number.wiki
Live analysis

1,041,840

1,041,840 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.).

1,041,840 (one million forty-one thousand eight hundred forty) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 1,447. Its proper divisors sum to 2,459,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE5B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
481,401
Square (n²)
1,085,430,585,600
Cube (n³)
1,130,845,001,301,504,000
Divisor count
60
σ(n) — sum of divisors
3,501,264
φ(n) — Euler's totient
277,632
Sum of prime factors
1,466

Primality

Prime factorization: 2 4 × 3 2 × 5 × 1447

Nearest primes: 1,041,829 (−11) · 1,041,841 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 120 · 144 · 180 · 240 · 360 · 720 · 1447 · 2894 · 4341 · 5788 · 7235 · 8682 · 11576 · 13023 · 14470 · 17364 · 21705 · 23152 · 26046 · 28940 · 34728 · 43410 · 52092 · 57880 · 65115 · 69456 · 86820 · 104184 · 115760 · 130230 · 173640 · 208368 · 260460 · 347280 · 520920 (half) · 1041840
Aliquot sum (sum of proper divisors): 2,459,424
Factor pairs (a × b = 1,041,840)
1 × 1041840
2 × 520920
3 × 347280
4 × 260460
5 × 208368
6 × 173640
8 × 130230
9 × 115760
10 × 104184
12 × 86820
15 × 69456
16 × 65115
18 × 57880
20 × 52092
24 × 43410
30 × 34728
36 × 28940
40 × 26046
45 × 23152
48 × 21705
60 × 17364
72 × 14470
80 × 13023
90 × 11576
120 × 8682
144 × 7235
180 × 5788
240 × 4341
360 × 2894
720 × 1447
First multiples
1,041,840 · 2,083,680 (double) · 3,125,520 · 4,167,360 · 5,209,200 · 6,251,040 · 7,292,880 · 8,334,720 · 9,376,560 · 10,418,400

Sums & aliquot sequence

As consecutive integers: 347,279 + 347,280 + 347,281 208,366 + 208,367 + 208,368 + 208,369 + 208,370 115,756 + 115,757 + … + 115,764 69,449 + 69,450 + … + 69,463
Aliquot sequence: 1,041,840 2,459,424 5,052,192 8,210,064 12,999,392 16,539,040 28,119,392 38,489,248 48,112,064 80,245,312 101,740,608 191,853,420 413,140,116 550,853,516 470,598,244 352,948,690 284,433,902 — unresolved within range

Continued fraction of √n

√1,041,840 = [1020; (1, 2, 2, 1, 1, 13, 1, 1, 2, 2, 1, 2040)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million forty-one thousand eight hundred forty
Ordinal
1041840th
Binary
11111110010110110000
Octal
3762660
Hexadecimal
0xFE5B0
Base64
D+Ww
One's complement
4,293,925,455 (32-bit)
Scientific notation
1.04184 × 10⁶
As a duration
1,041,840 s = 12 days, 1 hour, 24 minutes
In other bases
ternary (3) 1221221010200
quaternary (4) 3332112300
quinary (5) 231314330
senary (6) 34155200
septenary (7) 11566302
nonary (9) 1857120
undecimal (11) 651828
duodecimal (12) 422b00
tridecimal (13) 2a6297
tetradecimal (14) 1d1972
pentadecimal (15) 158a60

As an angle

1,041,840° = 2,894 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零四萬一千八百四十
Chinese (financial)
壹佰零肆萬壹仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٠٤١٨٤٠ Devanagari १०४१८४० Bengali ১০৪১৮৪০ Tamil ௧௦௪௧௮௪௦ Thai ๑๐๔๑๘๔๐ Tibetan ༡༠༤༡༨༤༠ Khmer ១០៤១៨៤០ Lao ໑໐໔໑໘໔໐ Burmese ၁၀၄၁၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041840, here are decompositions:

  • 11 + 1041829 = 1041840
  • 17 + 1041823 = 1041840
  • 47 + 1041793 = 1041840
  • 53 + 1041787 = 1041840
  • 61 + 1041779 = 1041840
  • 83 + 1041757 = 1041840
  • 103 + 1041737 = 1041840
  • 109 + 1041731 = 1041840

Showing the first eight; more decompositions exist.

Hex color
#0FE5B0
RGB(15, 229, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.229.176.

Address
0.15.229.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.229.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 1840 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1840-04-01 (DMMYYYY (Euro, single-digit day))
  • 1840-10-04 (MMDYYYY (US, single-digit day))
  • 1840-04-10 (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 1,041,840 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°.