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1,028,160

1,028,160 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.).

1,028,160 (one million twenty-eight thousand one hundred sixty) is an even 7-digit number. It is a composite number with 224 divisors, and factors as 2⁶ × 3³ × 5 × 7 × 17. Its proper divisors sum to 3,360,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB040.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable 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
618,201
Square (n²)
1,057,112,985,600
Cube (n³)
1,086,881,287,274,496,000
Divisor count
224
σ(n) — sum of divisors
4,389,120
φ(n) — Euler's totient
221,184
Sum of prime factors
50

Primality

Prime factorization: 2 6 × 3 3 × 5 × 7 × 17

Nearest primes: 1,028,149 (−11) · 1,028,189 (+29)

Divisors & multiples

All divisors (224)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 17 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 32 · 34 · 35 · 36 · 40 · 42 · 45 · 48 · 51 · 54 · 56 · 60 · 63 · 64 · 68 · 70 · 72 · 80 · 84 · 85 · 90 · 96 · 102 · 105 · 108 · 112 · 119 · 120 · 126 · 135 · 136 · 140 · 144 · 153 · 160 · 168 · 170 · 180 · 189 · 192 · 204 · 210 · 216 · 224 · 238 · 240 · 252 · 255 · 270 · 272 · 280 · 288 · 306 · 315 · 320 · 336 · 340 · 357 · 360 · 378 · 408 · 420 · 432 · 448 · 459 · 476 · 480 · 504 · 510 · 540 · 544 · 560 · 576 · 595 · 612 · 630 · 672 · 680 · 714 · 720 · 756 · 765 · 816 · 840 · 864 · 918 · 945 · 952 · 960 · 1008 · 1020 · 1071 · 1080 · 1088 · 1120 · 1190 · 1224 · 1260 · 1344 · 1360 · 1428 · 1440 · 1512 · 1530 · 1632 · 1680 · 1728 · 1785 · 1836 · 1890 · 1904 · 2016 · 2040 · 2142 · 2160 · 2240 · 2295 · 2380 · 2448 · 2520 · 2720 · 2856 · 2880 · 3024 · 3060 · 3213 · 3264 · 3360 · 3570 · 3672 · 3780 · 3808 · 4032 · 4080 · 4284 · 4320 · 4590 · 4760 · 4896 · 5040 · 5355 · 5440 · 5712 · 6048 · 6120 · 6426 · 6720 · 7140 · 7344 · 7560 · 7616 · 8160 · 8568 · 8640 · 9180 · 9520 · 9792 · 10080 · 10710 · 11424 · 12096 · 12240 · 12852 · 14280 · 14688 · 15120 · 16065 · 16320 · 17136 · 18360 · 19040 · 20160 · 21420 · 22848 · 24480 · 25704 · 28560 · 29376 · 30240 · 32130 · 34272 · 36720 · 38080 · 42840 · 48960 · 51408 · 57120 · 60480 · 64260 · 68544 · 73440 · 85680 · 102816 · 114240 · 128520 · 146880 · 171360 · 205632 · 257040 · 342720 · 514080 (half) · 1028160
Aliquot sum (sum of proper divisors): 3,360,960
Factor pairs (a × b = 1,028,160)
1 × 1028160
2 × 514080
3 × 342720
4 × 257040
5 × 205632
6 × 171360
7 × 146880
8 × 128520
9 × 114240
10 × 102816
12 × 85680
14 × 73440
15 × 68544
16 × 64260
17 × 60480
18 × 57120
20 × 51408
21 × 48960
24 × 42840
27 × 38080
28 × 36720
30 × 34272
32 × 32130
34 × 30240
35 × 29376
36 × 28560
40 × 25704
42 × 24480
45 × 22848
48 × 21420
51 × 20160
54 × 19040
56 × 18360
60 × 17136
63 × 16320
64 × 16065
68 × 15120
70 × 14688
72 × 14280
80 × 12852
84 × 12240
85 × 12096
90 × 11424
96 × 10710
102 × 10080
105 × 9792
108 × 9520
112 × 9180
119 × 8640
120 × 8568
126 × 8160
135 × 7616
136 × 7560
140 × 7344
144 × 7140
153 × 6720
160 × 6426
168 × 6120
170 × 6048
180 × 5712
189 × 5440
192 × 5355
204 × 5040
210 × 4896
216 × 4760
224 × 4590
238 × 4320
240 × 4284
252 × 4080
255 × 4032
270 × 3808
272 × 3780
280 × 3672
288 × 3570
306 × 3360
315 × 3264
320 × 3213
336 × 3060
340 × 3024
357 × 2880
360 × 2856
378 × 2720
408 × 2520
420 × 2448
432 × 2380
448 × 2295
459 × 2240
476 × 2160
480 × 2142
504 × 2040
510 × 2016
540 × 1904
544 × 1890
560 × 1836
576 × 1785
595 × 1728
612 × 1680
630 × 1632
672 × 1530
680 × 1512
714 × 1440
720 × 1428
756 × 1360
765 × 1344
816 × 1260
840 × 1224
864 × 1190
918 × 1120
945 × 1088
952 × 1080
960 × 1071
1008 × 1020
First multiples
1,028,160 · 2,056,320 (double) · 3,084,480 · 4,112,640 · 5,140,800 · 6,168,960 · 7,197,120 · 8,225,280 · 9,253,440 · 10,281,600

