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1,058,064

1,058,064 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.).

1,058,064 (one million fifty-eight thousand sixty-four) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 47 × 67. Its proper divisors sum to 2,179,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102510.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
4,608,501
Square (n²)
1,119,499,428,096
Cube (n³)
1,184,502,042,888,966,144
Divisor count
80
σ(n) — sum of divisors
3,237,888
φ(n) — Euler's totient
291,456
Sum of prime factors
132

Primality

Prime factorization: 2 4 × 3 × 7 × 47 × 67

Nearest primes: 1,058,059 (−5) · 1,058,077 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 47 · 48 · 56 · 67 · 84 · 94 · 112 · 134 · 141 · 168 · 188 · 201 · 268 · 282 · 329 · 336 · 376 · 402 · 469 · 536 · 564 · 658 · 752 · 804 · 938 · 987 · 1072 · 1128 · 1316 · 1407 · 1608 · 1876 · 1974 · 2256 · 2632 · 2814 · 3149 · 3216 · 3752 · 3948 · 5264 · 5628 · 6298 · 7504 · 7896 · 9447 · 11256 · 12596 · 15792 · 18894 · 22043 · 22512 · 25192 · 37788 · 44086 · 50384 · 66129 · 75576 · 88172 · 132258 · 151152 · 176344 · 264516 · 352688 · 529032 (half) · 1058064
Aliquot sum (sum of proper divisors): 2,179,824
Factor pairs (a × b = 1,058,064)
1 × 1058064
2 × 529032
3 × 352688
4 × 264516
6 × 176344
7 × 151152
8 × 132258
12 × 88172
14 × 75576
16 × 66129
21 × 50384
24 × 44086
28 × 37788
42 × 25192
47 × 22512
48 × 22043
56 × 18894
67 × 15792
84 × 12596
94 × 11256
112 × 9447
134 × 7896
141 × 7504
168 × 6298
188 × 5628
201 × 5264
268 × 3948
282 × 3752
329 × 3216
336 × 3149
376 × 2814
402 × 2632
469 × 2256
536 × 1974
564 × 1876
658 × 1608
752 × 1407
804 × 1316
938 × 1128
987 × 1072
First multiples
1,058,064 · 2,116,128 (double) · 3,174,192 · 4,232,256 · 5,290,320 · 6,348,384 · 7,406,448 · 8,464,512 · 9,522,576 · 10,580,640

Sums & aliquot sequence

As consecutive integers: 352,687 + 352,688 + 352,689 151,149 + 151,150 + … + 151,155 50,374 + 50,375 + … + 50,394 33,049 + 33,050 + … + 33,080
Aliquot sequence: 1,058,064 → 2,179,824 → 3,451,512 → 5,177,328 → 9,228,000 → 21,042,240 → 48,744,768 → 80,226,272 → 100,283,344 → 121,772,880 → 287,183,460 → 534,820,380 → 1,027,789,284 → 1,371,611,356 → 1,031,157,236 → 883,828,564 → 662,871,430 — unresolved within range

Continued fraction of √n

√1,058,064 = [1028; (1, 1, 1, 1, 1, 5, 2, 1, 22, 1, 24, 1, 3, 7, 1, 3, 1, 1, 1, 1, 1, 6, 2, 81, …)]

Representations

In words
one million fifty-eight thousand sixty-four
Ordinal
1058064th
Binary
100000010010100010000
Octal
4022420
Hexadecimal
0x102510
Base64
ECUQ
One's complement
4,293,909,231 (32-bit)
Scientific notation
1.058064 × 10⁶
As a duration
1,058,064 s = 12 days, 5 hours, 54 minutes, 24 seconds
In other bases
ternary (3) 1222202101120
quaternary (4) 10002110100
quinary (5) 232324224
senary (6) 34402240
septenary (7) 11664510
nonary (9) 1882346
undecimal (11) 662a37
duodecimal (12) 430380
tridecimal (13) 2b0797
tetradecimal (14) 1d7840
pentadecimal (15) 15d779

As an angle

1,058,064° = 2,939 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零五萬八千零六十四
Chinese (financial)
壹佰零伍萬捌仟零陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٨٠٦٤ Devanagari १०५८०६४ Bengali ১০৫৮০৬৪ Tamil ௧௦௫௮௦௬௪ Thai ๑๐๕๘๐๖๔ Tibetan ༡༠༥༨༠༦༤ Khmer ១០៥៨០៦៤ Lao ໑໐໕໘໐໖໔ Burmese ၁၀၅၈၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1058064, here are decompositions:

  • 5 + 1058059 = 1058064
  • 23 + 1058041 = 1058064
  • 37 + 1058027 = 1058064
  • 43 + 1058021 = 1058064
  • 53 + 1058011 = 1058064
  • 71 + 1057993 = 1058064
  • 83 + 1057981 = 1058064
  • 101 + 1057963 = 1058064

Showing the first eight; more decompositions exist.

Hex color
#102510
RGB(16, 37, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.37.16.

Address
0.16.37.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.37.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 8064 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8064-05-01 (DMMYYYY (Euro, single-digit day))
  • 8064-10-05 (MMDYYYY (US, single-digit day))
  • 8064-05-10 (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 1,058,064 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°.