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1,041,120

1,041,120 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.).

1,041,120 (one million forty-one thousand one hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 5 × 241. Its proper divisors sum to 2,617,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE2E0.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable 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
211,401
Square (n²)
1,083,930,854,400
Cube (n³)
1,128,502,091,132,928,000
Divisor count
96
σ(n) — sum of divisors
3,659,040
φ(n) — Euler's totient
276,480
Sum of prime factors
265

Primality

Prime factorization: 2 5 × 3 3 × 5 × 241

Nearest primes: 1,041,119 (−1) · 1,041,121 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 60 · 72 · 80 · 90 · 96 · 108 · 120 · 135 · 144 · 160 · 180 · 216 · 240 · 241 · 270 · 288 · 360 · 432 · 480 · 482 · 540 · 720 · 723 · 864 · 964 · 1080 · 1205 · 1440 · 1446 · 1928 · 2160 · 2169 · 2410 · 2892 · 3615 · 3856 · 4320 · 4338 · 4820 · 5784 · 6507 · 7230 · 7712 · 8676 · 9640 · 10845 · 11568 · 13014 · 14460 · 17352 · 19280 · 21690 · 23136 · 26028 · 28920 · 32535 · 34704 · 38560 · 43380 · 52056 · 57840 · 65070 · 69408 · 86760 · 104112 · 115680 · 130140 · 173520 · 208224 · 260280 · 347040 · 520560 (half) · 1041120
Aliquot sum (sum of proper divisors): 2,617,920
Factor pairs (a × b = 1,041,120)
1 × 1041120
2 × 520560
3 × 347040
4 × 260280
5 × 208224
6 × 173520
8 × 130140
9 × 115680
10 × 104112
12 × 86760
15 × 69408
16 × 65070
18 × 57840
20 × 52056
24 × 43380
27 × 38560
30 × 34704
32 × 32535
36 × 28920
40 × 26028
45 × 23136
48 × 21690
54 × 19280
60 × 17352
72 × 14460
80 × 13014
90 × 11568
96 × 10845
108 × 9640
120 × 8676
135 × 7712
144 × 7230
160 × 6507
180 × 5784
216 × 4820
240 × 4338
241 × 4320
270 × 3856
288 × 3615
360 × 2892
432 × 2410
480 × 2169
482 × 2160
540 × 1928
720 × 1446
723 × 1440
864 × 1205
964 × 1080
First multiples
1,041,120 · 2,082,240 (double) · 3,123,360 · 4,164,480 · 5,205,600 · 6,246,720 · 7,287,840 · 8,328,960 · 9,370,080 · 10,411,200

Sums & aliquot sequence

As consecutive integers: 347,039 + 347,040 + 347,041 208,222 + 208,223 + 208,224 + 208,225 + 208,226 115,676 + 115,677 + … + 115,684 69,401 + 69,402 + … + 69,415
Aliquot sequence: 1,041,120 2,617,920 6,786,684 10,368,636 13,824,876 23,252,388 31,003,212 45,145,588 33,859,198 16,929,602 8,484,094 4,395,626 2,220,214 1,136,714 614,554 307,280 442,672 — unresolved within range

Continued fraction of √n

√1,041,120 = [1020; (2, 1, 5, 56, 1, 1, 25, 226, 1, 2, 2, 1, 1, 509, 1, 1, 2, 2, 1, 226, 25, 1, 1, 56, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million forty-one thousand one hundred twenty
Ordinal
1041120th
Binary
11111110001011100000
Octal
3761340
Hexadecimal
0xFE2E0
Base64
D+Lg
One's complement
4,293,926,175 (32-bit)
Scientific notation
1.04112 × 10⁶
As a duration
1,041,120 s = 12 days, 1 hour, 12 minutes
In other bases
ternary (3) 1221220011000
quaternary (4) 3332023200
quinary (5) 231303440
senary (6) 34152000
septenary (7) 11564223
nonary (9) 1856130
undecimal (11) 651233
duodecimal (12) 422600
tridecimal (13) 2a5b62
tetradecimal (14) 1d15ba
pentadecimal (15) 158730

As an angle

1,041,120° = 2,892 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆
Chinese
一百零四萬一千一百二十
Chinese (financial)
壹佰零肆萬壹仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٤١١٢٠ Devanagari १०४११२० Bengali ১০৪১১২০ Tamil ௧௦௪௧௧௨௦ Thai ๑๐๔๑๑๒๐ Tibetan ༡༠༤༡༡༢༠ Khmer ១០៤១១២០ Lao ໑໐໔໑໑໒໐ Burmese ၁၀၄၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041120, here are decompositions:

  • 11 + 1041109 = 1041120
  • 29 + 1041091 = 1041120
  • 37 + 1041083 = 1041120
  • 43 + 1041077 = 1041120
  • 79 + 1041041 = 1041120
  • 131 + 1040989 = 1041120
  • 139 + 1040981 = 1041120
  • 173 + 1040947 = 1041120

Showing the first eight; more decompositions exist.

Hex color
#0FE2E0
RGB(15, 226, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.224.

Address
0.15.226.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.226.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 1120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1120-04-01 (DMMYYYY (Euro, single-digit day))
  • 1120-10-04 (MMDYYYY (US, single-digit day))
  • 1120-04-10 (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 1,041,120 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°.