number.wiki
Live analysis

1,059,840

1,059,840 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.).

1,059,840 (one million fifty-nine thousand eight hundred forty) is an even 7-digit number. It is a composite number with 132 divisors, and factors as 2¹⁰ × 3² × 5 × 23. Its proper divisors sum to 2,772,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102C00.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
489,501
Square (n²)
1,123,260,825,600
Cube (n³)
1,190,476,753,403,904,000
Divisor count
132
σ(n) — sum of divisors
3,831,984
φ(n) — Euler's totient
270,336
Sum of prime factors
54

Primality

Prime factorization: 2 10 × 3 2 × 5 × 23

Nearest primes: 1,059,833 (−7) · 1,059,847 (+7)

Divisors & multiples

All divisors (132)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 23 · 24 · 30 · 32 · 36 · 40 · 45 · 46 · 48 · 60 · 64 · 69 · 72 · 80 · 90 · 92 · 96 · 115 · 120 · 128 · 138 · 144 · 160 · 180 · 184 · 192 · 207 · 230 · 240 · 256 · 276 · 288 · 320 · 345 · 360 · 368 · 384 · 414 · 460 · 480 · 512 · 552 · 576 · 640 · 690 · 720 · 736 · 768 · 828 · 920 · 960 · 1024 · 1035 · 1104 · 1152 · 1280 · 1380 · 1440 · 1472 · 1536 · 1656 · 1840 · 1920 · 2070 · 2208 · 2304 · 2560 · 2760 · 2880 · 2944 · 3072 · 3312 · 3680 · 3840 · 4140 · 4416 · 4608 · 5120 · 5520 · 5760 · 5888 · 6624 · 7360 · 7680 · 8280 · 8832 · 9216 · 11040 · 11520 · 11776 · 13248 · 14720 · 15360 · 16560 · 17664 · 22080 · 23040 · 23552 · 26496 · 29440 · 33120 · 35328 · 44160 · 46080 · 52992 · 58880 · 66240 · 70656 · 88320 · 105984 · 117760 · 132480 · 176640 · 211968 · 264960 · 353280 · 529920 (half) · 1059840
Aliquot sum (sum of proper divisors): 2,772,144
Factor pairs (a × b = 1,059,840)
1 × 1059840
2 × 529920
3 × 353280
4 × 264960
5 × 211968
6 × 176640
8 × 132480
9 × 117760
10 × 105984
12 × 88320
15 × 70656
16 × 66240
18 × 58880
20 × 52992
23 × 46080
24 × 44160
30 × 35328
32 × 33120
36 × 29440
40 × 26496
45 × 23552
46 × 23040
48 × 22080
60 × 17664
64 × 16560
69 × 15360
72 × 14720
80 × 13248
90 × 11776
92 × 11520
96 × 11040
115 × 9216
120 × 8832
128 × 8280
138 × 7680
144 × 7360
160 × 6624
180 × 5888
184 × 5760
192 × 5520
207 × 5120
230 × 4608
240 × 4416
256 × 4140
276 × 3840
288 × 3680
320 × 3312
345 × 3072
360 × 2944
368 × 2880
384 × 2760
414 × 2560
460 × 2304
480 × 2208
512 × 2070
552 × 1920
576 × 1840
640 × 1656
690 × 1536
720 × 1472
736 × 1440
768 × 1380
828 × 1280
920 × 1152
960 × 1104
1024 × 1035
First multiples
1,059,840 · 2,119,680 (double) · 3,179,520 · 4,239,360 · 5,299,200 · 6,359,040 · 7,418,880 · 8,478,720 · 9,538,560 · 10,598,400

Sums & aliquot sequence

As consecutive integers: 353,279 + 353,280 + 353,281 211,966 + 211,967 + 211,968 + 211,969 + 211,970 117,756 + 117,757 + … + 117,764 70,649 + 70,650 + … + 70,663
Aliquot sequence: 1,059,840 → 2,772,144 → 5,893,968 → 10,819,248 → 20,702,544 → 34,508,208 → 70,691,408 → 71,442,352 → 71,443,344 → 158,383,216 → 158,384,208 → 263,977,648 → 311,985,488 → 311,986,480 → 494,461,904 → 494,462,896 → 507,060,304 — unresolved within range

Continued fraction of √n

√1,059,840 = [1029; (2, 16, 1, 1, 14, 1, 2, 1, 4, 31, 1, 24, 2, 4, 1, 1, 5, 5, 2, 1, 1, 128, 10, 1, …)]

Representations

In words
one million fifty-nine thousand eight hundred forty
Ordinal
1059840th
Binary
100000010110000000000
Octal
4026000
Hexadecimal
0x102C00
Base64
ECwA
One's complement
4,293,907,455 (32-bit)
Scientific notation
1.05984 × 10⁶
As a duration
1,059,840 s = 12 days, 6 hours, 24 minutes
In other bases
ternary (3) 1222211211100
quaternary (4) 10002300000
quinary (5) 232403330
senary (6) 34414400
septenary (7) 12002625
nonary (9) 1884740
undecimal (11) 664301
duodecimal (12) 431400
tridecimal (13) 2b1532
tetradecimal (14) 1d834c
pentadecimal (15) 15e060

As an angle

1,059,840° = 2,944 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬九千八百四十
Chinese (financial)
壹佰零伍萬玖仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٩٨٤٠ Devanagari १०५९८४० Bengali ১০৫৯৮৪০ Tamil ௧௦௫௯௮௪௦ Thai ๑๐๕๙๘๔๐ Tibetan ༡༠༥༩༨༤༠ Khmer ១០៥៩៨៤០ Lao ໑໐໕໙໘໔໐ Burmese ၁၀၅၉၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059840, here are decompositions:

  • 7 + 1059833 = 1059840
  • 17 + 1059823 = 1059840
  • 53 + 1059787 = 1059840
  • 71 + 1059769 = 1059840
  • 83 + 1059757 = 1059840
  • 97 + 1059743 = 1059840
  • 107 + 1059733 = 1059840
  • 127 + 1059713 = 1059840

Showing the first eight; more decompositions exist.

Hex color
#102C00
RGB(16, 44, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.44.0.

Address
0.16.44.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.44.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 9840 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9840-05-01 (DMMYYYY (Euro, single-digit day))
  • 9840-10-05 (MMDYYYY (US, single-digit day))
  • 9840-05-10 (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 1,059,840 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°.