number.wiki
Live analysis

1,050,060

1,050,060 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.).

1,050,060 (one million fifty thousand sixty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 11 × 37 × 43. Its proper divisors sum to 2,320,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1005CC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
600,501
Square (n²)
1,102,626,003,600
Cube (n³)
1,157,823,461,340,216,000
Divisor count
96
σ(n) — sum of divisors
3,370,752
φ(n) — Euler's totient
241,920
Sum of prime factors
103

Primality

Prime factorization: 2 2 × 3 × 5 × 11 × 37 × 43

Nearest primes: 1,050,053 (−7) · 1,050,079 (+19)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 37 · 43 · 44 · 55 · 60 · 66 · 74 · 86 · 110 · 111 · 129 · 132 · 148 · 165 · 172 · 185 · 215 · 220 · 222 · 258 · 330 · 370 · 407 · 430 · 444 · 473 · 516 · 555 · 645 · 660 · 740 · 814 · 860 · 946 · 1110 · 1221 · 1290 · 1419 · 1591 · 1628 · 1892 · 2035 · 2220 · 2365 · 2442 · 2580 · 2838 · 3182 · 4070 · 4730 · 4773 · 4884 · 5676 · 6105 · 6364 · 7095 · 7955 · 8140 · 9460 · 9546 · 12210 · 14190 · 15910 · 17501 · 19092 · 23865 · 24420 · 28380 · 31820 · 35002 · 47730 · 52503 · 70004 · 87505 · 95460 · 105006 · 175010 · 210012 · 262515 · 350020 · 525030 (half) · 1050060
Aliquot sum (sum of proper divisors): 2,320,692
Factor pairs (a × b = 1,050,060)
1 × 1050060
2 × 525030
3 × 350020
4 × 262515
5 × 210012
6 × 175010
10 × 105006
11 × 95460
12 × 87505
15 × 70004
20 × 52503
22 × 47730
30 × 35002
33 × 31820
37 × 28380
43 × 24420
44 × 23865
55 × 19092
60 × 17501
66 × 15910
74 × 14190
86 × 12210
110 × 9546
111 × 9460
129 × 8140
132 × 7955
148 × 7095
165 × 6364
172 × 6105
185 × 5676
215 × 4884
220 × 4773
222 × 4730
258 × 4070
330 × 3182
370 × 2838
407 × 2580
430 × 2442
444 × 2365
473 × 2220
516 × 2035
555 × 1892
645 × 1628
660 × 1591
740 × 1419
814 × 1290
860 × 1221
946 × 1110
First multiples
1,050,060 · 2,100,120 (double) · 3,150,180 · 4,200,240 · 5,250,300 · 6,300,360 · 7,350,420 · 8,400,480 · 9,450,540 · 10,500,600

Sums & aliquot sequence

As consecutive integers: 350,019 + 350,020 + 350,021 210,010 + 210,011 + 210,012 + 210,013 + 210,014 131,254 + 131,255 + … + 131,261 95,455 + 95,456 + … + 95,465
Aliquot sequence: 1,050,060 2,320,692 3,586,860 7,293,828 9,725,132 7,293,856 7,152,548 6,404,380 7,044,860 7,846,996 6,801,260 7,481,428 6,466,772 6,252,844 5,531,460 13,035,900 26,683,780 — unresolved within range

Continued fraction of √n

√1,050,060 = [1024; (1, 2, 1, 1, 1, 2, 5, 6, 1, 9, 1, 1, 2, 8, 1, 1, 4, 5, 2, 5, 4, 1, 1, 8, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million fifty thousand sixty
Ordinal
1050060th
Binary
100000000010111001100
Octal
4002714
Hexadecimal
0x1005CC
Base64
EAXM
One's complement
4,293,917,235 (32-bit)
Scientific notation
1.05006 × 10⁶
As a duration
1,050,060 s = 12 days, 3 hours, 41 minutes
In other bases
ternary (3) 1222100102010
quaternary (4) 10000113030
quinary (5) 232100220
senary (6) 34301220
septenary (7) 11632254
nonary (9) 1870363
undecimal (11) 657a20
duodecimal (12) 427810
tridecimal (13) 2a9c4b
tetradecimal (14) 1d4964
pentadecimal (15) 15b1e0

As an angle

1,050,060° = 2,916 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬零六十
Chinese (financial)
壹佰零伍萬零陸拾
In other modern scripts
Eastern Arabic ١٠٥٠٠٦٠ Devanagari १०५००६० Bengali ১০৫০০৬০ Tamil ௧௦௫௦௦௬௦ Thai ๑๐๕๐๐๖๐ Tibetan ༡༠༥༠༠༦༠ Khmer ១០៥០០៦០ Lao ໑໐໕໐໐໖໐ Burmese ၁၀၅၀၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050060, here are decompositions:

  • 7 + 1050053 = 1050060
  • 19 + 1050041 = 1050060
  • 29 + 1050031 = 1050060
  • 47 + 1050013 = 1050060
  • 61 + 1049999 = 1050060
  • 83 + 1049977 = 1050060
  • 97 + 1049963 = 1050060
  • 107 + 1049953 = 1050060

Showing the first eight; more decompositions exist.

Hex color
#1005CC
RGB(16, 5, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.204.

Address
0.16.5.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.5.204

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 0060 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0060-05-01 (DMMYYYY (Euro, single-digit day))
  • 0060-10-05 (MMDYYYY (US, single-digit day))
  • 0060-05-10 (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 1,050,060 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°.