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1,059,520

1,059,520 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.).

1,059,520 (one million fifty-nine thousand five hundred twenty) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 5 × 7 × 11 × 43. Its proper divisors sum to 2,159,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102AC0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
259,501
Square (n²)
1,122,582,630,400
Cube (n³)
1,189,398,748,561,408,000
Divisor count
112
σ(n) — sum of divisors
3,218,688
φ(n) — Euler's totient
322,560
Sum of prime factors
78

Primality

Prime factorization: 2 6 × 5 × 7 × 11 × 43

Nearest primes: 1,059,517 (−3) · 1,059,547 (+27)

Divisors & multiples

All divisors (112)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 16 · 20 · 22 · 28 · 32 · 35 · 40 · 43 · 44 · 55 · 56 · 64 · 70 · 77 · 80 · 86 · 88 · 110 · 112 · 140 · 154 · 160 · 172 · 176 · 215 · 220 · 224 · 280 · 301 · 308 · 320 · 344 · 352 · 385 · 430 · 440 · 448 · 473 · 560 · 602 · 616 · 688 · 704 · 770 · 860 · 880 · 946 · 1120 · 1204 · 1232 · 1376 · 1505 · 1540 · 1720 · 1760 · 1892 · 2240 · 2365 · 2408 · 2464 · 2752 · 3010 · 3080 · 3311 · 3440 · 3520 · 3784 · 4730 · 4816 · 4928 · 6020 · 6160 · 6622 · 6880 · 7568 · 9460 · 9632 · 12040 · 12320 · 13244 · 13760 · 15136 · 16555 · 18920 · 19264 · 24080 · 24640 · 26488 · 30272 · 33110 · 37840 · 48160 · 52976 · 66220 · 75680 · 96320 · 105952 · 132440 · 151360 · 211904 · 264880 · 529760 (half) · 1059520
Aliquot sum (sum of proper divisors): 2,159,168
Factor pairs (a × b = 1,059,520)
1 × 1059520
2 × 529760
4 × 264880
5 × 211904
7 × 151360
8 × 132440
10 × 105952
11 × 96320
14 × 75680
16 × 66220
20 × 52976
22 × 48160
28 × 37840
32 × 33110
35 × 30272
40 × 26488
43 × 24640
44 × 24080
55 × 19264
56 × 18920
64 × 16555
70 × 15136
77 × 13760
80 × 13244
86 × 12320
88 × 12040
110 × 9632
112 × 9460
140 × 7568
154 × 6880
160 × 6622
172 × 6160
176 × 6020
215 × 4928
220 × 4816
224 × 4730
280 × 3784
301 × 3520
308 × 3440
320 × 3311
344 × 3080
352 × 3010
385 × 2752
430 × 2464
440 × 2408
448 × 2365
473 × 2240
560 × 1892
602 × 1760
616 × 1720
688 × 1540
704 × 1505
770 × 1376
860 × 1232
880 × 1204
946 × 1120
First multiples
1,059,520 · 2,119,040 (double) · 3,178,560 · 4,238,080 · 5,297,600 · 6,357,120 · 7,416,640 · 8,476,160 · 9,535,680 · 10,595,200

Sums & aliquot sequence

As consecutive integers: 211,902 + 211,903 + 211,904 + 211,905 + 211,906 151,357 + 151,358 + … + 151,363 96,315 + 96,316 + … + 96,325 30,255 + 30,256 + … + 30,289
Aliquot sequence: 1,059,520 → 2,159,168 → 2,516,464 → 2,359,216 → 2,211,796 → 1,732,256 → 1,678,186 → 849,878 → 424,942 → 312,338 → 206,278 → 121,394 → 120,526 → 86,114 → 61,534 → 39,194 → 19,600 — unresolved within range

Continued fraction of √n

√1,059,520 = [1029; (3, 31, 1, 4, 1, 513, 1, 4, 1, 31, 3, 2058)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million fifty-nine thousand five hundred twenty
Ordinal
1059520th
Binary
100000010101011000000
Octal
4025300
Hexadecimal
0x102AC0
Base64
ECrA
One's complement
4,293,907,775 (32-bit)
Scientific notation
1.05952 × 10⁶
As a duration
1,059,520 s = 12 days, 6 hours, 18 minutes, 40 seconds
In other bases
ternary (3) 1222211101111
quaternary (4) 10002223000
quinary (5) 232401040
senary (6) 34413104
septenary (7) 12001660
nonary (9) 1884344
undecimal (11) 664040
duodecimal (12) 431194
tridecimal (13) 2b1347
tetradecimal (14) 1d81a0
pentadecimal (15) 15ddea

As an angle

1,059,520° = 2,943 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬九千五百二十
Chinese (financial)
壹佰零伍萬玖仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٩٥٢٠ Devanagari १०५९५२० Bengali ১০৫৯৫২০ Tamil ௧௦௫௯௫௨௦ Thai ๑๐๕๙๕๒๐ Tibetan ༡༠༥༩༥༢༠ Khmer ១០៥៩៥២០ Lao ໑໐໕໙໕໒໐ Burmese ၁၀၅၉၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059520, here are decompositions:

  • 3 + 1059517 = 1059520
  • 17 + 1059503 = 1059520
  • 41 + 1059479 = 1059520
  • 53 + 1059467 = 1059520
  • 83 + 1059437 = 1059520
  • 101 + 1059419 = 1059520
  • 107 + 1059413 = 1059520
  • 197 + 1059323 = 1059520

Showing the first eight; more decompositions exist.

Hex color
#102AC0
RGB(16, 42, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.42.192.

Address
0.16.42.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.42.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 9520 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9520-05-01 (DMMYYYY (Euro, single-digit day))
  • 9520-10-05 (MMDYYYY (US, single-digit day))
  • 9520-05-10 (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 1,059,520 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°.