Live analysis

1,002,400

1,002,400 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.).

1,002,400 (one million two thousand four hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5² × 7 × 179. Its proper divisors sum to 1,809,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BA0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,388 1,002,389 1,002,390 1,002,391 1,002,392 1,002,393 1,002,394 1,002,395 1,002,396 1,002,397 1,002,398 1,002,399 1,002,400 1,002,401 1,002,402 1,002,403 1,002,404 1,002,405 1,002,406 1,002,407 1,002,408 1,002,409 1,002,410 1,002,411 1,002,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 42,001
Square (n²): 1,004,805,760,000
Cube (n³): 1,007,217,293,824,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,812,320
φ(n) — Euler's totient: 341,760
Sum of prime factors: 206

Primality

Prime factorization: 2 ⁵ × 5 ² × 7 × 179

Nearest primes: 1,002,377 (−23) · 1,002,403 (+3)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 32 · 35 · 40 · 50 · 56 · 70 · 80 · 100 · 112 · 140 · 160 · 175 · 179 · 200 · 224 · 280 · 350 · 358 · 400 · 560 · 700 · 716 · 800 · 895 · 1120 · 1253 · 1400 · 1432 · 1790 · 2506 · 2800 · 2864 · 3580 · 4475 · 5012 · 5600 · 5728 · 6265 · 7160 · 8950 · 10024 · 12530 · 14320 · 17900 · 20048 · 25060 · 28640 · 31325 · 35800 · 40096 · 50120 · 62650 · 71600 · 100240 · 125300 · 143200 · 200480 · 250600 · 501200 (half) · 1002400

Aliquot sum (sum of proper divisors): 1,809,920

Factor pairs (a × b = 1,002,400)

1 × 1002400

2 × 501200

4 × 250600

5 × 200480

7 × 143200

8 × 125300

10 × 100240

14 × 71600

16 × 62650

20 × 50120

25 × 40096

28 × 35800

32 × 31325

35 × 28640

40 × 25060

50 × 20048

56 × 17900

70 × 14320

80 × 12530

100 × 10024

112 × 8950

140 × 7160

160 × 6265

175 × 5728

179 × 5600

200 × 5012

224 × 4475

280 × 3580

350 × 2864

358 × 2800

400 × 2506

560 × 1790

700 × 1432

716 × 1400

800 × 1253

895 × 1120

First multiples

1,002,400 · 2,004,800 (double) · 3,007,200 · 4,009,600 · 5,012,000 · 6,014,400 · 7,016,800 · 8,019,200 · 9,021,600 · 10,024,000

Sums & aliquot sequence

As consecutive integers: 200,478 + 200,479 + 200,480 + 200,481 + 200,482 143,197 + 143,198 + … + 143,203 40,084 + 40,085 + … + 40,108 28,623 + 28,624 + … + 28,657

Aliquot sequence: 1,002,400 → 1,809,920 → 3,198,688 → 3,431,432 → 3,124,708 → 2,387,484 → 4,197,276 → 6,757,668 → 10,909,058 → 5,454,532 → 4,113,404 → 3,184,180 → 3,502,640 → 4,641,184 → 4,496,210 → 3,596,986 → 1,984,634 — unresolved within range

Continued fraction of √n

√1,002,400 = [1001; (5, 55, 2, 2, 1, 2, 2, 24, 3, 2, 1, 7, 2, 1, 11, 1, 10, 1, 1, 11, 3, 16, 4, 2, …)]

Representations

In words: one million two thousand four hundred
Ordinal: 1002400th
Binary: 11110100101110100000
Octal: 3645640
Hexadecimal: 0xF4BA0
Base64: D0ug
One's complement: 4,293,964,895 (32-bit)
Scientific notation: 1.0024 × 10⁶
As a duration: 1,002,400 s = 11 days, 14 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 1212221000221

quaternary (4) 3310232200

quinary (5) 224034100

senary (6) 33252424

septenary (7) 11343310

nonary (9) 1787027

undecimal (11) 625133

duodecimal (12) 404114

tridecimal (13) 291349

tetradecimal (14) 1c1440

pentadecimal (15) 14c01a

As an angle

1,002,400° = 2,784 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百萬二千四百
Chinese (financial): 壹佰萬貳仟肆佰

In other modern scripts

Eastern Arabic ١٠٠٢٤٠٠ Devanagari १००२४०० Bengali ১০০২৪০০ Tamil ௧௦௦௨௪௦௦ Thai ๑๐๐๒๔๐๐ Tibetan ༡༠༠༢༤༠༠ Khmer ១០០២៤០០ Lao ໑໐໐໒໔໐໐ Burmese ၁၀၀၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002400, here are decompositions:

23 + 1002377 = 1002400
41 + 1002359 = 1002400
53 + 1002347 = 1002400
59 + 1002341 = 1002400
101 + 1002299 = 1002400
137 + 1002263 = 1002400
173 + 1002227 = 1002400
227 + 1002173 = 1002400

Showing the first eight; more decompositions exist.

Hex color

#0F4BA0

RGB(15, 75, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.160.

Address: 0.15.75.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.160

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 1,002,400 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 US1,002,400 on Google Patents ↗ Look up on USPTO ↗