number.wiki
Live analysis

1,021,720

1,021,720 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.).

1,021,720 (one million twenty-one thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 41 × 89. Its proper divisors sum to 1,699,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9718.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
271,201
Square (n²)
1,043,911,758,400
Cube (n³)
1,066,585,521,792,448,000
Divisor count
64
σ(n) — sum of divisors
2,721,600
φ(n) — Euler's totient
337,920
Sum of prime factors
148

Primality

Prime factorization: 2 3 × 5 × 7 × 41 × 89

Nearest primes: 1,021,711 (−9) · 1,021,747 (+27)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 41 · 56 · 70 · 82 · 89 · 140 · 164 · 178 · 205 · 280 · 287 · 328 · 356 · 410 · 445 · 574 · 623 · 712 · 820 · 890 · 1148 · 1246 · 1435 · 1640 · 1780 · 2296 · 2492 · 2870 · 3115 · 3560 · 3649 · 4984 · 5740 · 6230 · 7298 · 11480 · 12460 · 14596 · 18245 · 24920 · 25543 · 29192 · 36490 · 51086 · 72980 · 102172 · 127715 · 145960 · 204344 · 255430 · 510860 (half) · 1021720
Aliquot sum (sum of proper divisors): 1,699,880
Factor pairs (a × b = 1,021,720)
1 × 1021720
2 × 510860
4 × 255430
5 × 204344
7 × 145960
8 × 127715
10 × 102172
14 × 72980
20 × 51086
28 × 36490
35 × 29192
40 × 25543
41 × 24920
56 × 18245
70 × 14596
82 × 12460
89 × 11480
140 × 7298
164 × 6230
178 × 5740
205 × 4984
280 × 3649
287 × 3560
328 × 3115
356 × 2870
410 × 2492
445 × 2296
574 × 1780
623 × 1640
712 × 1435
820 × 1246
890 × 1148
First multiples
1,021,720 · 2,043,440 (double) · 3,065,160 · 4,086,880 · 5,108,600 · 6,130,320 · 7,152,040 · 8,173,760 · 9,195,480 · 10,217,200

Sums & aliquot sequence

As consecutive integers: 204,342 + 204,343 + 204,344 + 204,345 + 204,346 145,957 + 145,958 + … + 145,963 63,850 + 63,851 + … + 63,865 29,175 + 29,176 + … + 29,209
Aliquot sequence: 1,021,720 1,699,880 3,017,560 5,348,840 8,656,060 13,346,564 17,498,236 19,557,860 28,355,740 40,736,612 41,504,092 41,504,148 79,576,812 158,260,788 313,859,952 700,075,152 1,628,632,944 — unresolved within range

Continued fraction of √n

√1,021,720 = [1010; (1, 4, 23, 1, 6, 1, 1, 224, 11, 4, 2, 2, 3, 18, 1, 24, 101, 24, 1, 18, 3, 2, 2, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand seven hundred twenty
Ordinal
1021720th
Binary
11111001011100011000
Octal
3713430
Hexadecimal
0xF9718
Base64
D5cY
One's complement
4,293,945,575 (32-bit)
Scientific notation
1.02172 × 10⁶
As a duration
1,021,720 s = 11 days, 19 hours, 48 minutes, 40 seconds
In other bases
ternary (3) 1220220112111
quaternary (4) 3321130120
quinary (5) 230143340
senary (6) 33522104
septenary (7) 11453530
nonary (9) 1826474
undecimal (11) 6386a7
duodecimal (12) 413334
tridecimal (13) 29a08b
tetradecimal (14) 1c84c0
pentadecimal (15) 152aea

As an angle

1,021,720° = 2,838 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零二萬一千七百二十
Chinese (financial)
壹佰零貳萬壹仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٢١٧٢٠ Devanagari १०२१७२० Bengali ১০২১৭২০ Tamil ௧௦௨௧௭௨௦ Thai ๑๐๒๑๗๒๐ Tibetan ༡༠༢༡༧༢༠ Khmer ១០២១៧២០ Lao ໑໐໒໑໗໒໐ Burmese ၁၀၂၁၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021720, here are decompositions:

  • 23 + 1021697 = 1021720
  • 47 + 1021673 = 1021720
  • 59 + 1021661 = 1021720
  • 149 + 1021571 = 1021720
  • 179 + 1021541 = 1021720
  • 233 + 1021487 = 1021720
  • 257 + 1021463 = 1021720
  • 263 + 1021457 = 1021720

Showing the first eight; more decompositions exist.

Hex color
#0F9718
RGB(15, 151, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.151.24.

Address
0.15.151.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.151.24

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 1720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1720-02-01 (DMMYYYY (Euro, single-digit day))
  • 1720-10-02 (MMDYYYY (US, single-digit day))
  • 1720-02-10 (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 1,021,720 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°.