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1,005,480

1,005,480 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.).

1,005,480 (one million five thousand four hundred eighty) is an even 7-digit number. It is a composite number with 192 divisors, and factors as 2³ × 3³ × 5 × 7² × 19. Its proper divisors sum to 3,098,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF57A8.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
845,001
Square (n²)
1,010,990,030,400
Cube (n³)
1,016,530,255,766,592,000
Divisor count
192
σ(n) — sum of divisors
4,104,000
φ(n) — Euler's totient
217,728
Sum of prime factors
53

Primality

Prime factorization: 2 3 × 3 3 × 5 × 7 2 × 19

Nearest primes: 1,005,467 (−13) · 1,005,481 (+1)

Divisors & multiples

All divisors (192)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 19 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 38 · 40 · 42 · 45 · 49 · 54 · 56 · 57 · 60 · 63 · 70 · 72 · 76 · 84 · 90 · 95 · 98 · 105 · 108 · 114 · 120 · 126 · 133 · 135 · 140 · 147 · 152 · 168 · 171 · 180 · 189 · 190 · 196 · 210 · 216 · 228 · 245 · 252 · 266 · 270 · 280 · 285 · 294 · 315 · 342 · 360 · 378 · 380 · 392 · 399 · 420 · 441 · 456 · 490 · 504 · 513 · 532 · 540 · 570 · 588 · 630 · 665 · 684 · 735 · 756 · 760 · 798 · 840 · 855 · 882 · 931 · 945 · 980 · 1026 · 1064 · 1080 · 1140 · 1176 · 1197 · 1260 · 1323 · 1330 · 1368 · 1470 · 1512 · 1596 · 1710 · 1764 · 1862 · 1890 · 1960 · 1995 · 2052 · 2205 · 2280 · 2394 · 2520 · 2565 · 2646 · 2660 · 2793 · 2940 · 3192 · 3420 · 3528 · 3591 · 3724 · 3780 · 3990 · 4104 · 4410 · 4655 · 4788 · 5130 · 5292 · 5320 · 5586 · 5880 · 5985 · 6615 · 6840 · 7182 · 7448 · 7560 · 7980 · 8379 · 8820 · 9310 · 9576 · 10260 · 10584 · 11172 · 11970 · 13230 · 13965 · 14364 · 15960 · 16758 · 17640 · 17955 · 18620 · 20520 · 22344 · 23940 · 25137 · 26460 · 27930 · 28728 · 33516 · 35910 · 37240 · 41895 · 47880 · 50274 · 52920 · 55860 · 67032 · 71820 · 83790 · 100548 · 111720 · 125685 · 143640 · 167580 · 201096 · 251370 · 335160 · 502740 (half) · 1005480
Aliquot sum (sum of proper divisors): 3,098,520
Factor pairs (a × b = 1,005,480)
1 × 1005480
2 × 502740
3 × 335160
4 × 251370
5 × 201096
6 × 167580
7 × 143640
8 × 125685
9 × 111720
10 × 100548
12 × 83790
14 × 71820
15 × 67032
18 × 55860
19 × 52920
20 × 50274
21 × 47880
24 × 41895
27 × 37240
28 × 35910
30 × 33516
35 × 28728
36 × 27930
38 × 26460
40 × 25137
42 × 23940
45 × 22344
49 × 20520
54 × 18620
56 × 17955
57 × 17640
60 × 16758
63 × 15960
70 × 14364
72 × 13965
76 × 13230
84 × 11970
90 × 11172
95 × 10584
98 × 10260
105 × 9576
108 × 9310
114 × 8820
120 × 8379
126 × 7980
133 × 7560
135 × 7448
140 × 7182
147 × 6840
152 × 6615
168 × 5985
171 × 5880
180 × 5586
189 × 5320
190 × 5292
196 × 5130
210 × 4788
216 × 4655
228 × 4410
245 × 4104
252 × 3990
266 × 3780
270 × 3724
280 × 3591
285 × 3528
294 × 3420
315 × 3192
342 × 2940
360 × 2793
378 × 2660
380 × 2646
392 × 2565
399 × 2520
420 × 2394
441 × 2280
456 × 2205
490 × 2052
504 × 1995
513 × 1960
532 × 1890
540 × 1862
570 × 1764
588 × 1710
630 × 1596
665 × 1512
684 × 1470
735 × 1368
756 × 1330
760 × 1323
798 × 1260
840 × 1197
855 × 1176
882 × 1140
931 × 1080
945 × 1064
980 × 1026
First multiples
1,005,480 · 2,010,960 (double) · 3,016,440 · 4,021,920 · 5,027,400 · 6,032,880 · 7,038,360 · 8,043,840 · 9,049,320 · 10,054,800

Sums & aliquot sequence

As consecutive integers: 335,159 + 335,160 + 335,161 201,094 + 201,095 + 201,096 + 201,097 + 201,098 143,637 + 143,638 + … + 143,643 111,716 + 111,717 + … + 111,724
Aliquot sequence: 1,005,480 3,098,520 7,845,480 20,608,920 53,522,280 148,878,360 334,977,480 762,164,280 1,723,954,680 4,679,314,920 13,556,211,480 — keeps growing

Continued fraction of √n

√1,005,480 = [1002; (1, 2, 1, 3, 1, 3, 1, 15, 1, 3, 1, 1, 1, 1, 5, 40, 1, 2, 1, 222, 12, 4, 2, 6, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one million five thousand four hundred eighty
Ordinal
1005480th
Binary
11110101011110101000
Octal
3653650
Hexadecimal
0xF57A8
Base64
D1eo
One's complement
4,293,961,815 (32-bit)
Scientific notation
1.00548 × 10⁶
As a duration
1,005,480 s = 11 days, 15 hours, 18 minutes
In other bases
ternary (3) 1220002021000
quaternary (4) 3311132220
quinary (5) 224133410
senary (6) 33315000
septenary (7) 11355300
nonary (9) 1802230
undecimal (11) 627483
duodecimal (12) 405a60
tridecimal (13) 292878
tetradecimal (14) 1c2600
pentadecimal (15) 14cdc0

As an angle

1,005,480° = 2,793 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百萬五千四百八十
Chinese (financial)
壹佰萬伍仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٠٥٤٨٠ Devanagari १००५४८० Bengali ১০০৫৪৮০ Tamil ௧௦௦௫௪௮௦ Thai ๑๐๐๕๔๘๐ Tibetan ༡༠༠༥༤༨༠ Khmer ១០០៥៤៨០ Lao ໑໐໐໕໔໘໐ Burmese ၁၀၀၅၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005480, here are decompositions:

  • 13 + 1005467 = 1005480
  • 23 + 1005457 = 1005480
  • 41 + 1005439 = 1005480
  • 43 + 1005437 = 1005480
  • 53 + 1005427 = 1005480
  • 67 + 1005413 = 1005480
  • 71 + 1005409 = 1005480
  • 89 + 1005391 = 1005480

Showing the first eight; more decompositions exist.

Hex color
#0F57A8
RGB(15, 87, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.168.

Address
0.15.87.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.87.168

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 1,005,480 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.