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1,059,168

1,059,168 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.).

1,059,168 (one million fifty-nine thousand one hundred sixty-eight) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 11 × 17 × 59. Its proper divisors sum to 2,206,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102960.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
8,619,501
Square (n²)
1,121,836,852,224
Cube (n³)
1,188,213,695,096,389,632
Divisor count
96
σ(n) — sum of divisors
3,265,920
φ(n) — Euler's totient
296,960
Sum of prime factors
100

Primality

Prime factorization: 2 5 × 3 × 11 × 17 × 59

Nearest primes: 1,059,161 (−7) · 1,059,169 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 17 · 22 · 24 · 32 · 33 · 34 · 44 · 48 · 51 · 59 · 66 · 68 · 88 · 96 · 102 · 118 · 132 · 136 · 176 · 177 · 187 · 204 · 236 · 264 · 272 · 352 · 354 · 374 · 408 · 472 · 528 · 544 · 561 · 649 · 708 · 748 · 816 · 944 · 1003 · 1056 · 1122 · 1298 · 1416 · 1496 · 1632 · 1888 · 1947 · 2006 · 2244 · 2596 · 2832 · 2992 · 3009 · 3894 · 4012 · 4488 · 5192 · 5664 · 5984 · 6018 · 7788 · 8024 · 8976 · 10384 · 11033 · 12036 · 15576 · 16048 · 17952 · 20768 · 22066 · 24072 · 31152 · 32096 · 33099 · 44132 · 48144 · 62304 · 66198 · 88264 · 96288 · 132396 · 176528 · 264792 · 353056 · 529584 (half) · 1059168
Aliquot sum (sum of proper divisors): 2,206,752
Factor pairs (a × b = 1,059,168)
1 × 1059168
2 × 529584
3 × 353056
4 × 264792
6 × 176528
8 × 132396
11 × 96288
12 × 88264
16 × 66198
17 × 62304
22 × 48144
24 × 44132
32 × 33099
33 × 32096
34 × 31152
44 × 24072
48 × 22066
51 × 20768
59 × 17952
66 × 16048
68 × 15576
88 × 12036
96 × 11033
102 × 10384
118 × 8976
132 × 8024
136 × 7788
176 × 6018
177 × 5984
187 × 5664
204 × 5192
236 × 4488
264 × 4012
272 × 3894
352 × 3009
354 × 2992
374 × 2832
408 × 2596
472 × 2244
528 × 2006
544 × 1947
561 × 1888
649 × 1632
708 × 1496
748 × 1416
816 × 1298
944 × 1122
1003 × 1056
First multiples
1,059,168 · 2,118,336 (double) · 3,177,504 · 4,236,672 · 5,295,840 · 6,355,008 · 7,414,176 · 8,473,344 · 9,532,512 · 10,591,680

Sums & aliquot sequence

As consecutive integers: 353,055 + 353,056 + 353,057 96,283 + 96,284 + … + 96,293 62,296 + 62,297 + … + 62,312 32,080 + 32,081 + … + 32,112
Aliquot sequence: 1,059,168 → 2,206,752 → 3,663,840 → 8,583,360 → 18,671,856 → 37,419,792 → 59,248,128 → 107,950,992 → 180,542,448 → 354,454,560 → 865,003,680 → 2,086,826,292 → 3,337,312,428 → 5,419,134,656 → 6,444,193,408 → 6,397,867,712 → 6,760,866,448 — unresolved within range

Continued fraction of √n

√1,059,168 = [1029; (6, 3, 2, 2, 63, 1, 10, 3, 1, 3, 1, 513, 1, 3, 1, 3, 10, 1, 63, 2, 2, 3, 6, 2058)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million fifty-nine thousand one hundred sixty-eight
Ordinal
1059168th
Binary
100000010100101100000
Octal
4024540
Hexadecimal
0x102960
Base64
EClg
One's complement
4,293,908,127 (32-bit)
Scientific notation
1.059168 × 10⁶
As a duration
1,059,168 s = 12 days, 6 hours, 12 minutes, 48 seconds
In other bases
ternary (3) 1222210220110
quaternary (4) 10002211200
quinary (5) 232343133
senary (6) 34411320
septenary (7) 12000645
nonary (9) 1883813
undecimal (11) 663850
duodecimal (12) 430b40
tridecimal (13) 2b1136
tetradecimal (14) 1d7dcc
pentadecimal (15) 15dc63

As an angle

1,059,168° = 2,942 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬九千一百六十八
Chinese (financial)
壹佰零伍萬玖仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٥٩١٦٨ Devanagari १०५९१६८ Bengali ১০৫৯১৬৮ Tamil ௧௦௫௯௧௬௮ Thai ๑๐๕๙๑๖๘ Tibetan ༡༠༥༩༡༦༨ Khmer ១០៥៩១៦៨ Lao ໑໐໕໙໑໖໘ Burmese ၁၀၅၉၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059168, here are decompositions:

  • 7 + 1059161 = 1059168
  • 31 + 1059137 = 1059168
  • 37 + 1059131 = 1059168
  • 101 + 1059067 = 1059168
  • 107 + 1059061 = 1059168
  • 109 + 1059059 = 1059168
  • 139 + 1059029 = 1059168
  • 151 + 1059017 = 1059168

Showing the first eight; more decompositions exist.

Hex color
#102960
RGB(16, 41, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.41.96.

Address
0.16.41.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.41.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 9168 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9168-05-01 (DMMYYYY (Euro, single-digit day))
  • 9168-10-05 (MMDYYYY (US, single-digit day))
  • 9168-05-10 (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 1,059,168 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1059168 first appears in π at position 533,596 of the decimal expansion (the 533,596ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.