Live analysis

1,001,280

1,001,280 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.).

1,001,280 (one million one thousand two hundred eighty) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 7 × 149. Its proper divisors sum to 2,656,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4740.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,268 1,001,269 1,001,270 1,001,271 1,001,272 1,001,273 1,001,274 1,001,275 1,001,276 1,001,277 1,001,278 1,001,279 1,001,280 1,001,281 1,001,282 1,001,283 1,001,284 1,001,285 1,001,286 1,001,287 1,001,288 1,001,289 1,001,290 1,001,291 1,001,292

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 821,001
Square (n²): 1,002,561,638,400
Cube (n³): 1,003,844,917,297,152,000
Divisor count: 112
σ(n) — sum of divisors: 3,657,600
φ(n) — Euler's totient: 227,328
Sum of prime factors: 176

Primality

Prime factorization: 2 ⁶ × 3 × 5 × 7 × 149

Nearest primes: 1,001,279 (−1) · 1,001,291 (+11)

Divisors & multiples

All divisors (112)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 140 · 149 · 160 · 168 · 192 · 210 · 224 · 240 · 280 · 298 · 320 · 336 · 420 · 447 · 448 · 480 · 560 · 596 · 672 · 745 · 840 · 894 · 960 · 1043 · 1120 · 1192 · 1344 · 1490 · 1680 · 1788 · 2086 · 2235 · 2240 · 2384 · 2980 · 3129 · 3360 · 3576 · 4172 · 4470 · 4768 · 5215 · 5960 · 6258 · 6720 · 7152 · 8344 · 8940 · 9536 · 10430 · 11920 · 12516 · 14304 · 15645 · 16688 · 17880 · 20860 · 23840 · 25032 · 28608 · 31290 · 33376 · 35760 · 41720 · 47680 · 50064 · 62580 · 66752 · 71520 · 83440 · 100128 · 125160 · 143040 · 166880 · 200256 · 250320 · 333760 · 500640 (half) · 1001280

Aliquot sum (sum of proper divisors): 2,656,320

Factor pairs (a × b = 1,001,280)

1 × 1001280

2 × 500640

3 × 333760

4 × 250320

5 × 200256

6 × 166880

7 × 143040

8 × 125160

10 × 100128

12 × 83440

14 × 71520

15 × 66752

16 × 62580

20 × 50064

21 × 47680

24 × 41720

28 × 35760

30 × 33376

32 × 31290

35 × 28608

40 × 25032

42 × 23840

48 × 20860

56 × 17880

60 × 16688

64 × 15645

70 × 14304

80 × 12516

84 × 11920

96 × 10430

105 × 9536

112 × 8940

120 × 8344

140 × 7152

149 × 6720

160 × 6258

168 × 5960

192 × 5215

210 × 4768

224 × 4470

240 × 4172

280 × 3576

298 × 3360

320 × 3129

336 × 2980

420 × 2384

447 × 2240

448 × 2235

480 × 2086

560 × 1788

596 × 1680

672 × 1490

745 × 1344

840 × 1192

894 × 1120

960 × 1043

First multiples

1,001,280 · 2,002,560 (double) · 3,003,840 · 4,005,120 · 5,006,400 · 6,007,680 · 7,008,960 · 8,010,240 · 9,011,520 · 10,012,800

Sums & aliquot sequence

As consecutive integers: 333,759 + 333,760 + 333,761 200,254 + 200,255 + 200,256 + 200,257 + 200,258 143,037 + 143,038 + … + 143,043 66,745 + 66,746 + … + 66,759

Aliquot sequence: 1,001,280 → 2,656,320 → 5,780,544 → 15,287,232 → 25,160,744 → 28,755,256 → 26,178,944 → 30,718,696 → 28,229,144 → 24,858,256 → 23,527,536 → 38,670,864 → 61,917,936 → 103,726,224 → 236,549,616 → 374,537,016 → 784,745,784 — unresolved within range

Continued fraction of √n

√1,001,280 = [1000; (1, 1, 1, 3, 2, 7, 2, 1, 1, 1, 5, 1, 1, 1, 2, 7, 2, 3, 1, 1, 1, 2000)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million one thousand two hundred eighty
Ordinal: 1001280th
Binary: 11110100011101000000
Octal: 3643500
Hexadecimal: 0xF4740
Base64: D0dA
One's complement: 4,293,966,015 (32-bit)
Scientific notation: 1.00128 × 10⁶
As a duration: 1,001,280 s = 11 days, 14 hours, 8 minutes

In other bases

ternary (3) 1212212111110

quaternary (4) 3310131000

quinary (5) 224020110

senary (6) 33243320

septenary (7) 11340120

nonary (9) 1785443

undecimal (11) 624305

duodecimal (12) 403540

tridecimal (13) 290997

tetradecimal (14) 1c0c80

pentadecimal (15) 14ba20

As an angle

1,001,280° = 2,781 × 360° + 120°

120° ≈ 2.094 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千二百八十
Chinese (financial): 壹佰萬壹仟貳佰捌拾

In other modern scripts

Eastern Arabic ١٠٠١٢٨٠ Devanagari १००१२८० Bengali ১০০১২৮০ Tamil ௧௦௦௧௨௮௦ Thai ๑๐๐๑๒๘๐ Tibetan ༡༠༠༡༢༨༠ Khmer ១០០១២៨០ Lao ໑໐໐໑໒໘໐ Burmese ၁၀၀၁၂၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001280, here are decompositions:

13 + 1001267 = 1001280
43 + 1001237 = 1001280
61 + 1001219 = 1001280
83 + 1001197 = 1001280
89 + 1001191 = 1001280
103 + 1001177 = 1001280
107 + 1001173 = 1001280
127 + 1001153 = 1001280

Showing the first eight; more decompositions exist.

Hex color

#0F4740

RGB(15, 71, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.64.

Address: 0.15.71.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.64

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 1,001,280 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 US1,001,280 on Google Patents ↗ Look up on USPTO ↗