi Search ↗