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1,040,400

1,040,400 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.).

1,040,400 (one million forty thousand four hundred) is an even 7-digit number. It is a composite number with 135 divisors, and factors as 2⁴ × 3² × 5² × 17². Its proper divisors sum to 2,794,951, more than the number itself, making it an abundant number. It is a perfect square (1,020²). Written other ways, in hexadecimal, 0xFE010.

Abundant Number Evil Number Gapful Number Harshad / Niven Perfect Square Powerful Number Practical 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
40,401
Square (n²)
1,082,432,160,000
Cube (n³)
1,126,162,419,264,000,000
Square root (√n)
1,020
Divisor count
135
σ(n) — sum of divisors
3,835,351
φ(n) — Euler's totient
261,120
Sum of prime factors
58

Primality

Prime factorization: 2 4 × 3 2 × 5 2 × 17 2

Nearest primes: 1,040,387 (−13) · 1,040,407 (+7)

Divisors & multiples

All divisors (135)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 25 · 30 · 34 · 36 · 40 · 45 · 48 · 50 · 51 · 60 · 68 · 72 · 75 · 80 · 85 · 90 · 100 · 102 · 120 · 136 · 144 · 150 · 153 · 170 · 180 · 200 · 204 · 225 · 240 · 255 · 272 · 289 · 300 · 306 · 340 · 360 · 400 · 408 · 425 · 450 · 510 · 578 · 600 · 612 · 680 · 720 · 765 · 816 · 850 · 867 · 900 · 1020 · 1156 · 1200 · 1224 · 1275 · 1360 · 1445 · 1530 · 1700 · 1734 · 1800 · 2040 · 2312 · 2448 · 2550 · 2601 · 2890 · 3060 · 3400 · 3468 · 3600 · 3825 · 4080 · 4335 · 4624 · 5100 · 5202 · 5780 · 6120 · 6800 · 6936 · 7225 · 7650 · 8670 · 10200 · 10404 · 11560 · 12240 · 13005 · 13872 · 14450 · 15300 · 17340 · 20400 · 20808 · 21675 · 23120 · 26010 · 28900 · 30600 · 34680 · 41616 · 43350 · 52020 · 57800 · 61200 · 65025 · 69360 · 86700 · 104040 · 115600 · 130050 · 173400 · 208080 · 260100 · 346800 · 520200 (half) · 1040400
Aliquot sum (sum of proper divisors): 2,794,951
Factor pairs (a × b = 1,040,400)
1 × 1040400
2 × 520200
3 × 346800
4 × 260100
5 × 208080
6 × 173400
8 × 130050
9 × 115600
10 × 104040
12 × 86700
15 × 69360
16 × 65025
17 × 61200
18 × 57800
20 × 52020
24 × 43350
25 × 41616
30 × 34680
34 × 30600
36 × 28900
40 × 26010
45 × 23120
48 × 21675
50 × 20808
51 × 20400
60 × 17340
68 × 15300
72 × 14450
75 × 13872
80 × 13005
85 × 12240
90 × 11560
100 × 10404
102 × 10200
120 × 8670
136 × 7650
144 × 7225
150 × 6936
153 × 6800
170 × 6120
180 × 5780
200 × 5202
204 × 5100
225 × 4624
240 × 4335
255 × 4080
272 × 3825
289 × 3600
300 × 3468
306 × 3400
340 × 3060
360 × 2890
400 × 2601
408 × 2550
425 × 2448
450 × 2312
510 × 2040
578 × 1800
600 × 1734
612 × 1700
680 × 1530
720 × 1445
765 × 1360
816 × 1275
850 × 1224
867 × 1200
900 × 1156
1020 × 1020
First multiples
1,040,400 · 2,080,800 (double) · 3,121,200 · 4,161,600 · 5,202,000 · 6,242,400 · 7,282,800 · 8,323,200 · 9,363,600 · 10,404,000

Sums & aliquot sequence

As a sum of two squares: 0² + 1,020² = 156² + 1,008² = 432² + 924² = 480² + 900²
As consecutive integers: 346,799 + 346,800 + 346,801 208,078 + 208,079 + 208,080 + 208,081 + 208,082 115,596 + 115,597 + … + 115,604 69,353 + 69,354 + … + 69,367
Aliquot sequence: 1,040,400 2,794,951 38,361 15,559 1 0 — terminates at zero

Representations

In words
one million forty thousand four hundred
Ordinal
1040400th
Binary
11111110000000010000
Octal
3760020
Hexadecimal
0xFE010
Base64
D+AQ
One's complement
4,293,926,895 (32-bit)
Scientific notation
1.0404 × 10⁶
As a duration
1,040,400 s = 12 days, 1 hour
In other bases
ternary (3) 1221212011100
quaternary (4) 3332000100
quinary (5) 231243100
senary (6) 34144400
septenary (7) 11562144
nonary (9) 1855140
undecimal (11) 650739
duodecimal (12) 422100
tridecimal (13) 2a572a
tetradecimal (14) 1d1224
pentadecimal (15) 158400

As an angle

1,040,400° = 2,890 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Chinese
一百零四萬零四百
Chinese (financial)
壹佰零肆萬零肆佰
In other modern scripts
Eastern Arabic ١٠٤٠٤٠٠ Devanagari १०४०४०० Bengali ১০৪০৪০০ Tamil ௧௦௪௦௪௦௦ Thai ๑๐๔๐๔๐๐ Tibetan ༡༠༤༠༤༠༠ Khmer ១០៤០៤០០ Lao ໑໐໔໐໔໐໐ Burmese ၁၀၄၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040400, here are decompositions:

  • 13 + 1040387 = 1040400
  • 19 + 1040381 = 1040400
  • 29 + 1040371 = 1040400
  • 47 + 1040353 = 1040400
  • 61 + 1040339 = 1040400
  • 73 + 1040327 = 1040400
  • 89 + 1040311 = 1040400
  • 173 + 1040227 = 1040400

Showing the first eight; more decompositions exist.

Hex color
#0FE010
RGB(15, 224, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.224.16.

Address
0.15.224.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.224.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 0400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0400-04-01 (DMMYYYY (Euro, single-digit day))
  • 0400-10-04 (MMDYYYY (US, single-digit day))
  • 0400-04-10 (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 1,040,400 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°.