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1,024,140

1,024,140 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.).

1,024,140 (one million twenty-four thousand one hundred forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 13² × 101. Its proper divisors sum to 2,111,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA08C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
414,201
Square (n²)
1,048,862,739,600
Cube (n³)
1,074,182,286,133,944,000
Divisor count
72
σ(n) — sum of divisors
3,135,888
φ(n) — Euler's totient
249,600
Sum of prime factors
139

Primality

Prime factorization: 2 2 × 3 × 5 × 13 2 × 101

Nearest primes: 1,024,103 (−37) · 1,024,151 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 101 · 130 · 156 · 169 · 195 · 202 · 260 · 303 · 338 · 390 · 404 · 505 · 507 · 606 · 676 · 780 · 845 · 1010 · 1014 · 1212 · 1313 · 1515 · 1690 · 2020 · 2028 · 2535 · 2626 · 3030 · 3380 · 3939 · 5070 · 5252 · 6060 · 6565 · 7878 · 10140 · 13130 · 15756 · 17069 · 19695 · 26260 · 34138 · 39390 · 51207 · 68276 · 78780 · 85345 · 102414 · 170690 · 204828 · 256035 · 341380 · 512070 (half) · 1024140
Aliquot sum (sum of proper divisors): 2,111,748
Factor pairs (a × b = 1,024,140)
1 × 1024140
2 × 512070
3 × 341380
4 × 256035
5 × 204828
6 × 170690
10 × 102414
12 × 85345
13 × 78780
15 × 68276
20 × 51207
26 × 39390
30 × 34138
39 × 26260
52 × 19695
60 × 17069
65 × 15756
78 × 13130
101 × 10140
130 × 7878
156 × 6565
169 × 6060
195 × 5252
202 × 5070
260 × 3939
303 × 3380
338 × 3030
390 × 2626
404 × 2535
505 × 2028
507 × 2020
606 × 1690
676 × 1515
780 × 1313
845 × 1212
1010 × 1014
First multiples
1,024,140 · 2,048,280 (double) · 3,072,420 · 4,096,560 · 5,120,700 · 6,144,840 · 7,168,980 · 8,193,120 · 9,217,260 · 10,241,400

Sums & aliquot sequence

As consecutive integers: 341,379 + 341,380 + 341,381 204,826 + 204,827 + 204,828 + 204,829 + 204,830 128,014 + 128,015 + … + 128,021 78,774 + 78,775 + … + 78,786
Aliquot sequence: 1,024,140 2,111,748 2,815,692 4,466,100 8,456,684 7,213,180 9,100,292 6,853,324 5,366,660 6,770,836 5,078,134 2,539,070 2,031,274 1,450,934 734,314 578,966 293,074 — unresolved within range

Continued fraction of √n

√1,024,140 = [1011; (1, 504, 1, 2022)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million twenty-four thousand one hundred forty
Ordinal
1024140th
Binary
11111010000010001100
Octal
3720214
Hexadecimal
0xFA08C
Base64
D6CM
One's complement
4,293,943,155 (32-bit)
Scientific notation
1.02414 × 10⁶
As a duration
1,024,140 s = 11 days, 20 hours, 29 minutes
In other bases
ternary (3) 1221000212010
quaternary (4) 3322002030
quinary (5) 230233030
senary (6) 33541220
septenary (7) 11463555
nonary (9) 1830763
undecimal (11) 63a4a7
duodecimal (12) 414810
tridecimal (13) 29b200
tetradecimal (14) 1c932c
pentadecimal (15) 1536b0

As an angle

1,024,140° = 2,844 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬四千一百四十
Chinese (financial)
壹佰零貳萬肆仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٠٢٤١٤٠ Devanagari १०२४१४० Bengali ১০২৪১৪০ Tamil ௧௦௨௪௧௪௦ Thai ๑๐๒๔๑๔๐ Tibetan ༡༠༢༤༡༤༠ Khmer ១០២៤១៤០ Lao ໑໐໒໔໑໔໐ Burmese ၁၀၂၄၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024140, here are decompositions:

  • 37 + 1024103 = 1024140
  • 41 + 1024099 = 1024140
  • 53 + 1024087 = 1024140
  • 67 + 1024073 = 1024140
  • 79 + 1024061 = 1024140
  • 109 + 1024031 = 1024140
  • 149 + 1023991 = 1024140
  • 163 + 1023977 = 1024140

Showing the first eight; more decompositions exist.

Hex color
#0FA08C
RGB(15, 160, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.140.

Address
0.15.160.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.160.140

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 4140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4140-02-01 (DMMYYYY (Euro, single-digit day))
  • 4140-10-02 (MMDYYYY (US, single-digit day))
  • 4140-02-10 (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 1,024,140 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°.