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1,060,020

1,060,020 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.).

1,060,020 (one million sixty thousand twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 5 × 13 × 151. Its proper divisors sum to 2,515,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102CB4.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
200,601
Square (n²)
1,123,642,400,400
Cube (n³)
1,191,083,417,272,008,000
Divisor count
96
σ(n) — sum of divisors
3,575,040
φ(n) — Euler's totient
259,200
Sum of prime factors
182

Primality

Prime factorization: 2 2 × 3 3 × 5 × 13 × 151

Nearest primes: 1,060,019 (−1) · 1,060,021 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 27 · 30 · 36 · 39 · 45 · 52 · 54 · 60 · 65 · 78 · 90 · 108 · 117 · 130 · 135 · 151 · 156 · 180 · 195 · 234 · 260 · 270 · 302 · 351 · 390 · 453 · 468 · 540 · 585 · 604 · 702 · 755 · 780 · 906 · 1170 · 1359 · 1404 · 1510 · 1755 · 1812 · 1963 · 2265 · 2340 · 2718 · 3020 · 3510 · 3926 · 4077 · 4530 · 5436 · 5889 · 6795 · 7020 · 7852 · 8154 · 9060 · 9815 · 11778 · 13590 · 16308 · 17667 · 19630 · 20385 · 23556 · 27180 · 29445 · 35334 · 39260 · 40770 · 53001 · 58890 · 70668 · 81540 · 88335 · 106002 · 117780 · 176670 · 212004 · 265005 · 353340 · 530010 (half) · 1060020
Aliquot sum (sum of proper divisors): 2,515,020
Factor pairs (a × b = 1,060,020)
1 × 1060020
2 × 530010
3 × 353340
4 × 265005
5 × 212004
6 × 176670
9 × 117780
10 × 106002
12 × 88335
13 × 81540
15 × 70668
18 × 58890
20 × 53001
26 × 40770
27 × 39260
30 × 35334
36 × 29445
39 × 27180
45 × 23556
52 × 20385
54 × 19630
60 × 17667
65 × 16308
78 × 13590
90 × 11778
108 × 9815
117 × 9060
130 × 8154
135 × 7852
151 × 7020
156 × 6795
180 × 5889
195 × 5436
234 × 4530
260 × 4077
270 × 3926
302 × 3510
351 × 3020
390 × 2718
453 × 2340
468 × 2265
540 × 1963
585 × 1812
604 × 1755
702 × 1510
755 × 1404
780 × 1359
906 × 1170
First multiples
1,060,020 · 2,120,040 (double) · 3,180,060 · 4,240,080 · 5,300,100 · 6,360,120 · 7,420,140 · 8,480,160 · 9,540,180 · 10,600,200

Sums & aliquot sequence

As consecutive integers: 353,339 + 353,340 + 353,341 212,002 + 212,003 + 212,004 + 212,005 + 212,006 132,499 + 132,500 + … + 132,506 117,776 + 117,777 + … + 117,784
Aliquot sequence: 1,060,020 → 2,515,020 → 4,597,428 → 7,518,732 → 11,374,884 → 18,115,836 → 25,612,884 → 45,017,676 → 80,780,724 → 123,415,086 → 124,843,938 → 134,998,878 → 173,958,306 → 184,836,702 → 185,017,650 → 279,015,150 → 431,658,114 — unresolved within range

Continued fraction of √n

√1,060,020 = [1029; (1, 1, 2, 1, 15, 228, 1, 2, 1, 2, 2, 2, 1, 2, 1, 228, 15, 1, 2, 1, 1, 2058)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one million sixty thousand twenty
Ordinal
1060020th
Binary
100000010110010110100
Octal
4026264
Hexadecimal
0x102CB4
Base64
ECy0
One's complement
4,293,907,275 (32-bit)
Scientific notation
1.06002 × 10⁶
As a duration
1,060,020 s = 12 days, 6 hours, 27 minutes
In other bases
ternary (3) 1222212002000
quaternary (4) 10002302310
quinary (5) 232410040
senary (6) 34415300
septenary (7) 12003303
nonary (9) 1885060
undecimal (11) 664455
duodecimal (12) 431530
tridecimal (13) 2b1640
tetradecimal (14) 1d843a
pentadecimal (15) 15e130

As an angle

1,060,020° = 2,944 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆
Chinese
一百零六萬零二十
Chinese (financial)
壹佰零陸萬零貳拾
In other modern scripts
Eastern Arabic ١٠٦٠٠٢٠ Devanagari १०६००२० Bengali ১০৬০০২০ Tamil ௧௦௬௦௦௨௦ Thai ๑๐๖๐๐๒๐ Tibetan ༡༠༦༠༠༢༠ Khmer ១០៦០០២០ Lao ໑໐໖໐໐໒໐ Burmese ၁၀၆၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1060020, here are decompositions:

  • 11 + 1060009 = 1060020
  • 79 + 1059941 = 1060020
  • 83 + 1059937 = 1060020
  • 89 + 1059931 = 1060020
  • 97 + 1059923 = 1060020
  • 127 + 1059893 = 1060020
  • 131 + 1059889 = 1060020
  • 149 + 1059871 = 1060020

Showing the first eight; more decompositions exist.

Hex color
#102CB4
RGB(16, 44, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.44.180.

Address
0.16.44.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.44.180

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 0020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0020-06-01 (DMMYYYY (Euro, single-digit day))
  • 0020-10-06 (MMDYYYY (US, single-digit day))
  • 0020-06-10 (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 1,060,020 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°.