Live analysis

1,025,440

1,025,440 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.).

1,025,440 (one million twenty-five thousand four hundred forty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5 × 13 × 17 × 29. Its proper divisors sum to 1,832,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA5A0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,025,428 1,025,429 1,025,430 1,025,431 1,025,432 1,025,433 1,025,434 1,025,435 1,025,436 1,025,437 1,025,438 1,025,439 1,025,440 1,025,441 1,025,442 1,025,443 1,025,444 1,025,445 1,025,446 1,025,447 1,025,448 1,025,449 1,025,450 1,025,451 1,025,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 445,201
Square (n²): 1,051,527,193,600
Cube (n³): 1,078,278,045,405,184,000
Divisor count: 96
σ(n) — sum of divisors: 2,857,680
φ(n) — Euler's totient: 344,064
Sum of prime factors: 74

Primality

Prime factorization: 2 ⁵ × 5 × 13 × 17 × 29

Nearest primes: 1,025,419 (−21) · 1,025,443 (+3)

Divisors & multiples

All divisors (96)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 17 · 20 · 26 · 29 · 32 · 34 · 40 · 52 · 58 · 65 · 68 · 80 · 85 · 104 · 116 · 130 · 136 · 145 · 160 · 170 · 208 · 221 · 232 · 260 · 272 · 290 · 340 · 377 · 416 · 442 · 464 · 493 · 520 · 544 · 580 · 680 · 754 · 884 · 928 · 986 · 1040 · 1105 · 1160 · 1360 · 1508 · 1768 · 1885 · 1972 · 2080 · 2210 · 2320 · 2465 · 2720 · 3016 · 3536 · 3770 · 3944 · 4420 · 4640 · 4930 · 6032 · 6409 · 7072 · 7540 · 7888 · 8840 · 9860 · 12064 · 12818 · 15080 · 15776 · 17680 · 19720 · 25636 · 30160 · 32045 · 35360 · 39440 · 51272 · 60320 · 64090 · 78880 · 102544 · 128180 · 205088 · 256360 · 512720 (half) · 1025440

Aliquot sum (sum of proper divisors): 1,832,240

Factor pairs (a × b = 1,025,440)

1 × 1025440

2 × 512720

4 × 256360

5 × 205088

8 × 128180

10 × 102544

13 × 78880

16 × 64090

17 × 60320

20 × 51272

26 × 39440

29 × 35360

32 × 32045

34 × 30160

40 × 25636

52 × 19720

58 × 17680

65 × 15776

68 × 15080

80 × 12818

85 × 12064

104 × 9860

116 × 8840

130 × 7888

136 × 7540

145 × 7072

160 × 6409

170 × 6032

208 × 4930

221 × 4640

232 × 4420

260 × 3944

272 × 3770

290 × 3536

340 × 3016

377 × 2720

416 × 2465

442 × 2320

464 × 2210

493 × 2080

520 × 1972

544 × 1885

580 × 1768

680 × 1508

754 × 1360

884 × 1160

928 × 1105

986 × 1040

First multiples

1,025,440 · 2,050,880 (double) · 3,076,320 · 4,101,760 · 5,127,200 · 6,152,640 · 7,178,080 · 8,203,520 · 9,228,960 · 10,254,400

Sums & aliquot sequence

As a sum of two squares: 36² + 1,012² = 132² + 1,004² = 284² + 972² = 356² + 948²

As consecutive integers: 205,086 + 205,087 + 205,088 + 205,089 + 205,090 78,874 + 78,875 + … + 78,886 60,312 + 60,313 + … + 60,328 35,346 + 35,347 + … + 35,374

Aliquot sequence: 1,025,440 → 1,832,240 → 2,549,920 → 3,474,644 → 2,993,356 → 2,245,024 → 2,174,930 → 1,946,350 → 2,303,378 → 2,004,526 → 1,002,266 → 501,136 → 469,846 → 334,538 → 167,272 → 207,128 → 204,352 — unresolved within range

Continued fraction of √n

√1,025,440 = [1012; (1, 1, 1, 3, 1, 1, 13, 1, 1, 55, 1, 2, 1, 5, 1, 1, 126, 24, 1, 224, 14, 16, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million twenty-five thousand four hundred forty
Ordinal: 1025440th
Binary: 11111010010110100000
Octal: 3722640
Hexadecimal: 0xFA5A0
Base64: D6Wg
One's complement: 4,293,941,855 (32-bit)
Scientific notation: 1.02544 × 10⁶
As a duration: 1,025,440 s = 11 days, 20 hours, 50 minutes, 40 seconds

In other bases

ternary (3) 1221002122021

quaternary (4) 3322112200

quinary (5) 230303230

senary (6) 33551224

septenary (7) 11500423

nonary (9) 1832567

undecimal (11) 640479

duodecimal (12) 415514

tridecimal (13) 29b990

tetradecimal (14) 1c99ba

pentadecimal (15) 153c7a

Palindromic in base 12

As an angle

1,025,440° = 2,848 × 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 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零二萬五千四百四十
Chinese (financial): 壹佰零貳萬伍仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٢٥٤٤٠ Devanagari १०२५४४० Bengali ১০২৫৪৪০ Tamil ௧௦௨௫௪௪௦ Thai ๑๐๒๕๔๔๐ Tibetan ༡༠༢༥༤༤༠ Khmer ១០២៥៤៤០ Lao ໑໐໒໕໔໔໐ Burmese ၁၀၂၅၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1025440, here are decompositions:

23 + 1025417 = 1025440
47 + 1025393 = 1025440
89 + 1025351 = 1025440
107 + 1025333 = 1025440
113 + 1025327 = 1025440
137 + 1025303 = 1025440
167 + 1025273 = 1025440
173 + 1025267 = 1025440

Showing the first eight; more decompositions exist.

Hex color

#0FA5A0

RGB(15, 165, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.165.160.

Address: 0.15.165.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.165.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 5440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5440-02-01 (DMMYYYY (Euro, single-digit day))
5440-10-02 (MMDYYYY (US, single-digit day))
5440-02-10 (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 1,025,440 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 US1,025,440 on Google Patents ↗ Look up on USPTO ↗