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1,020,720

1,020,720 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.).

1,020,720 (one million twenty thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,253. Its proper divisors sum to 2,144,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9330.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
270,201
Square (n²)
1,041,869,318,400
Cube (n³)
1,063,456,850,677,248,000
Divisor count
40
σ(n) — sum of divisors
3,164,976
φ(n) — Euler's totient
272,128
Sum of prime factors
4,269

Primality

Prime factorization: 2 4 × 3 × 5 × 4253

Nearest primes: 1,020,709 (−11) · 1,020,743 (+23)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4253 · 8506 · 12759 · 17012 · 21265 · 25518 · 34024 · 42530 · 51036 · 63795 · 68048 · 85060 · 102072 · 127590 · 170120 · 204144 · 255180 · 340240 · 510360 (half) · 1020720
Aliquot sum (sum of proper divisors): 2,144,256
Factor pairs (a × b = 1,020,720)
1 × 1020720
2 × 510360
3 × 340240
4 × 255180
5 × 204144
6 × 170120
8 × 127590
10 × 102072
12 × 85060
15 × 68048
16 × 63795
20 × 51036
24 × 42530
30 × 34024
40 × 25518
48 × 21265
60 × 17012
80 × 12759
120 × 8506
240 × 4253
First multiples
1,020,720 · 2,041,440 (double) · 3,062,160 · 4,082,880 · 5,103,600 · 6,124,320 · 7,145,040 · 8,165,760 · 9,186,480 · 10,207,200

Sums & aliquot sequence

As consecutive integers: 340,239 + 340,240 + 340,241 204,142 + 204,143 + 204,144 + 204,145 + 204,146 68,041 + 68,042 + … + 68,055 31,882 + 31,883 + … + 31,913
Aliquot sequence: 1,020,720 2,144,256 3,588,744 5,383,176 8,074,824 12,250,296 22,077,504 41,205,326 20,602,666 14,716,214 7,358,110 6,665,906 4,801,102 2,400,554 1,513,174 931,226 575,374 — unresolved within range

Continued fraction of √n

√1,020,720 = [1010; (3, 3, 1, 6, 1, 1, 4, 3, 10, 3, 1, 2, 1, 1, 1, 1, 5, 1, 7, 1, 2, 2, 17, 1, …)]

Representations

In words
one million twenty thousand seven hundred twenty
Ordinal
1020720th
Binary
11111001001100110000
Octal
3711460
Hexadecimal
0xF9330
Base64
D5Mw
One's complement
4,293,946,575 (32-bit)
Scientific notation
1.02072 × 10⁶
As a duration
1,020,720 s = 11 days, 19 hours, 32 minutes
In other bases
ternary (3) 1220212011110
quaternary (4) 3321030300
quinary (5) 230130340
senary (6) 33513320
septenary (7) 11450601
nonary (9) 1825143
undecimal (11) 637978
duodecimal (12) 412840
tridecimal (13) 29979c
tetradecimal (14) 1c7da8
pentadecimal (15) 152680

As an angle

1,020,720° = 2,835 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零二萬零七百二十
Chinese (financial)
壹佰零貳萬零柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٠٧٢٠ Devanagari १०२०७२० Bengali ১০২০৭২০ Tamil ௧௦௨௦௭௨௦ Thai ๑๐๒๐๗๒๐ Tibetan ༡༠༢༠༧༢༠ Khmer ១០២០៧២០ Lao ໑໐໒໐໗໒໐ Burmese ၁၀၂၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020720, here are decompositions:

  • 11 + 1020709 = 1020720
  • 13 + 1020707 = 1020720
  • 31 + 1020689 = 1020720
  • 37 + 1020683 = 1020720
  • 53 + 1020667 = 1020720
  • 89 + 1020631 = 1020720
  • 101 + 1020619 = 1020720
  • 131 + 1020589 = 1020720

Showing the first eight; more decompositions exist.

Hex color
#0F9330
RGB(15, 147, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.147.48.

Address
0.15.147.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.147.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 0720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0720-02-01 (DMMYYYY (Euro, single-digit day))
  • 0720-10-02 (MMDYYYY (US, single-digit day))
  • 0720-02-10 (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 1,020,720 and was likely granted around 1911.

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°.