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1,064,020

1,064,020 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.).

1,064,020 (one million sixty-four thousand twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 53,201. Its proper divisors sum to 1,170,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103C54.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
204,601
Square (n²)
1,132,138,560,400
Cube (n³)
1,204,618,071,036,808,000
Divisor count
12
σ(n) — sum of divisors
2,234,484
φ(n) — Euler's totient
425,600
Sum of prime factors
53,210

Primality

Prime factorization: 2 2 × 5 × 53201

Nearest primes: 1,064,017 (−3) · 1,064,029 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 53201 · 106402 · 212804 · 266005 · 532010 (half) · 1064020
Aliquot sum (sum of proper divisors): 1,170,464
Factor pairs (a × b = 1,064,020)
1 × 1064020
2 × 532010
4 × 266005
5 × 212804
10 × 106402
20 × 53201
First multiples
1,064,020 · 2,128,040 (double) · 3,192,060 · 4,256,080 · 5,320,100 · 6,384,120 · 7,448,140 · 8,512,160 · 9,576,180 · 10,640,200

Sums & aliquot sequence

As a sum of two squares: 228² + 1,006² = 668² + 786²
As consecutive integers: 212,802 + 212,803 + 212,804 + 212,805 + 212,806 132,999 + 133,000 + … + 133,006 26,581 + 26,582 + … + 26,620
Aliquot sequence: 1,064,020 → 1,170,464 → 1,168,096 → 1,155,848 → 1,011,382 → 505,694 → 383,362 → 281,918 → 238,882 → 176,990 → 170,770 → 136,634 → 72,346 → 38,138 → 19,072 → 19,178 → 10,390 — unresolved within range

Continued fraction of √n

√1,064,020 = [1031; (1, 1, 18, 11, 1, 2, 108, 4, 4, 1, 3, 2, 1, 6, 14, 5, 1, 1, 1, 4, 3, 1, 20, 13, …)]

Representations

In words
one million sixty-four thousand twenty
Ordinal
1064020th
Binary
100000011110001010100
Octal
4036124
Hexadecimal
0x103C54
Base64
EDxU
One's complement
4,293,903,275 (32-bit)
Scientific notation
1.06402 × 10⁶
As a duration
1,064,020 s = 12 days, 7 hours, 33 minutes, 40 seconds
In other bases
ternary (3) 2000001120011
quaternary (4) 10003301110
quinary (5) 233022040
senary (6) 34450004
septenary (7) 12021046
nonary (9) 2001504
undecimal (11) 667461
duodecimal (12) 433904
tridecimal (13) 2b33c9
tetradecimal (14) 1d9a96
pentadecimal (15) 1603ea

As an angle

1,064,020° = 2,955 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆
Chinese
一百零六萬四千零二十
Chinese (financial)
壹佰零陸萬肆仟零貳拾
In other modern scripts
Eastern Arabic ١٠٦٤٠٢٠ Devanagari १०६४०२० Bengali ১০৬৪০২০ Tamil ௧௦௬௪௦௨௦ Thai ๑๐๖๔๐๒๐ Tibetan ༡༠༦༤༠༢༠ Khmer ១០៦៤០២០ Lao ໑໐໖໔໐໒໐ Burmese ၁၀၆၄၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064020, here are decompositions:

  • 3 + 1064017 = 1064020
  • 47 + 1063973 = 1064020
  • 53 + 1063967 = 1064020
  • 59 + 1063961 = 1064020
  • 101 + 1063919 = 1064020
  • 107 + 1063913 = 1064020
  • 149 + 1063871 = 1064020
  • 173 + 1063847 = 1064020

Showing the first eight; more decompositions exist.

Hex color
#103C54
RGB(16, 60, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.60.84.

Address
0.16.60.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.60.84

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 6, 4020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4020-06-01 (DMMYYYY (Euro, single-digit day))
  • 4020-10-06 (MMDYYYY (US, single-digit day))
  • 4020-06-10 (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 1,064,020 and was likely granted around 1913.

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°.