Live analysis

1,000,480

1,000,480 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.).

1,000,480 (one million four hundred eighty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5 × 13² × 37. Its proper divisors sum to 1,628,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4420.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,468 1,000,469 1,000,470 1,000,471 1,000,472 1,000,473 1,000,474 1,000,475 1,000,476 1,000,477 1,000,478 1,000,479 1,000,480 1,000,481 1,000,482 1,000,483 1,000,484 1,000,485 1,000,486 1,000,487 1,000,488 1,000,489 1,000,490 1,000,491 1,000,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 840,001
Square (n²): 1,000,960,230,400
Cube (n³): 1,001,440,691,310,592,000
Divisor count: 72
σ(n) — sum of divisors: 2,628,612
φ(n) — Euler's totient: 359,424
Sum of prime factors: 78

Primality

Prime factorization: 2 ⁵ × 5 × 13 ² × 37

Nearest primes: 1,000,457 (−23) · 1,000,507 (+27)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 37 · 40 · 52 · 65 · 74 · 80 · 104 · 130 · 148 · 160 · 169 · 185 · 208 · 260 · 296 · 338 · 370 · 416 · 481 · 520 · 592 · 676 · 740 · 845 · 962 · 1040 · 1184 · 1352 · 1480 · 1690 · 1924 · 2080 · 2405 · 2704 · 2960 · 3380 · 3848 · 4810 · 5408 · 5920 · 6253 · 6760 · 7696 · 9620 · 12506 · 13520 · 15392 · 19240 · 25012 · 27040 · 31265 · 38480 · 50024 · 62530 · 76960 · 100048 · 125060 · 200096 · 250120 · 500240 (half) · 1000480

Aliquot sum (sum of proper divisors): 1,628,132

Factor pairs (a × b = 1,000,480)

1 × 1000480

2 × 500240

4 × 250120

5 × 200096

8 × 125060

10 × 100048

13 × 76960

16 × 62530

20 × 50024

26 × 38480

32 × 31265

37 × 27040

40 × 25012

52 × 19240

65 × 15392

74 × 13520

80 × 12506

104 × 9620

130 × 7696

148 × 6760

160 × 6253

169 × 5920

185 × 5408

208 × 4810

260 × 3848

296 × 3380

338 × 2960

370 × 2704

416 × 2405

481 × 2080

520 × 1924

592 × 1690

676 × 1480

740 × 1352

845 × 1184

962 × 1040

First multiples

1,000,480 · 2,000,960 (double) · 3,001,440 · 4,001,920 · 5,002,400 · 6,002,880 · 7,003,360 · 8,003,840 · 9,004,320 · 10,004,800

Sums & aliquot sequence

As a sum of two squares: 92² + 996² = 156² + 988² = 236² + 972² = 468² + 884²

As consecutive integers: 200,094 + 200,095 + 200,096 + 200,097 + 200,098 76,954 + 76,955 + … + 76,966 27,022 + 27,023 + … + 27,058 15,601 + 15,602 + … + 15,664

Aliquot sequence: 1,000,480 → 1,628,132 → 1,480,204 → 1,345,724 → 1,033,324 → 775,000 → 1,099,880 → 1,457,560 → 2,075,480 → 3,173,320 → 3,966,740 → 4,363,456 → 4,597,664 → 4,454,050 → 3,888,050 → 3,343,816 → 4,181,624 — unresolved within range

Continued fraction of √n

√1,000,480 = [1000; (4, 5, 1, 54, 1, 2, 1, 2, 4, 1, 3, 24, 2, 3, 2, 1, 6, 11, 1, 2, 4, 1, 11, 1, …)]

Representations

In words: one million four hundred eighty
Ordinal: 1000480th
Binary: 11110100010000100000
Octal: 3642040
Hexadecimal: 0xF4420
Base64: D0Qg
One's complement: 4,293,966,815 (32-bit)
Scientific notation: 1.00048 × 10⁶
As a duration: 1,000,480 s = 11 days, 13 hours, 54 minutes, 40 seconds

In other bases

ternary (3) 1212211101211

quaternary (4) 3310100200

quinary (5) 224003410

senary (6) 33235504

septenary (7) 11334565

nonary (9) 1784354

undecimal (11) 623748

duodecimal (12) 402b94

tridecimal (13) 290500

tetradecimal (14) 1c086c

pentadecimal (15) 14b68a

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬零四百八十
Chinese (financial): 壹佰萬零肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٠٤٨٠ Devanagari १०००४८० Bengali ১০০০৪৮০ Tamil ௧௦௦௦௪௮௦ Thai ๑๐๐๐๔๘๐ Tibetan ༡༠༠༠༤༨༠ Khmer ១០០០៤៨០ Lao ໑໐໐໐໔໘໐ Burmese ၁၀၀၀၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000480, here are decompositions:

23 + 1000457 = 1000480
53 + 1000427 = 1000480
71 + 1000409 = 1000480
83 + 1000397 = 1000480
113 + 1000367 = 1000480
167 + 1000313 = 1000480
191 + 1000289 = 1000480
227 + 1000253 = 1000480

Showing the first eight; more decompositions exist.

Hex color

#0F4420

RGB(15, 68, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.32.

Address: 0.15.68.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.32

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 1,000,480 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 US1,000,480 on Google Patents ↗ Look up on USPTO ↗