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1,042,800

1,042,800 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.).

1,042,800 (one million forty-two thousand eight hundred) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5² × 11 × 79. Its proper divisors sum to 2,647,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE970.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
82,401
Square (n²)
1,087,431,840,000
Cube (n³)
1,133,973,922,752,000,000
Divisor count
120
σ(n) — sum of divisors
3,690,240
φ(n) — Euler's totient
249,600
Sum of prime factors
111

Primality

Prime factorization: 2 4 × 3 × 5 2 × 11 × 79

Nearest primes: 1,042,799 (−1) · 1,042,819 (+19)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 25 · 30 · 33 · 40 · 44 · 48 · 50 · 55 · 60 · 66 · 75 · 79 · 80 · 88 · 100 · 110 · 120 · 132 · 150 · 158 · 165 · 176 · 200 · 220 · 237 · 240 · 264 · 275 · 300 · 316 · 330 · 395 · 400 · 440 · 474 · 528 · 550 · 600 · 632 · 660 · 790 · 825 · 869 · 880 · 948 · 1100 · 1185 · 1200 · 1264 · 1320 · 1580 · 1650 · 1738 · 1896 · 1975 · 2200 · 2370 · 2607 · 2640 · 3160 · 3300 · 3476 · 3792 · 3950 · 4345 · 4400 · 4740 · 5214 · 5925 · 6320 · 6600 · 6952 · 7900 · 8690 · 9480 · 10428 · 11850 · 13035 · 13200 · 13904 · 15800 · 17380 · 18960 · 20856 · 21725 · 23700 · 26070 · 31600 · 34760 · 41712 · 43450 · 47400 · 52140 · 65175 · 69520 · 86900 · 94800 · 104280 · 130350 · 173800 · 208560 · 260700 · 347600 · 521400 (half) · 1042800
Aliquot sum (sum of proper divisors): 2,647,440
Factor pairs (a × b = 1,042,800)
1 × 1042800
2 × 521400
3 × 347600
4 × 260700
5 × 208560
6 × 173800
8 × 130350
10 × 104280
11 × 94800
12 × 86900
15 × 69520
16 × 65175
20 × 52140
22 × 47400
24 × 43450
25 × 41712
30 × 34760
33 × 31600
40 × 26070
44 × 23700
48 × 21725
50 × 20856
55 × 18960
60 × 17380
66 × 15800
75 × 13904
79 × 13200
80 × 13035
88 × 11850
100 × 10428
110 × 9480
120 × 8690
132 × 7900
150 × 6952
158 × 6600
165 × 6320
176 × 5925
200 × 5214
220 × 4740
237 × 4400
240 × 4345
264 × 3950
275 × 3792
300 × 3476
316 × 3300
330 × 3160
395 × 2640
400 × 2607
440 × 2370
474 × 2200
528 × 1975
550 × 1896
600 × 1738
632 × 1650
660 × 1580
790 × 1320
825 × 1264
869 × 1200
880 × 1185
948 × 1100
First multiples
1,042,800 · 2,085,600 (double) · 3,128,400 · 4,171,200 · 5,214,000 · 6,256,800 · 7,299,600 · 8,342,400 · 9,385,200 · 10,428,000

Sums & aliquot sequence

As consecutive integers: 347,599 + 347,600 + 347,601 208,558 + 208,559 + 208,560 + 208,561 + 208,562 94,795 + 94,796 + … + 94,805 69,513 + 69,514 + … + 69,527
Aliquot sequence: 1,042,800 2,647,440 6,245,964 10,097,076 15,604,908 24,117,012 37,122,348 51,470,772 74,949,228 114,505,856 127,846,144 138,454,352 140,768,848 162,399,248 181,807,888 170,444,926 93,626,738 — unresolved within range

Continued fraction of √n

√1,042,800 = [1021; (5, 1, 2, 4, 1, 3, 21, 81, 1, 1, 1, 4, 1, 126, 1, 4, 1, 1, 1, 81, 21, 3, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand eight hundred
Ordinal
1042800th
Binary
11111110100101110000
Octal
3764560
Hexadecimal
0xFE970
Base64
D+lw
One's complement
4,293,924,495 (32-bit)
Scientific notation
1.0428 × 10⁶
As a duration
1,042,800 s = 12 days, 1 hour, 40 minutes
In other bases
ternary (3) 1221222110020
quaternary (4) 3332211300
quinary (5) 231332200
senary (6) 34203440
septenary (7) 11602143
nonary (9) 1858406
undecimal (11) 652520
duodecimal (12) 423580
tridecimal (13) 2a6855
tetradecimal (14) 1d205a
pentadecimal (15) 158ea0

As an angle

1,042,800° = 2,896 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零四萬二千八百
Chinese (financial)
壹佰零肆萬貳仟捌佰
In other modern scripts
Eastern Arabic ١٠٤٢٨٠٠ Devanagari १०४२८०० Bengali ১০৪২৮০০ Tamil ௧௦௪௨௮௦௦ Thai ๑๐๔๒๘๐๐ Tibetan ༡༠༤༢༨༠༠ Khmer ១០៤២៨០០ Lao ໑໐໔໒໘໐໐ Burmese ၁၀၄၂၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042800, here are decompositions:

  • 19 + 1042781 = 1042800
  • 41 + 1042759 = 1042800
  • 67 + 1042733 = 1042800
  • 97 + 1042703 = 1042800
  • 107 + 1042693 = 1042800
  • 113 + 1042687 = 1042800
  • 167 + 1042633 = 1042800
  • 181 + 1042619 = 1042800

Showing the first eight; more decompositions exist.

Hex color
#0FE970
RGB(15, 233, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.233.112.

Address
0.15.233.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.233.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 2800 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2800-04-01 (DMMYYYY (Euro, single-digit day))
  • 2800-10-04 (MMDYYYY (US, single-digit day))
  • 2800-04-10 (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 1,042,800 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°.