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1,060,800

1,060,800 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.).

1,060,800 (one million sixty thousand eight hundred) is an even 7-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3 × 5² × 13 × 17. Its proper divisors sum to 2,907,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102FC0.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
80,601
Flips to (rotate 180°)
80,901
Square (n²)
1,125,296,640,000
Cube (n³)
1,193,714,675,712,000,000
Divisor count
168
σ(n) — sum of divisors
3,968,496
φ(n) — Euler's totient
245,760
Sum of prime factors
55

Primality

Prime factorization: 2 6 × 3 × 5 2 × 13 × 17

Nearest primes: 1,060,781 (−19) · 1,060,861 (+61)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 17 · 20 · 24 · 25 · 26 · 30 · 32 · 34 · 39 · 40 · 48 · 50 · 51 · 52 · 60 · 64 · 65 · 68 · 75 · 78 · 80 · 85 · 96 · 100 · 102 · 104 · 120 · 130 · 136 · 150 · 156 · 160 · 170 · 192 · 195 · 200 · 204 · 208 · 221 · 240 · 255 · 260 · 272 · 300 · 312 · 320 · 325 · 340 · 390 · 400 · 408 · 416 · 425 · 442 · 480 · 510 · 520 · 544 · 600 · 624 · 650 · 663 · 680 · 780 · 800 · 816 · 832 · 850 · 884 · 960 · 975 · 1020 · 1040 · 1088 · 1105 · 1200 · 1248 · 1275 · 1300 · 1326 · 1360 · 1560 · 1600 · 1632 · 1700 · 1768 · 1950 · 2040 · 2080 · 2210 · 2400 · 2496 · 2550 · 2600 · 2652 · 2720 · 3120 · 3264 · 3315 · 3400 · 3536 · 3900 · 4080 · 4160 · 4420 · 4800 · 5100 · 5200 · 5304 · 5440 · 5525 · 6240 · 6630 · 6800 · 7072 · 7800 · 8160 · 8840 · 10200 · 10400 · 10608 · 11050 · 12480 · 13260 · 13600 · 14144 · 15600 · 16320 · 16575 · 17680 · 20400 · 20800 · 21216 · 22100 · 26520 · 27200 · 31200 · 33150 · 35360 · 40800 · 42432 · 44200 · 53040 · 62400 · 66300 · 70720 · 81600 · 88400 · 106080 · 132600 · 176800 · 212160 · 265200 · 353600 · 530400 (half) · 1060800
Aliquot sum (sum of proper divisors): 2,907,696
Factor pairs (a × b = 1,060,800)
1 × 1060800
2 × 530400
3 × 353600
4 × 265200
5 × 212160
6 × 176800
8 × 132600
10 × 106080
12 × 88400
13 × 81600
15 × 70720
16 × 66300
17 × 62400
20 × 53040
24 × 44200
25 × 42432
26 × 40800
30 × 35360
32 × 33150
34 × 31200
39 × 27200
40 × 26520
48 × 22100
50 × 21216
51 × 20800
52 × 20400
60 × 17680
64 × 16575
65 × 16320
68 × 15600
75 × 14144
78 × 13600
80 × 13260
85 × 12480
96 × 11050
100 × 10608
102 × 10400
104 × 10200
120 × 8840
130 × 8160
136 × 7800
150 × 7072
156 × 6800
160 × 6630
170 × 6240
192 × 5525
195 × 5440
200 × 5304
204 × 5200
208 × 5100
221 × 4800
240 × 4420
255 × 4160
260 × 4080
272 × 3900
300 × 3536
312 × 3400
320 × 3315
325 × 3264
340 × 3120
390 × 2720
400 × 2652
408 × 2600
416 × 2550
425 × 2496
442 × 2400
480 × 2210
510 × 2080
520 × 2040
544 × 1950
600 × 1768
624 × 1700
650 × 1632
663 × 1600
680 × 1560
780 × 1360
800 × 1326
816 × 1300
832 × 1275
850 × 1248
884 × 1200
960 × 1105
975 × 1088
1020 × 1040
First multiples
1,060,800 · 2,121,600 (double) · 3,182,400 · 4,243,200 · 5,304,000 · 6,364,800 · 7,425,600 · 8,486,400 · 9,547,200 · 10,608,000

Sums & aliquot sequence

As consecutive integers: 353,599 + 353,600 + 353,601 212,158 + 212,159 + 212,160 + 212,161 + 212,162 81,594 + 81,595 + … + 81,606 70,713 + 70,714 + … + 70,727
Aliquot sequence: 1,060,800 → 2,907,696 → 5,288,208 → 8,968,320 → 23,244,300 → 51,490,500 → 98,454,204 → 158,925,380 → 181,711,420 → 234,573,428 → 194,428,684 → 146,033,900 → 184,642,852 → 145,070,420 → 188,875,948 → 146,590,764 → 195,454,380 — unresolved within range

Continued fraction of √n

√1,060,800 = [1029; (1, 19, 1, 1, 2, 81, 1, 513, 1, 81, 2, 1, 1, 19, 1, 2058)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million sixty thousand eight hundred
Ordinal
1060800th
Binary
100000010111111000000
Octal
4027700
Hexadecimal
0x102FC0
Base64
EC/A
One's complement
4,293,906,495 (32-bit)
Scientific notation
1.0608 × 10⁶
As a duration
1,060,800 s = 12 days, 6 hours, 40 minutes
In other bases
ternary (3) 1222220010220
quaternary (4) 10002333000
quinary (5) 232421200
senary (6) 34423040
septenary (7) 12005466
nonary (9) 1886126
undecimal (11) 664aa4
duodecimal (12) 431a80
tridecimal (13) 2b1ac0
tetradecimal (14) 1d8836
pentadecimal (15) 15e4a0

As an angle

1,060,800° = 2,946 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零六萬零八百
Chinese (financial)
壹佰零陸萬零捌佰
In other modern scripts
Eastern Arabic ١٠٦٠٨٠٠ Devanagari १०६०८०० Bengali ১০৬০৮০০ Tamil ௧௦௬௦௮௦௦ Thai ๑๐๖๐๘๐๐ Tibetan ༡༠༦༠༨༠༠ Khmer ១០៦០៨០០ Lao ໑໐໖໐໘໐໐ Burmese ၁၀၆၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1060800, here are decompositions:

  • 19 + 1060781 = 1060800
  • 23 + 1060777 = 1060800
  • 31 + 1060769 = 1060800
  • 53 + 1060747 = 1060800
  • 61 + 1060739 = 1060800
  • 79 + 1060721 = 1060800
  • 113 + 1060687 = 1060800
  • 127 + 1060673 = 1060800

Showing the first eight; more decompositions exist.

Hex color
#102FC0
RGB(16, 47, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.47.192.

Address
0.16.47.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.47.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 6, 0800 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0800-06-01 (DMMYYYY (Euro, single-digit day))
  • 0800-10-06 (MMDYYYY (US, single-digit day))
  • 0800-06-10 (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 1,060,800 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°.