Sums & aliquot sequence

As consecutive integers: 342,719 + 342,720 + 342,721 205,630 + 205,631 + 205,632 + 205,633 + 205,634 146,877 + 146,878 + … + 146,883 114,236 + 114,237 + … + 114,244
Aliquot sequence: 1,028,160 3,360,960 8,526,240 21,665,376 39,946,356 61,609,644 94,125,936 159,607,824 254,829,936 415,908,384 722,917,920 1,554,275,040 3,347,217,696 5,863,317,792 9,604,132,752 15,278,087,184 — keeps growing

Continued fraction of √n

√1,028,160 = [1013; (1, 55, 3, 224, 1, 505, 1, 224, 3, 55, 1, 2026)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million twenty-eight thousand one hundred sixty
Ordinal
1028160th
Binary
11111011000001000000
Octal
3730100
Hexadecimal
0xFB040
Base64
D7BA
One's complement
4,293,939,135 (32-bit)
Scientific notation
1.02816 × 10⁶
As a duration
1,028,160 s = 11 days, 21 hours, 36 minutes
In other bases
ternary (3) 1221020101000
quaternary (4) 3323001000
quinary (5) 230400120
senary (6) 34012000
septenary (7) 11511360
nonary (9) 1836330
undecimal (11) 642521
duodecimal (12) 417000
tridecimal (13) 29cca3
tetradecimal (14) 1ca9a0
pentadecimal (15) 154990

As an angle

1,028,160° = 2,856 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零二萬八千一百六十
Chinese (financial)
壹佰零貳萬捌仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٠٢٨١٦٠ Devanagari १०२८१६० Bengali ১০২৮১৬০ Tamil ௧௦௨௮௧௬௦ Thai ๑๐๒๘๑๖๐ Tibetan ༡༠༢༨༡༦༠ Khmer ១០២៨១៦០ Lao ໑໐໒໘໑໖໐ Burmese ၁၀၂၈၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028160, here are decompositions:

  • 11 + 1028149 = 1028160
  • 19 + 1028141 = 1028160
  • 31 + 1028129 = 1028160
  • 43 + 1028117 = 1028160
  • 47 + 1028113 = 1028160
  • 53 + 1028107 = 1028160
  • 59 + 1028101 = 1028160
  • 61 + 1028099 = 1028160

Showing the first eight; more decompositions exist.

Hex color
#0FB040
RGB(15, 176, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.176.64.

Address
0.15.176.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.176.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 8160 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8160-02-01 (DMMYYYY (Euro, single-digit day))
  • 8160-10-02 (MMDYYYY (US, single-digit day))
  • 8160-02-10 (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 1,028,160 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°.