Live analysis

1,001,360

1,001,360 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.).

1,001,360 (one million one thousand three hundred sixty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,517. Its proper divisors sum to 1,326,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4790.

Abundant Number Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,348 1,001,349 1,001,350 1,001,351 1,001,352 1,001,353 1,001,354 1,001,355 1,001,356 1,001,357 1,001,358 1,001,359 1,001,360 1,001,361 1,001,362 1,001,363 1,001,364 1,001,365 1,001,366 1,001,367 1,001,368 1,001,369 1,001,370 1,001,371 1,001,372

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 631,001
Square (n²): 1,002,721,849,600
Cube (n³): 1,004,085,551,315,456,000
Divisor count: 20
σ(n) — sum of divisors: 2,328,348
φ(n) — Euler's totient: 400,512
Sum of prime factors: 12,530

Primality

Prime factorization: 2 ⁴ × 5 × 12517

Nearest primes: 1,001,353 (−7) · 1,001,369 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12517 · 25034 · 50068 · 62585 · 100136 · 125170 · 200272 · 250340 · 500680 (half) · 1001360

Aliquot sum (sum of proper divisors): 1,326,988

Factor pairs (a × b = 1,001,360)

1 × 1001360

2 × 500680

4 × 250340

5 × 200272

8 × 125170

10 × 100136

16 × 62585

20 × 50068

40 × 25034

80 × 12517

First multiples

1,001,360 · 2,002,720 (double) · 3,004,080 · 4,005,440 · 5,006,800 · 6,008,160 · 7,009,520 · 8,010,880 · 9,012,240 · 10,013,600

Sums & aliquot sequence

As a sum of two squares: 332² + 944² = 556² + 832²

As consecutive integers: 200,270 + 200,271 + 200,272 + 200,273 + 200,274 31,277 + 31,278 + … + 31,308 6,179 + 6,180 + … + 6,338

Aliquot sequence: 1,001,360 → 1,326,988 → 1,205,332 → 904,006 → 461,114 → 233,734 → 116,870 → 125,050 → 117,122 → 60,154 → 34,886 → 17,446 → 13,802 → 7,414 → 4,754 → 2,380 → 3,668 — unresolved within range

Continued fraction of √n

√1,001,360 = [1000; (1, 2, 8, 6, 1, 4, 7, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 7, 1, 1, 2, 1, …)]

Representations

In words: one million one thousand three hundred sixty
Ordinal: 1001360th
Binary: 11110100011110010000
Octal: 3643620
Hexadecimal: 0xF4790
Base64: D0eQ
One's complement: 4,293,965,935 (32-bit)
Scientific notation: 1.00136 × 10⁶
As a duration: 1,001,360 s = 11 days, 14 hours, 9 minutes, 20 seconds

In other bases

ternary (3) 1212212121102

quaternary (4) 3310132100

quinary (5) 224020420

senary (6) 33243532

septenary (7) 11340263

nonary (9) 1785542

undecimal (11) 624378

duodecimal (12) 4035a8

tridecimal (13) 290a29

tetradecimal (14) 1c0cda

pentadecimal (15) 14ba75

As an angle

1,001,360° = 2,781 × 360° + 200°

200° ≈ 3.491 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千三百六十
Chinese (financial): 壹佰萬壹仟參佰陸拾

In other modern scripts

Eastern Arabic ١٠٠١٣٦٠ Devanagari १००१३६० Bengali ১০০১৩৬০ Tamil ௧௦௦௧௩௬௦ Thai ๑๐๐๑๓๖๐ Tibetan ༡༠༠༡༣༦༠ Khmer ១០០១៣៦០ Lao ໑໐໐໑໓໖໐ Burmese ၁၀၀၁၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001360, here are decompositions:

7 + 1001353 = 1001360
13 + 1001347 = 1001360
37 + 1001323 = 1001360
163 + 1001197 = 1001360
271 + 1001089 = 1001360
337 + 1001023 = 1001360
379 + 1000981 = 1001360
439 + 1000921 = 1001360

Showing the first eight; more decompositions exist.

Hex color

#0F4790

RGB(15, 71, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.144.

Address: 0.15.71.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.144

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

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 1,001,360 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,001,360 on Google Patents ↗ Look up on USPTO ↗