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1,042,368

1,042,368 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.).

1,042,368 (one million forty-two thousand three hundred sixty-eight) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 61 × 89. Its proper divisors sum to 1,792,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE7C0.

Abundant Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
8,632,401
Square (n²)
1,086,531,047,424
Cube (n³)
1,132,565,194,841,260,032
Divisor count
56
σ(n) — sum of divisors
2,834,640
φ(n) — Euler's totient
337,920
Sum of prime factors
165

Primality

Prime factorization: 2 6 × 3 × 61 × 89

Nearest primes: 1,042,357 (−11) · 1,042,369 (+1)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 61 · 64 · 89 · 96 · 122 · 178 · 183 · 192 · 244 · 267 · 356 · 366 · 488 · 534 · 712 · 732 · 976 · 1068 · 1424 · 1464 · 1952 · 2136 · 2848 · 2928 · 3904 · 4272 · 5429 · 5696 · 5856 · 8544 · 10858 · 11712 · 16287 · 17088 · 21716 · 32574 · 43432 · 65148 · 86864 · 130296 · 173728 · 260592 · 347456 · 521184 (half) · 1042368
Aliquot sum (sum of proper divisors): 1,792,272
Factor pairs (a × b = 1,042,368)
1 × 1042368
2 × 521184
3 × 347456
4 × 260592
6 × 173728
8 × 130296
12 × 86864
16 × 65148
24 × 43432
32 × 32574
48 × 21716
61 × 17088
64 × 16287
89 × 11712
96 × 10858
122 × 8544
178 × 5856
183 × 5696
192 × 5429
244 × 4272
267 × 3904
356 × 2928
366 × 2848
488 × 2136
534 × 1952
712 × 1464
732 × 1424
976 × 1068
First multiples
1,042,368 · 2,084,736 (double) · 3,127,104 · 4,169,472 · 5,211,840 · 6,254,208 · 7,296,576 · 8,338,944 · 9,381,312 · 10,423,680

Sums & aliquot sequence

As consecutive integers: 347,455 + 347,456 + 347,457 17,058 + 17,059 + … + 17,118 11,668 + 11,669 + … + 11,756 8,080 + 8,081 + … + 8,207
Aliquot sequence: 1,042,368 1,792,272 2,837,888 2,815,972 2,128,968 3,637,182 3,683,778 4,810,302 7,101,234 10,483,086 10,483,098 11,586,822 13,369,578 16,006,422 16,872,090 23,620,998 23,621,010 — unresolved within range

Continued fraction of √n

√1,042,368 = [1020; (1, 26, 1, 34, 1, 6, 10, 1, 2, 1, 1, 5, 12, 20, 1, 30, 1, 20, 12, 5, 1, 1, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand three hundred sixty-eight
Ordinal
1042368th
Binary
11111110011111000000
Octal
3763700
Hexadecimal
0xFE7C0
Base64
D+fA
One's complement
4,293,924,927 (32-bit)
Scientific notation
1.042368 × 10⁶
As a duration
1,042,368 s = 12 days, 1 hour, 32 minutes, 48 seconds
In other bases
ternary (3) 1221221212020
quaternary (4) 3332133000
quinary (5) 231323433
senary (6) 34201440
septenary (7) 11600655
nonary (9) 1857766
undecimal (11) 652168
duodecimal (12) 423280
tridecimal (13) 2a65b2
tetradecimal (14) 1d1c2c
pentadecimal (15) 158cb3

As an angle

1,042,368° = 2,895 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬二千三百六十八
Chinese (financial)
壹佰零肆萬貳仟參佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٤٢٣٦٨ Devanagari १०४२३६८ Bengali ১০৪২৩৬৮ Tamil ௧௦௪௨௩௬௮ Thai ๑๐๔๒๓๖๘ Tibetan ༡༠༤༢༣༦༨ Khmer ១០៤២៣៦៨ Lao ໑໐໔໒໓໖໘ Burmese ၁၀၄၂၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042368, here are decompositions:

  • 11 + 1042357 = 1042368
  • 37 + 1042331 = 1042368
  • 59 + 1042309 = 1042368
  • 97 + 1042271 = 1042368
  • 101 + 1042267 = 1042368
  • 109 + 1042259 = 1042368
  • 127 + 1042241 = 1042368
  • 157 + 1042211 = 1042368

Showing the first eight; more decompositions exist.

Hex color
#0FE7C0
RGB(15, 231, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.192.

Address
0.15.231.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.231.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 2368 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2368-04-01 (DMMYYYY (Euro, single-digit day))
  • 2368-10-04 (MMDYYYY (US, single-digit day))
  • 2368-04-10 (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 1,042,368 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°.