Live analysis

1,007,460

1,007,460 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.).

1,007,460 (one million seven thousand four hundred sixty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 29 × 193. Its proper divisors sum to 2,170,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5F64.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,007,448 1,007,449 1,007,450 1,007,451 1,007,452 1,007,453 1,007,454 1,007,455 1,007,456 1,007,457 1,007,458 1,007,459 1,007,460 1,007,461 1,007,462 1,007,463 1,007,464 1,007,465 1,007,466 1,007,467 1,007,468 1,007,469 1,007,470 1,007,471 1,007,472

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 647,001
Recamán's sequence: a(350,531) = 1,007,460
Square (n²): 1,014,975,651,600
Cube (n³): 1,022,547,369,960,936,000
Divisor count: 72
σ(n) — sum of divisors: 3,177,720
φ(n) — Euler's totient: 258,048
Sum of prime factors: 237

Primality

Prime factorization: 2 ² × 3 ² × 5 × 29 × 193

Nearest primes: 1,007,459 (−1) · 1,007,467 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 29 · 30 · 36 · 45 · 58 · 60 · 87 · 90 · 116 · 145 · 174 · 180 · 193 · 261 · 290 · 348 · 386 · 435 · 522 · 579 · 580 · 772 · 870 · 965 · 1044 · 1158 · 1305 · 1737 · 1740 · 1930 · 2316 · 2610 · 2895 · 3474 · 3860 · 5220 · 5597 · 5790 · 6948 · 8685 · 11194 · 11580 · 16791 · 17370 · 22388 · 27985 · 33582 · 34740 · 50373 · 55970 · 67164 · 83955 · 100746 · 111940 · 167910 · 201492 · 251865 · 335820 · 503730 (half) · 1007460

Aliquot sum (sum of proper divisors): 2,170,260

Factor pairs (a × b = 1,007,460)

1 × 1007460

2 × 503730

3 × 335820

4 × 251865

5 × 201492

6 × 167910

9 × 111940

10 × 100746

12 × 83955

15 × 67164

18 × 55970

20 × 50373

29 × 34740

30 × 33582

36 × 27985

45 × 22388

58 × 17370

60 × 16791

87 × 11580

90 × 11194

116 × 8685

145 × 6948

174 × 5790

180 × 5597

193 × 5220

261 × 3860

290 × 3474

348 × 2895

386 × 2610

435 × 2316

522 × 1930

579 × 1740

580 × 1737

772 × 1305

870 × 1158

965 × 1044

First multiples

1,007,460 · 2,014,920 (double) · 3,022,380 · 4,029,840 · 5,037,300 · 6,044,760 · 7,052,220 · 8,059,680 · 9,067,140 · 10,074,600

Sums & aliquot sequence

As a sum of two squares: 198² + 984² = 312² + 954² = 432² + 906² = 576² + 822²

As consecutive integers: 335,819 + 335,820 + 335,821 201,490 + 201,491 + 201,492 + 201,493 + 201,494 125,929 + 125,930 + … + 125,936 111,936 + 111,937 + … + 111,944

Aliquot sequence: 1,007,460 → 2,170,260 → 4,583,340 → 9,320,004 → 14,879,080 → 20,569,760 → 28,872,640 → 39,881,096 → 35,843,704 → 38,083,016 → 33,467,524 → 25,100,650 → 21,586,652 → 16,189,996 → 12,745,652 → 10,387,948 → 8,324,564 — unresolved within range

Continued fraction of √n

√1,007,460 = [1003; (1, 2, 1, 1, 1, 1, 3, 31, 11, 5, 2, 7, 1, 6, 1, 23, 1, 10, 7, 1, 1, 1, 2, 2, …)]

Representations

In words: one million seven thousand four hundred sixty
Ordinal: 1007460th
Binary: 11110101111101100100
Octal: 3657544
Hexadecimal: 0xF5F64
Base64: D19k
One's complement: 4,293,959,835 (32-bit)
Scientific notation: 1.00746 × 10⁶
As a duration: 1,007,460 s = 11 days, 15 hours, 51 minutes

In other bases

ternary (3) 1220011222100

quaternary (4) 3311331210

quinary (5) 224214320

senary (6) 33332100

septenary (7) 11364126

nonary (9) 1804870

undecimal (11) 628a13

duodecimal (12) 407030

tridecimal (13) 29373c

tetradecimal (14) 1c3216

pentadecimal (15) 14d790

As an angle

1,007,460° = 2,798 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬七千四百六十
Chinese (financial): 壹佰萬柒仟肆佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٧٤٦٠ Devanagari १००७४६० Bengali ১০০৭৪৬০ Tamil ௧௦௦௭௪௬௦ Thai ๑๐๐๗๔๖๐ Tibetan ༡༠༠༧༤༦༠ Khmer ១០០៧៤៦០ Lao ໑໐໐໗໔໖໐ Burmese ၁၀၀၇၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007460, here are decompositions:

19 + 1007441 = 1007460
31 + 1007429 = 1007460
43 + 1007417 = 1007460
59 + 1007401 = 1007460
73 + 1007387 = 1007460
79 + 1007381 = 1007460
101 + 1007359 = 1007460
107 + 1007353 = 1007460

Showing the first eight; more decompositions exist.

Hex color

#0F5F64

RGB(15, 95, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.100.

Address: 0.15.95.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.95.100

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 1,007,460 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 US1,007,460 on Google Patents ↗ Look up on USPTO ↗