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1,010,880

1,010,880 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.).

1,010,880 (one million ten thousand eight hundred eighty) is an even 7-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3⁵ × 5 × 13. Its proper divisors sum to 2,872,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6CC0.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence 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
880,101
Flips to (rotate 180°)
880,101
Recamán's sequence
a(360,375) = 1,010,880
Square (n²)
1,021,878,374,400
Cube (n³)
1,032,996,411,113,472,000
Divisor count
168
σ(n) — sum of divisors
3,883,152
φ(n) — Euler's totient
248,832
Sum of prime factors
45

Primality

Prime factorization: 2 6 × 3 5 × 5 × 13

Nearest primes: 1,010,861 (−19) · 1,010,881 (+1)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 26 · 27 · 30 · 32 · 36 · 39 · 40 · 45 · 48 · 52 · 54 · 60 · 64 · 65 · 72 · 78 · 80 · 81 · 90 · 96 · 104 · 108 · 117 · 120 · 130 · 135 · 144 · 156 · 160 · 162 · 180 · 192 · 195 · 208 · 216 · 234 · 240 · 243 · 260 · 270 · 288 · 312 · 320 · 324 · 351 · 360 · 390 · 405 · 416 · 432 · 468 · 480 · 486 · 520 · 540 · 576 · 585 · 624 · 648 · 702 · 720 · 780 · 810 · 832 · 864 · 936 · 960 · 972 · 1040 · 1053 · 1080 · 1170 · 1215 · 1248 · 1296 · 1404 · 1440 · 1560 · 1620 · 1728 · 1755 · 1872 · 1944 · 2080 · 2106 · 2160 · 2340 · 2430 · 2496 · 2592 · 2808 · 2880 · 3120 · 3159 · 3240 · 3510 · 3744 · 3888 · 4160 · 4212 · 4320 · 4680 · 4860 · 5184 · 5265 · 5616 · 6240 · 6318 · 6480 · 7020 · 7488 · 7776 · 8424 · 8640 · 9360 · 9720 · 10530 · 11232 · 12480 · 12636 · 12960 · 14040 · 15552 · 15795 · 16848 · 18720 · 19440 · 21060 · 22464 · 25272 · 25920 · 28080 · 31590 · 33696 · 37440 · 38880 · 42120 · 50544 · 56160 · 63180 · 67392 · 77760 · 84240 · 101088 · 112320 · 126360 · 168480 · 202176 · 252720 · 336960 · 505440 (half) · 1010880
Aliquot sum (sum of proper divisors): 2,872,272
Factor pairs (a × b = 1,010,880)
1 × 1010880
2 × 505440
3 × 336960
4 × 252720
5 × 202176
6 × 168480
8 × 126360
9 × 112320
10 × 101088
12 × 84240
13 × 77760
15 × 67392
16 × 63180
18 × 56160
20 × 50544
24 × 42120
26 × 38880
27 × 37440
30 × 33696
32 × 31590
36 × 28080
39 × 25920
40 × 25272
45 × 22464
48 × 21060
52 × 19440
54 × 18720
60 × 16848
64 × 15795
65 × 15552
72 × 14040
78 × 12960
80 × 12636
81 × 12480
90 × 11232
96 × 10530
104 × 9720
108 × 9360
117 × 8640
120 × 8424
130 × 7776
135 × 7488
144 × 7020
156 × 6480
160 × 6318
162 × 6240
180 × 5616
192 × 5265
195 × 5184
208 × 4860
216 × 4680
234 × 4320
240 × 4212
243 × 4160
260 × 3888
270 × 3744
288 × 3510
312 × 3240
320 × 3159
324 × 3120
351 × 2880
360 × 2808
390 × 2592
405 × 2496
416 × 2430
432 × 2340
468 × 2160
480 × 2106
486 × 2080
520 × 1944
540 × 1872
576 × 1755
585 × 1728
624 × 1620
648 × 1560
702 × 1440
720 × 1404
780 × 1296
810 × 1248
832 × 1215
864 × 1170
936 × 1080
960 × 1053
972 × 1040
First multiples
1,010,880 · 2,021,760 (double) · 3,032,640 · 4,043,520 · 5,054,400 · 6,065,280 · 7,076,160 · 8,087,040 · 9,097,920 · 10,108,800

Sums & aliquot sequence

As consecutive integers: 336,959 + 336,960 + 336,961 202,174 + 202,175 + 202,176 + 202,177 + 202,178 112,316 + 112,317 + … + 112,324 77,754 + 77,755 + … + 77,766
Aliquot sequence: 1,010,880 2,872,272 5,120,272 5,323,008 9,393,792 17,044,608 37,888,512 69,060,000 157,667,424 257,274,768 415,369,680 1,022,395,440 2,500,879,056 4,797,320,496 8,172,682,704 15,319,910,896 — keeps growing

Continued fraction of √n

√1,010,880 = [1005; (2, 2, 1, 5, 2, 30, 1, 23, 1, 5, 1, 501, 1, 5, 1, 23, 1, 30, 2, 5, 1, 2, 2, 2010)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand eight hundred eighty
Ordinal
1010880th
Binary
11110110110011000000
Octal
3666300
Hexadecimal
0xF6CC0
Base64
D2zA
One's complement
4,293,956,415 (32-bit)
Scientific notation
1.01088 × 10⁶
As a duration
1,010,880 s = 11 days, 16 hours, 48 minutes
In other bases
ternary (3) 1220100200000
quaternary (4) 3312303000
quinary (5) 224322010
senary (6) 33400000
septenary (7) 11410113
nonary (9) 1810600
undecimal (11) 630542
duodecimal (12) 409000
tridecimal (13) 295170
tetradecimal (14) 1c457a
pentadecimal (15) 14e7c0

As an angle

1,010,880° = 2,808 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零一萬零八百八十
Chinese (financial)
壹佰零壹萬零捌佰捌拾
In other modern scripts
Eastern Arabic ١٠١٠٨٨٠ Devanagari १०१०८८० Bengali ১০১০৮৮০ Tamil ௧௦௧௦௮௮௦ Thai ๑๐๑๐๘๘๐ Tibetan ༡༠༡༠༨༨༠ Khmer ១០១០៨៨០ Lao ໑໐໑໐໘໘໐ Burmese ၁၀၁၀၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010880, here are decompositions:

  • 19 + 1010861 = 1010880
  • 37 + 1010843 = 1010880
  • 47 + 1010833 = 1010880
  • 71 + 1010809 = 1010880
  • 83 + 1010797 = 1010880
  • 89 + 1010791 = 1010880
  • 97 + 1010783 = 1010880
  • 109 + 1010771 = 1010880

Showing the first eight; more decompositions exist.

Hex color
#0F6CC0
RGB(15, 108, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.108.192.

Address
0.15.108.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.108.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 0880 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0880-10-01 (MMDYYYY (US, single-digit day))
  • 0880-01-10 (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 1,010,880 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°.