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1,020,240

1,020,240 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.).

1,020,240 (one million twenty thousand two hundred forty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 13 × 109. Its proper divisors sum to 2,703,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9150.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
420,201
Square (n²)
1,040,889,657,600
Cube (n³)
1,061,957,264,269,824,000
Divisor count
120
σ(n) — sum of divisors
3,723,720
φ(n) — Euler's totient
248,832
Sum of prime factors
141

Primality

Prime factorization: 2 4 × 3 2 × 5 × 13 × 109

Nearest primes: 1,020,233 (−7) · 1,020,247 (+7)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 26 · 30 · 36 · 39 · 40 · 45 · 48 · 52 · 60 · 65 · 72 · 78 · 80 · 90 · 104 · 109 · 117 · 120 · 130 · 144 · 156 · 180 · 195 · 208 · 218 · 234 · 240 · 260 · 312 · 327 · 360 · 390 · 436 · 468 · 520 · 545 · 585 · 624 · 654 · 720 · 780 · 872 · 936 · 981 · 1040 · 1090 · 1170 · 1308 · 1417 · 1560 · 1635 · 1744 · 1872 · 1962 · 2180 · 2340 · 2616 · 2834 · 3120 · 3270 · 3924 · 4251 · 4360 · 4680 · 4905 · 5232 · 5668 · 6540 · 7085 · 7848 · 8502 · 8720 · 9360 · 9810 · 11336 · 12753 · 13080 · 14170 · 15696 · 17004 · 19620 · 21255 · 22672 · 25506 · 26160 · 28340 · 34008 · 39240 · 42510 · 51012 · 56680 · 63765 · 68016 · 78480 · 85020 · 102024 · 113360 · 127530 · 170040 · 204048 · 255060 · 340080 · 510120 (half) · 1020240
Aliquot sum (sum of proper divisors): 2,703,480
Factor pairs (a × b = 1,020,240)
1 × 1020240
2 × 510120
3 × 340080
4 × 255060
5 × 204048
6 × 170040
8 × 127530
9 × 113360
10 × 102024
12 × 85020
13 × 78480
15 × 68016
16 × 63765
18 × 56680
20 × 51012
24 × 42510
26 × 39240
30 × 34008
36 × 28340
39 × 26160
40 × 25506
45 × 22672
48 × 21255
52 × 19620
60 × 17004
65 × 15696
72 × 14170
78 × 13080
80 × 12753
90 × 11336
104 × 9810
109 × 9360
117 × 8720
120 × 8502
130 × 7848
144 × 7085
156 × 6540
180 × 5668
195 × 5232
208 × 4905
218 × 4680
234 × 4360
240 × 4251
260 × 3924
312 × 3270
327 × 3120
360 × 2834
390 × 2616
436 × 2340
468 × 2180
520 × 1962
545 × 1872
585 × 1744
624 × 1635
654 × 1560
720 × 1417
780 × 1308
872 × 1170
936 × 1090
981 × 1040
First multiples
1,020,240 · 2,040,480 (double) · 3,060,720 · 4,080,960 · 5,101,200 · 6,121,440 · 7,141,680 · 8,161,920 · 9,182,160 · 10,202,400

Sums & aliquot sequence

As a sum of two squares: 168² + 996² = 228² + 984² = 408² + 924² = 696² + 732²
As consecutive integers: 340,079 + 340,080 + 340,081 204,046 + 204,047 + 204,048 + 204,049 + 204,050 113,356 + 113,357 + … + 113,364 78,474 + 78,475 + … + 78,486
Aliquot sequence: 1,020,240 2,703,480 6,035,880 12,237,720 28,681,320 57,715,800 135,129,000 300,373,080 729,480,360 1,801,970,520 4,385,444,520 8,776,063,320 17,552,127,000 — keeps growing

Continued fraction of √n

√1,020,240 = [1010; (14, 2, 3, 40, 1, 15, 1, 2, 1, 1, 3, 3, 1, 1, 5, 1, 13, 5, 1, 1, 10, 31, 2, 7, …)]

Representations

In words
one million twenty thousand two hundred forty
Ordinal
1020240th
Binary
11111001000101010000
Octal
3710520
Hexadecimal
0xF9150
Base64
D5FQ
One's complement
4,293,947,055 (32-bit)
Scientific notation
1.02024 × 10⁶
As a duration
1,020,240 s = 11 days, 19 hours, 24 minutes
In other bases
ternary (3) 1220211111200
quaternary (4) 3321011100
quinary (5) 230121430
senary (6) 33511200
septenary (7) 11446314
nonary (9) 1824450
undecimal (11) 637581
duodecimal (12) 412500
tridecimal (13) 2994c0
tetradecimal (14) 1c7b44
pentadecimal (15) 152460

As an angle

1,020,240° = 2,834 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬零二百四十
Chinese (financial)
壹佰零貳萬零貳佰肆拾
In other modern scripts
Eastern Arabic ١٠٢٠٢٤٠ Devanagari १०२०२४० Bengali ১০২০২৪০ Tamil ௧௦௨௦௨௪௦ Thai ๑๐๒๐๒๔๐ Tibetan ༡༠༢༠༢༤༠ Khmer ១០២០២៤០ Lao ໑໐໒໐໒໔໐ Burmese ၁၀၂၀၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020240, here are decompositions:

  • 7 + 1020233 = 1020240
  • 17 + 1020223 = 1020240
  • 83 + 1020157 = 1020240
  • 97 + 1020143 = 1020240
  • 103 + 1020137 = 1020240
  • 127 + 1020113 = 1020240
  • 131 + 1020109 = 1020240
  • 139 + 1020101 = 1020240

Showing the first eight; more decompositions exist.

Hex color
#0F9150
RGB(15, 145, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.145.80.

Address
0.15.145.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.145.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 0240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0240-02-01 (DMMYYYY (Euro, single-digit day))
  • 0240-10-02 (MMDYYYY (US, single-digit day))
  • 0240-02-10 (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 1,020,240 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°.