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1,049,040

1,049,040 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.).

1,049,040 (one million forty-nine thousand forty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 31 × 47. Its proper divisors sum to 2,665,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1001D0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
409,401
Square (n²)
1,100,484,921,600
Cube (n³)
1,154,452,702,155,264,000
Divisor count
120
σ(n) — sum of divisors
3,714,048
φ(n) — Euler's totient
264,960
Sum of prime factors
97

Primality

Prime factorization: 2 4 × 3 2 × 5 × 31 × 47

Nearest primes: 1,049,039 (−1) · 1,049,051 (+11)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 31 · 36 · 40 · 45 · 47 · 48 · 60 · 62 · 72 · 80 · 90 · 93 · 94 · 120 · 124 · 141 · 144 · 155 · 180 · 186 · 188 · 235 · 240 · 248 · 279 · 282 · 310 · 360 · 372 · 376 · 423 · 465 · 470 · 496 · 558 · 564 · 620 · 705 · 720 · 744 · 752 · 846 · 930 · 940 · 1116 · 1128 · 1240 · 1395 · 1410 · 1457 · 1488 · 1692 · 1860 · 1880 · 2115 · 2232 · 2256 · 2480 · 2790 · 2820 · 2914 · 3384 · 3720 · 3760 · 4230 · 4371 · 4464 · 5580 · 5640 · 5828 · 6768 · 7285 · 7440 · 8460 · 8742 · 11160 · 11280 · 11656 · 13113 · 14570 · 16920 · 17484 · 21855 · 22320 · 23312 · 26226 · 29140 · 33840 · 34968 · 43710 · 52452 · 58280 · 65565 · 69936 · 87420 · 104904 · 116560 · 131130 · 174840 · 209808 · 262260 · 349680 · 524520 (half) · 1049040
Aliquot sum (sum of proper divisors): 2,665,008
Factor pairs (a × b = 1,049,040)
1 × 1049040
2 × 524520
3 × 349680
4 × 262260
5 × 209808
6 × 174840
8 × 131130
9 × 116560
10 × 104904
12 × 87420
15 × 69936
16 × 65565
18 × 58280
20 × 52452
24 × 43710
30 × 34968
31 × 33840
36 × 29140
40 × 26226
45 × 23312
47 × 22320
48 × 21855
60 × 17484
62 × 16920
72 × 14570
80 × 13113
90 × 11656
93 × 11280
94 × 11160
120 × 8742
124 × 8460
141 × 7440
144 × 7285
155 × 6768
180 × 5828
186 × 5640
188 × 5580
235 × 4464
240 × 4371
248 × 4230
279 × 3760
282 × 3720
310 × 3384
360 × 2914
372 × 2820
376 × 2790
423 × 2480
465 × 2256
470 × 2232
496 × 2115
558 × 1880
564 × 1860
620 × 1692
705 × 1488
720 × 1457
744 × 1410
752 × 1395
846 × 1240
930 × 1128
940 × 1116
First multiples
1,049,040 · 2,098,080 (double) · 3,147,120 · 4,196,160 · 5,245,200 · 6,294,240 · 7,343,280 · 8,392,320 · 9,441,360 · 10,490,400

Sums & aliquot sequence

As consecutive integers: 349,679 + 349,680 + 349,681 209,806 + 209,807 + 209,808 + 209,809 + 209,810 116,556 + 116,557 + … + 116,564 69,929 + 69,930 + … + 69,943
Aliquot sequence: 1,049,040 2,665,008 5,270,992 5,271,984 9,971,088 16,622,448 27,708,048 54,429,552 105,738,768 199,741,680 552,591,120 1,333,145,328 2,225,615,736 3,559,497,864 6,180,920,376 9,273,307,224 13,938,179,496 — keeps growing

Continued fraction of √n

√1,049,040 = [1024; (4, 2, 2, 2, 2, 2, 46, 7, 15, 31, 1, 15, 1, 24, 2, 1, 6, 1, 2, 24, 1, 15, 1, 31, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million forty-nine thousand forty
Ordinal
1049040th
Binary
100000000000111010000
Octal
4000720
Hexadecimal
0x1001D0
Base64
EAHQ
One's complement
4,293,918,255 (32-bit)
Scientific notation
1.04904 × 10⁶
As a duration
1,049,040 s = 12 days, 3 hours, 24 minutes
In other bases
ternary (3) 1222022000100
quaternary (4) 10000013100
quinary (5) 232032130
senary (6) 34252400
septenary (7) 11626266
nonary (9) 1868010
undecimal (11) 657183
duodecimal (12) 427100
tridecimal (13) 2a9645
tetradecimal (14) 1d4436
pentadecimal (15) 15ac60

As an angle

1,049,040° = 2,914 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese
一百零四萬九千零四十
Chinese (financial)
壹佰零肆萬玖仟零肆拾
In other modern scripts
Eastern Arabic ١٠٤٩٠٤٠ Devanagari १०४९०४० Bengali ১০৪৯০৪০ Tamil ௧௦௪௯௦௪௦ Thai ๑๐๔๙๐๔๐ Tibetan ༡༠༤༩༠༤༠ Khmer ១០៤៩០៤០ Lao ໑໐໔໙໐໔໐ Burmese ၁၀၄၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049040, here are decompositions:

  • 17 + 1049023 = 1049040
  • 29 + 1049011 = 1049040
  • 131 + 1048909 = 1049040
  • 149 + 1048891 = 1049040
  • 151 + 1048889 = 1049040
  • 163 + 1048877 = 1049040
  • 173 + 1048867 = 1049040
  • 193 + 1048847 = 1049040

Showing the first eight; more decompositions exist.

Hex color
#1001D0
RGB(16, 1, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.1.208.

Address
0.16.1.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.1.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 9040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9040-04-01 (DMMYYYY (Euro, single-digit day))
  • 9040-10-04 (MMDYYYY (US, single-digit day))
  • 9040-04-10 (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 1,049,040 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°.