Live analysis

1,002,440

1,002,440 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.).

1,002,440 (one million two thousand four hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 19 × 1,319. Its proper divisors sum to 1,373,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BC8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,428 1,002,429 1,002,430 1,002,431 1,002,432 1,002,433 1,002,434 1,002,435 1,002,436 1,002,437 1,002,438 1,002,439 1,002,440 1,002,441 1,002,442 1,002,443 1,002,444 1,002,445 1,002,446 1,002,447 1,002,448 1,002,449 1,002,450 1,002,451 1,002,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 442,001
Square (n²): 1,004,885,953,600
Cube (n³): 1,007,337,875,326,784,000
Divisor count: 32
σ(n) — sum of divisors: 2,376,000
φ(n) — Euler's totient: 379,584
Sum of prime factors: 1,349

Primality

Prime factorization: 2 ³ × 5 × 19 × 1319

Nearest primes: 1,002,433 (−7) · 1,002,451 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 38 · 40 · 76 · 95 · 152 · 190 · 380 · 760 · 1319 · 2638 · 5276 · 6595 · 10552 · 13190 · 25061 · 26380 · 50122 · 52760 · 100244 · 125305 · 200488 · 250610 · 501220 (half) · 1002440

Aliquot sum (sum of proper divisors): 1,373,560

Factor pairs (a × b = 1,002,440)

1 × 1002440

2 × 501220

4 × 250610

5 × 200488

8 × 125305

10 × 100244

19 × 52760

20 × 50122

38 × 26380

40 × 25061

76 × 13190

95 × 10552

152 × 6595

190 × 5276

380 × 2638

760 × 1319

First multiples

1,002,440 · 2,004,880 (double) · 3,007,320 · 4,009,760 · 5,012,200 · 6,014,640 · 7,017,080 · 8,019,520 · 9,021,960 · 10,024,400

Sums & aliquot sequence

As consecutive integers: 200,486 + 200,487 + 200,488 + 200,489 + 200,490 62,645 + 62,646 + … + 62,660 52,751 + 52,752 + … + 52,769 12,491 + 12,492 + … + 12,570

Aliquot sequence: 1,002,440 → 1,373,560 → 1,853,480 → 2,316,940 → 2,892,404 → 2,169,310 → 2,656,994 → 1,328,500 → 1,574,036 → 1,365,964 → 1,024,480 → 1,530,800 → 2,274,760 → 3,265,640 → 5,287,960 → 6,610,040 → 8,343,640 — unresolved within range

Continued fraction of √n

√1,002,440 = [1001; (4, 1, 1, 3, 1, 1, 1, 1, 4, 1, 2, 1, 1, 11, 3, 1, 1, 1, 10, 4, 14, 2, 11, 1, …)]

Representations

In words: one million two thousand four hundred forty
Ordinal: 1002440th
Binary: 11110100101111001000
Octal: 3645710
Hexadecimal: 0xF4BC8
Base64: D0vI
One's complement: 4,293,964,855 (32-bit)
Scientific notation: 1.00244 × 10⁶
As a duration: 1,002,440 s = 11 days, 14 hours, 27 minutes, 20 seconds

In other bases

ternary (3) 1212221002102

quaternary (4) 3310233020

quinary (5) 224034230

senary (6) 33252532

septenary (7) 11343365

nonary (9) 1787072

undecimal (11) 62516a

duodecimal (12) 404148

tridecimal (13) 29137a

tetradecimal (14) 1c146c

pentadecimal (15) 14c045

As an angle

1,002,440° = 2,784 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬二千四百四十
Chinese (financial): 壹佰萬貳仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٢٤٤٠ Devanagari १००२४४० Bengali ১০০২৪৪০ Tamil ௧௦௦௨௪௪௦ Thai ๑๐๐๒๔๔๐ Tibetan ༡༠༠༢༤༤༠ Khmer ១០០២៤៤០ Lao ໑໐໐໒໔໔໐ Burmese ၁၀၀၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002440, here are decompositions:

7 + 1002433 = 1002440
13 + 1002427 = 1002440
37 + 1002403 = 1002440
79 + 1002361 = 1002440
97 + 1002343 = 1002440
151 + 1002289 = 1002440
181 + 1002259 = 1002440
193 + 1002247 = 1002440

Showing the first eight; more decompositions exist.

Hex color

#0F4BC8

RGB(15, 75, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.200.

Address: 0.15.75.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.200

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 1,002,440 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 US1,002,440 on Google Patents ↗ Look up on USPTO ↗