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1,036,080

1,036,080 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.).

1,036,080 (one million thirty-six thousand eighty) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 1,439. Its proper divisors sum to 2,445,840, more than the number itself, making it an abundant number. It is the 1,439th triangular number. Written other ways, in hexadecimal, 0xFCF30.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Hexagonal Practical Number Refactorable Number Semiperfect Number Triangular

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
806,301
Square (n²)
1,073,461,766,400
Cube (n³)
1,112,192,266,931,712,000
Divisor count
60
σ(n) — sum of divisors
3,481,920
φ(n) — Euler's totient
276,096
Sum of prime factors
1,458

Primality

Prime factorization: 2 4 × 3 2 × 5 × 1439

Nearest primes: 1,036,073 (−7) · 1,036,093 (+13)

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 · 1439 · 2878 · 4317 · 5756 · 7195 · 8634 · 11512 · 12951 · 14390 · 17268 · 21585 · 23024 · 25902 · 28780 · 34536 · 43170 · 51804 · 57560 · 64755 · 69072 · 86340 · 103608 · 115120 · 129510 · 172680 · 207216 · 259020 · 345360 · 518040 (half) · 1036080
Aliquot sum (sum of proper divisors): 2,445,840
Factor pairs (a × b = 1,036,080)
1 × 1036080
2 × 518040
3 × 345360
4 × 259020
5 × 207216
6 × 172680
8 × 129510
9 × 115120
10 × 103608
12 × 86340
15 × 69072
16 × 64755
18 × 57560
20 × 51804
24 × 43170
30 × 34536
36 × 28780
40 × 25902
45 × 23024
48 × 21585
60 × 17268
72 × 14390
80 × 12951
90 × 11512
120 × 8634
144 × 7195
180 × 5756
240 × 4317
360 × 2878
720 × 1439
First multiples
1,036,080 · 2,072,160 (double) · 3,108,240 · 4,144,320 · 5,180,400 · 6,216,480 · 7,252,560 · 8,288,640 · 9,324,720 · 10,360,800

Sums & aliquot sequence

As consecutive integers: 345,359 + 345,360 + 345,361 207,214 + 207,215 + 207,216 + 207,217 + 207,218 115,116 + 115,117 + … + 115,124 69,065 + 69,066 + … + 69,079
Aliquot sequence: 1,036,080 2,445,840 6,065,520 12,980,880 35,258,220 74,435,700 140,932,460 167,061,940 183,768,176 172,282,696 164,792,504 144,193,456 178,513,568 172,935,082 86,467,544 75,659,116 66,929,316 — unresolved within range

Continued fraction of √n

√1,036,080 = [1017; (1, 7, 2, 1, 9, 1, 45, 2, 1, 3, 2, 1, 3, 5, 4, 16, 1, 1, 2, 2, 2, 2, 2, 2, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one million thirty-six thousand eighty
Ordinal
1036080th
Binary
11111100111100110000
Octal
3747460
Hexadecimal
0xFCF30
Base64
D88w
One's complement
4,293,931,215 (32-bit)
Scientific notation
1.03608 × 10⁶
As a duration
1,036,080 s = 11 days, 23 hours, 48 minutes
In other bases
ternary (3) 1221122020100
quaternary (4) 3330330300
quinary (5) 231123310
senary (6) 34112400
septenary (7) 11543433
nonary (9) 1848210
undecimal (11) 648471
duodecimal (12) 41b700
tridecimal (13) 2a3786
tetradecimal (14) 1cd81a
pentadecimal (15) 156ec0

As an angle

1,036,080° = 2,878 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零三萬六千零八十
Chinese (financial)
壹佰零參萬陸仟零捌拾
In other modern scripts
Eastern Arabic ١٠٣٦٠٨٠ Devanagari १०३६०८० Bengali ১০৩৬০৮০ Tamil ௧௦௩௬௦௮௦ Thai ๑๐๓๖๐๘๐ Tibetan ༡༠༣༦༠༨༠ Khmer ១០៣៦០៨០ Lao ໑໐໓໖໐໘໐ Burmese ၁၀၃၆၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1036080, here are decompositions:

  • 7 + 1036073 = 1036080
  • 11 + 1036069 = 1036080
  • 13 + 1036067 = 1036080
  • 41 + 1036039 = 1036080
  • 53 + 1036027 = 1036080
  • 79 + 1036001 = 1036080
  • 103 + 1035977 = 1036080
  • 107 + 1035973 = 1036080

Showing the first eight; more decompositions exist.

Hex color
#0FCF30
RGB(15, 207, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.207.48.

Address
0.15.207.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.207.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 3, 6080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6080-03-01 (DMMYYYY (Euro, single-digit day))
  • 6080-10-03 (MMDYYYY (US, single-digit day))
  • 6080-03-10 (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 1,036,080 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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.