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1,031,040

1,031,040 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.).

1,031,040 (one million thirty-one thousand forty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 5 × 179. Its proper divisors sum to 2,549,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFBB80.

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
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
401,301
Square (n²)
1,063,043,481,600
Cube (n³)
1,096,040,351,268,864,000
Divisor count
96
σ(n) — sum of divisors
3,580,200
φ(n) — Euler's totient
273,408
Sum of prime factors
204

Primality

Prime factorization: 2 7 × 3 2 × 5 × 179

Nearest primes: 1,031,003 (−37) · 1,031,047 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 128 · 144 · 160 · 179 · 180 · 192 · 240 · 288 · 320 · 358 · 360 · 384 · 480 · 537 · 576 · 640 · 716 · 720 · 895 · 960 · 1074 · 1152 · 1432 · 1440 · 1611 · 1790 · 1920 · 2148 · 2685 · 2864 · 2880 · 3222 · 3580 · 4296 · 5370 · 5728 · 5760 · 6444 · 7160 · 8055 · 8592 · 10740 · 11456 · 12888 · 14320 · 16110 · 17184 · 21480 · 22912 · 25776 · 28640 · 32220 · 34368 · 42960 · 51552 · 57280 · 64440 · 68736 · 85920 · 103104 · 114560 · 128880 · 171840 · 206208 · 257760 · 343680 · 515520 (half) · 1031040
Aliquot sum (sum of proper divisors): 2,549,160
Factor pairs (a × b = 1,031,040)
1 × 1031040
2 × 515520
3 × 343680
4 × 257760
5 × 206208
6 × 171840
8 × 128880
9 × 114560
10 × 103104
12 × 85920
15 × 68736
16 × 64440
18 × 57280
20 × 51552
24 × 42960
30 × 34368
32 × 32220
36 × 28640
40 × 25776
45 × 22912
48 × 21480
60 × 17184
64 × 16110
72 × 14320
80 × 12888
90 × 11456
96 × 10740
120 × 8592
128 × 8055
144 × 7160
160 × 6444
179 × 5760
180 × 5728
192 × 5370
240 × 4296
288 × 3580
320 × 3222
358 × 2880
360 × 2864
384 × 2685
480 × 2148
537 × 1920
576 × 1790
640 × 1611
716 × 1440
720 × 1432
895 × 1152
960 × 1074
First multiples
1,031,040 · 2,062,080 (double) · 3,093,120 · 4,124,160 · 5,155,200 · 6,186,240 · 7,217,280 · 8,248,320 · 9,279,360 · 10,310,400

Sums & aliquot sequence

As consecutive integers: 343,679 + 343,680 + 343,681 206,206 + 206,207 + 206,208 + 206,209 + 206,210 114,556 + 114,557 + … + 114,564 68,729 + 68,730 + … + 68,743
Aliquot sequence: 1,031,040 2,549,160 5,935,680 15,270,780 34,209,924 60,988,284 126,684,292 127,468,348 127,468,404 284,512,396 294,160,244 303,382,156 358,543,220 501,960,844 630,611,828 756,721,420 1,247,013,236 — unresolved within range

Continued fraction of √n

√1,031,040 = [1015; (2, 2, 28, 4, 1, 13, 3, 3, 6, 1, 5, 1, 2, 507, 2, 1, 5, 1, 6, 3, 3, 13, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million thirty-one thousand forty
Ordinal
1031040th
Binary
11111011101110000000
Octal
3735600
Hexadecimal
0xFBB80
Base64
D7uA
One's complement
4,293,936,255 (32-bit)
Scientific notation
1.03104 × 10⁶
As a duration
1,031,040 s = 11 days, 22 hours, 24 minutes
In other bases
ternary (3) 1221101022200
quaternary (4) 3323232000
quinary (5) 230443130
senary (6) 34033200
septenary (7) 11522643
nonary (9) 1841280
undecimal (11) 6446aa
duodecimal (12) 418800
tridecimal (13) 2a13aa
tetradecimal (14) 1cba5a
pentadecimal (15) 155760

As an angle

1,031,040° = 2,864 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Chinese
一百零三萬一千零四十
Chinese (financial)
壹佰零參萬壹仟零肆拾
In other modern scripts
Eastern Arabic ١٠٣١٠٤٠ Devanagari १०३१०४० Bengali ১০৩১০৪০ Tamil ௧௦௩௧௦௪௦ Thai ๑๐๓๑๐๔๐ Tibetan ༡༠༣༡༠༤༠ Khmer ១០៣១០៤០ Lao ໑໐໓໑໐໔໐ Burmese ၁၀၃၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1031040, here are decompositions:

  • 37 + 1031003 = 1031040
  • 47 + 1030993 = 1031040
  • 53 + 1030987 = 1031040
  • 83 + 1030957 = 1031040
  • 89 + 1030951 = 1031040
  • 107 + 1030933 = 1031040
  • 151 + 1030889 = 1031040
  • 167 + 1030873 = 1031040

Showing the first eight; more decompositions exist.

Hex color
#0FBB80
RGB(15, 187, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.187.128.

Address
0.15.187.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.187.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 3, 1040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1040-03-01 (DMMYYYY (Euro, single-digit day))
  • 1040-10-03 (MMDYYYY (US, single-digit day))
  • 1040-03-10 (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 1,031,040 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°.