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1,060,400

1,060,400 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.).

1,060,400 (one million sixty thousand four hundred) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 11 × 241. Its proper divisors sum to 1,730,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102E30.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
40,601
Square (n²)
1,124,448,160,000
Cube (n³)
1,192,364,828,864,000,000
Divisor count
60
σ(n) — sum of divisors
2,790,744
φ(n) — Euler's totient
384,000
Sum of prime factors
270

Primality

Prime factorization: 2 4 × 5 2 × 11 × 241

Nearest primes: 1,060,393 (−7) · 1,060,403 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 25 · 40 · 44 · 50 · 55 · 80 · 88 · 100 · 110 · 176 · 200 · 220 · 241 · 275 · 400 · 440 · 482 · 550 · 880 · 964 · 1100 · 1205 · 1928 · 2200 · 2410 · 2651 · 3856 · 4400 · 4820 · 5302 · 6025 · 9640 · 10604 · 12050 · 13255 · 19280 · 21208 · 24100 · 26510 · 42416 · 48200 · 53020 · 66275 · 96400 · 106040 · 132550 · 212080 · 265100 · 530200 (half) · 1060400
Aliquot sum (sum of proper divisors): 1,730,344
Factor pairs (a × b = 1,060,400)
1 × 1060400
2 × 530200
4 × 265100
5 × 212080
8 × 132550
10 × 106040
11 × 96400
16 × 66275
20 × 53020
22 × 48200
25 × 42416
40 × 26510
44 × 24100
50 × 21208
55 × 19280
80 × 13255
88 × 12050
100 × 10604
110 × 9640
176 × 6025
200 × 5302
220 × 4820
241 × 4400
275 × 3856
400 × 2651
440 × 2410
482 × 2200
550 × 1928
880 × 1205
964 × 1100
First multiples
1,060,400 · 2,120,800 (double) · 3,181,200 · 4,241,600 · 5,302,000 · 6,362,400 · 7,422,800 · 8,483,200 · 9,543,600 · 10,604,000

Sums & aliquot sequence

As consecutive integers: 212,078 + 212,079 + 212,080 + 212,081 + 212,082 96,395 + 96,396 + … + 96,405 42,404 + 42,405 + … + 42,428 33,122 + 33,123 + … + 33,153
Aliquot sequence: 1,060,400 → 1,730,344 → 2,392,376 → 3,148,024 → 3,383,816 → 3,420,184 → 2,992,676 → 2,244,514 → 1,200,686 → 701,266 → 354,218 → 177,112 → 185,228 → 138,928 → 145,032 → 217,608 → 326,472 — unresolved within range

Continued fraction of √n

√1,060,400 = [1029; (1, 3, 8, 2, 1, 2, 1, 1, 1, 1, 1, 1, 25, 2, 4, 1, 3, 2, 13, 5, 13, 2, 3, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one million sixty thousand four hundred
Ordinal
1060400th
Binary
100000010111000110000
Octal
4027060
Hexadecimal
0x102E30
Base64
EC4w
One's complement
4,293,906,895 (32-bit)
Scientific notation
1.0604 × 10⁶
As a duration
1,060,400 s = 12 days, 6 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 1222212121002
quaternary (4) 10002320300
quinary (5) 232413100
senary (6) 34421132
septenary (7) 12004355
nonary (9) 1885532
undecimal (11) 664770
duodecimal (12) 4317a8
tridecimal (13) 2b1873
tetradecimal (14) 1d862c
pentadecimal (15) 15e2d5

As an angle

1,060,400° = 2,945 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Chinese
一百零六萬零四百
Chinese (financial)
壹佰零陸萬零肆佰
In other modern scripts
Eastern Arabic ١٠٦٠٤٠٠ Devanagari १०६०४०० Bengali ১০৬০৪০০ Tamil ௧௦௬௦௪௦௦ Thai ๑๐๖๐๔๐๐ Tibetan ༡༠༦༠༤༠༠ Khmer ១០៦០៤០០ Lao ໑໐໖໐໔໐໐ Burmese ၁၀၆၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1060400, here are decompositions:

  • 7 + 1060393 = 1060400
  • 43 + 1060357 = 1060400
  • 79 + 1060321 = 1060400
  • 97 + 1060303 = 1060400
  • 151 + 1060249 = 1060400
  • 163 + 1060237 = 1060400
  • 193 + 1060207 = 1060400
  • 199 + 1060201 = 1060400

Showing the first eight; more decompositions exist.

Hex color
#102E30
RGB(16, 46, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.46.48.

Address
0.16.46.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.46.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 6, 0400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0400-06-01 (DMMYYYY (Euro, single-digit day))
  • 0400-10-06 (MMDYYYY (US, single-digit day))
  • 0400-06-10 (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 1,060,400 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°.