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1,036,320

1,036,320 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.).

1,036,320 (one million thirty-six thousand three hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 17 × 127. Its proper divisors sum to 2,447,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFD020.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
236,301
Square (n²)
1,073,959,142,400
Cube (n³)
1,112,965,338,451,968,000
Divisor count
96
σ(n) — sum of divisors
3,483,648
φ(n) — Euler's totient
258,048
Sum of prime factors
162

Primality

Prime factorization: 2 5 × 3 × 5 × 17 × 127

Nearest primes: 1,036,319 (−1) · 1,036,327 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 30 · 32 · 34 · 40 · 48 · 51 · 60 · 68 · 80 · 85 · 96 · 102 · 120 · 127 · 136 · 160 · 170 · 204 · 240 · 254 · 255 · 272 · 340 · 381 · 408 · 480 · 508 · 510 · 544 · 635 · 680 · 762 · 816 · 1016 · 1020 · 1270 · 1360 · 1524 · 1632 · 1905 · 2032 · 2040 · 2159 · 2540 · 2720 · 3048 · 3810 · 4064 · 4080 · 4318 · 5080 · 6096 · 6477 · 7620 · 8160 · 8636 · 10160 · 10795 · 12192 · 12954 · 15240 · 17272 · 20320 · 21590 · 25908 · 30480 · 32385 · 34544 · 43180 · 51816 · 60960 · 64770 · 69088 · 86360 · 103632 · 129540 · 172720 · 207264 · 259080 · 345440 · 518160 (half) · 1036320
Aliquot sum (sum of proper divisors): 2,447,328
Factor pairs (a × b = 1,036,320)
1 × 1036320
2 × 518160
3 × 345440
4 × 259080
5 × 207264
6 × 172720
8 × 129540
10 × 103632
12 × 86360
15 × 69088
16 × 64770
17 × 60960
20 × 51816
24 × 43180
30 × 34544
32 × 32385
34 × 30480
40 × 25908
48 × 21590
51 × 20320
60 × 17272
68 × 15240
80 × 12954
85 × 12192
96 × 10795
102 × 10160
120 × 8636
127 × 8160
136 × 7620
160 × 6477
170 × 6096
204 × 5080
240 × 4318
254 × 4080
255 × 4064
272 × 3810
340 × 3048
381 × 2720
408 × 2540
480 × 2159
508 × 2040
510 × 2032
544 × 1905
635 × 1632
680 × 1524
762 × 1360
816 × 1270
1016 × 1020
First multiples
1,036,320 · 2,072,640 (double) · 3,108,960 · 4,145,280 · 5,181,600 · 6,217,920 · 7,254,240 · 8,290,560 · 9,326,880 · 10,363,200

Sums & aliquot sequence

As consecutive integers: 345,439 + 345,440 + 345,441 207,262 + 207,263 + 207,264 + 207,265 + 207,266 69,081 + 69,082 + … + 69,095 60,952 + 60,953 + … + 60,968
Aliquot sequence: 1,036,320 2,447,328 4,792,128 9,045,792 20,924,694 31,641,066 38,040,858 45,613,830 68,620,794 87,148,806 87,148,818 106,515,342 124,267,938 126,000,750 195,893,394 203,032,686 208,173,714 — unresolved within range

Continued fraction of √n

√1,036,320 = [1017; (1, 507, 1, 2034)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million thirty-six thousand three hundred twenty
Ordinal
1036320th
Binary
11111101000000100000
Octal
3750040
Hexadecimal
0xFD020
Base64
D9Ag
One's complement
4,293,930,975 (32-bit)
Scientific notation
1.03632 × 10⁶
As a duration
1,036,320 s = 11 days, 23 hours, 52 minutes
In other bases
ternary (3) 1221122120020
quaternary (4) 3331000200
quinary (5) 231130240
senary (6) 34113440
septenary (7) 11544225
nonary (9) 1848506
undecimal (11) 64866a
duodecimal (12) 41b880
tridecimal (13) 2a390c
tetradecimal (14) 1cd94c
pentadecimal (15) 1570d0

As an angle

1,036,320° = 2,878 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese
一百零三萬六千三百二十
Chinese (financial)
壹佰零參萬陸仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠٣٦٣٢٠ Devanagari १०३६३२० Bengali ১০৩৬৩২০ Tamil ௧௦௩௬௩௨௦ Thai ๑๐๓๖๓๒๐ Tibetan ༡༠༣༦༣༢༠ Khmer ១០៣៦៣២០ Lao ໑໐໓໖໓໒໐ Burmese ၁၀၃၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1036320, here are decompositions:

  • 13 + 1036307 = 1036320
  • 23 + 1036297 = 1036320
  • 29 + 1036291 = 1036320
  • 53 + 1036267 = 1036320
  • 59 + 1036261 = 1036320
  • 67 + 1036253 = 1036320
  • 71 + 1036249 = 1036320
  • 73 + 1036247 = 1036320

Showing the first eight; more decompositions exist.

Hex color
#0FD020
RGB(15, 208, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.208.32.

Address
0.15.208.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.208.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 3, 6320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6320-03-01 (DMMYYYY (Euro, single-digit day))
  • 6320-10-03 (MMDYYYY (US, single-digit day))
  • 6320-03-10 (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 1,036,320 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°.