number.wiki
Live analysis

1,026,480

1,026,480 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.).

1,026,480 (one million twenty-six thousand four hundred eighty) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3 × 5 × 7 × 13 × 47. Its proper divisors sum to 2,973,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA9B0.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
846,201
Square (n²)
1,053,661,190,400
Cube (n³)
1,081,562,138,721,792,000
Divisor count
160
σ(n) — sum of divisors
3,999,744
φ(n) — Euler's totient
211,968
Sum of prime factors
83

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 13 × 47

Nearest primes: 1,026,479 (−1) · 1,026,481 (+1)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 13 · 14 · 15 · 16 · 20 · 21 · 24 · 26 · 28 · 30 · 35 · 39 · 40 · 42 · 47 · 48 · 52 · 56 · 60 · 65 · 70 · 78 · 80 · 84 · 91 · 94 · 104 · 105 · 112 · 120 · 130 · 140 · 141 · 156 · 168 · 182 · 188 · 195 · 208 · 210 · 235 · 240 · 260 · 273 · 280 · 282 · 312 · 329 · 336 · 364 · 376 · 390 · 420 · 455 · 470 · 520 · 546 · 560 · 564 · 611 · 624 · 658 · 705 · 728 · 752 · 780 · 840 · 910 · 940 · 987 · 1040 · 1092 · 1128 · 1222 · 1316 · 1365 · 1410 · 1456 · 1560 · 1645 · 1680 · 1820 · 1833 · 1880 · 1974 · 2184 · 2256 · 2444 · 2632 · 2730 · 2820 · 3055 · 3120 · 3290 · 3640 · 3666 · 3760 · 3948 · 4277 · 4368 · 4888 · 4935 · 5264 · 5460 · 5640 · 6110 · 6580 · 7280 · 7332 · 7896 · 8554 · 9165 · 9776 · 9870 · 10920 · 11280 · 12220 · 12831 · 13160 · 14664 · 15792 · 17108 · 18330 · 19740 · 21385 · 21840 · 24440 · 25662 · 26320 · 29328 · 34216 · 36660 · 39480 · 42770 · 48880 · 51324 · 64155 · 68432 · 73320 · 78960 · 85540 · 102648 · 128310 · 146640 · 171080 · 205296 · 256620 · 342160 · 513240 (half) · 1026480
Aliquot sum (sum of proper divisors): 2,973,264
Factor pairs (a × b = 1,026,480)
1 × 1026480
2 × 513240
3 × 342160
4 × 256620
5 × 205296
6 × 171080
7 × 146640
8 × 128310
10 × 102648
12 × 85540
13 × 78960
14 × 73320
15 × 68432
16 × 64155
20 × 51324
21 × 48880
24 × 42770
26 × 39480
28 × 36660
30 × 34216
35 × 29328
39 × 26320
40 × 25662
42 × 24440
47 × 21840
48 × 21385
52 × 19740
56 × 18330
60 × 17108
65 × 15792
70 × 14664
78 × 13160
80 × 12831
84 × 12220
91 × 11280
94 × 10920
104 × 9870
105 × 9776
112 × 9165
120 × 8554
130 × 7896
140 × 7332
141 × 7280
156 × 6580
168 × 6110
182 × 5640
188 × 5460
195 × 5264
208 × 4935
210 × 4888
235 × 4368
240 × 4277
260 × 3948
273 × 3760
280 × 3666
282 × 3640
312 × 3290
329 × 3120
336 × 3055
364 × 2820
376 × 2730
390 × 2632
420 × 2444
455 × 2256
470 × 2184
520 × 1974
546 × 1880
560 × 1833
564 × 1820
611 × 1680
624 × 1645
658 × 1560
705 × 1456
728 × 1410
752 × 1365
780 × 1316
840 × 1222
910 × 1128
940 × 1092
987 × 1040
First multiples
1,026,480 · 2,052,960 (double) · 3,079,440 · 4,105,920 · 5,132,400 · 6,158,880 · 7,185,360 · 8,211,840 · 9,238,320 · 10,264,800

Sums & aliquot sequence

As consecutive integers: 342,159 + 342,160 + 342,161 205,294 + 205,295 + 205,296 + 205,297 + 205,298 146,637 + 146,638 + … + 146,643 78,954 + 78,955 + … + 78,966
Aliquot sequence: 1,026,480 2,973,264 5,805,936 11,158,752 20,798,880 44,719,104 74,481,800 98,688,850 114,422,510 91,538,026 45,820,118 22,910,062 17,732,498 13,052,782 6,802,370 5,441,914 2,780,954 — unresolved within range

Continued fraction of √n

√1,026,480 = [1013; (6, 1, 1, 16, 4, 1, 4, 3, 1, 1, 1, 1, 1, 4, 1, 125, 1, 4, 1, 1, 1, 1, 1, 3, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million twenty-six thousand four hundred eighty
Ordinal
1026480th
Binary
11111010100110110000
Octal
3724660
Hexadecimal
0xFA9B0
Base64
D6mw
One's complement
4,293,940,815 (32-bit)
Scientific notation
1.02648 × 10⁶
As a duration
1,026,480 s = 11 days, 21 hours, 8 minutes
In other bases
ternary (3) 1221011001210
quaternary (4) 3322212300
quinary (5) 230321410
senary (6) 34000120
septenary (7) 11503440
nonary (9) 1834053
undecimal (11) 641234
duodecimal (12) 416040
tridecimal (13) 29c2b0
tetradecimal (14) 1ca120
pentadecimal (15) 154220

As an angle

1,026,480° = 2,851 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零二萬六千四百八十
Chinese (financial)
壹佰零貳萬陸仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٢٦٤٨٠ Devanagari १०२६४८० Bengali ১০২৬৪৮০ Tamil ௧௦௨௬௪௮௦ Thai ๑๐๒๖๔๘๐ Tibetan ༡༠༢༦༤༨༠ Khmer ១០២៦៤៨០ Lao ໑໐໒໖໔໘໐ Burmese ၁၀၂၆၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1026480, here are decompositions:

  • 23 + 1026457 = 1026480
  • 31 + 1026449 = 1026480
  • 41 + 1026439 = 1026480
  • 53 + 1026427 = 1026480
  • 67 + 1026413 = 1026480
  • 73 + 1026407 = 1026480
  • 79 + 1026401 = 1026480
  • 89 + 1026391 = 1026480

Showing the first eight; more decompositions exist.

Hex color
#0FA9B0
RGB(15, 169, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.169.176.

Address
0.15.169.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.169.176

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 6480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6480-02-01 (DMMYYYY (Euro, single-digit day))
  • 6480-10-02 (MMDYYYY (US, single-digit day))
  • 6480-02-10 (DDMYYYY (Euro, single-digit month))
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 1,026,480 and was likely granted around 1912.

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°.