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1,031,520

1,031,520 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.).

1,031,520 (one million thirty-one thousand five hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7 × 307. Its proper divisors sum to 2,694,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFBD60.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
251,301
Square (n²)
1,064,033,510,400
Cube (n³)
1,097,571,846,647,808,000
Divisor count
96
σ(n) — sum of divisors
3,725,568
φ(n) — Euler's totient
235,008
Sum of prime factors
332

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 307

Nearest primes: 1,031,507 (−13) · 1,031,521 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 140 · 160 · 168 · 210 · 224 · 240 · 280 · 307 · 336 · 420 · 480 · 560 · 614 · 672 · 840 · 921 · 1120 · 1228 · 1535 · 1680 · 1842 · 2149 · 2456 · 3070 · 3360 · 3684 · 4298 · 4605 · 4912 · 6140 · 6447 · 7368 · 8596 · 9210 · 9824 · 10745 · 12280 · 12894 · 14736 · 17192 · 18420 · 21490 · 24560 · 25788 · 29472 · 32235 · 34384 · 36840 · 42980 · 49120 · 51576 · 64470 · 68768 · 73680 · 85960 · 103152 · 128940 · 147360 · 171920 · 206304 · 257880 · 343840 · 515760 (half) · 1031520
Aliquot sum (sum of proper divisors): 2,694,048
Factor pairs (a × b = 1,031,520)
1 × 1031520
2 × 515760
3 × 343840
4 × 257880
5 × 206304
6 × 171920
7 × 147360
8 × 128940
10 × 103152
12 × 85960
14 × 73680
15 × 68768
16 × 64470
20 × 51576
21 × 49120
24 × 42980
28 × 36840
30 × 34384
32 × 32235
35 × 29472
40 × 25788
42 × 24560
48 × 21490
56 × 18420
60 × 17192
70 × 14736
80 × 12894
84 × 12280
96 × 10745
105 × 9824
112 × 9210
120 × 8596
140 × 7368
160 × 6447
168 × 6140
210 × 4912
224 × 4605
240 × 4298
280 × 3684
307 × 3360
336 × 3070
420 × 2456
480 × 2149
560 × 1842
614 × 1680
672 × 1535
840 × 1228
921 × 1120
First multiples
1,031,520 · 2,063,040 (double) · 3,094,560 · 4,126,080 · 5,157,600 · 6,189,120 · 7,220,640 · 8,252,160 · 9,283,680 · 10,315,200

Sums & aliquot sequence

As consecutive integers: 343,839 + 343,840 + 343,841 206,302 + 206,303 + 206,304 + 206,305 + 206,306 147,357 + 147,358 + … + 147,363 68,761 + 68,762 + … + 68,775
Aliquot sequence: 1,031,520 2,694,048 5,853,792 12,338,592 26,846,400 82,003,776 134,965,056 240,934,624 301,168,784 365,705,200 644,805,520 854,367,500 1,280,911,492 1,482,782,588 1,551,751,684 1,604,356,796 1,611,791,524 — unresolved within range

Continued fraction of √n

√1,031,520 = [1015; (1, 1, 1, 3, 5, 1, 3, 2, 2, 507, 2, 2, 3, 1, 5, 3, 1, 1, 1, 2030)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million thirty-one thousand five hundred twenty
Ordinal
1031520th
Binary
11111011110101100000
Octal
3736540
Hexadecimal
0xFBD60
Base64
D71g
One's complement
4,293,935,775 (32-bit)
Scientific notation
1.03152 × 10⁶
As a duration
1,031,520 s = 11 days, 22 hours, 32 minutes
In other bases
ternary (3) 1221101222110
quaternary (4) 3323311200
quinary (5) 231002040
senary (6) 34035320
septenary (7) 11524230
nonary (9) 1841873
undecimal (11) 644aa6
duodecimal (12) 418b40
tridecimal (13) 2a1689
tetradecimal (14) 1cbcc0
pentadecimal (15) 155980

As an angle

1,031,520° = 2,865 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零三萬一千五百二十
Chinese (financial)
壹佰零參萬壹仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٠٣١٥٢٠ Devanagari १०३१५२० Bengali ১০৩১৫২০ Tamil ௧௦௩௧௫௨௦ Thai ๑๐๓๑๕๒๐ Tibetan ༡༠༣༡༥༢༠ Khmer ១០៣១៥២០ Lao ໑໐໓໑໕໒໐ Burmese ၁၀၃၁၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1031520, here are decompositions:

  • 13 + 1031507 = 1031520
  • 31 + 1031489 = 1031520
  • 37 + 1031483 = 1031520
  • 41 + 1031479 = 1031520
  • 43 + 1031477 = 1031520
  • 59 + 1031461 = 1031520
  • 73 + 1031447 = 1031520
  • 89 + 1031431 = 1031520

Showing the first eight; more decompositions exist.

Hex color
#0FBD60
RGB(15, 189, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.189.96.

Address
0.15.189.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.189.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 3, 1520 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1520-03-01 (DMMYYYY (Euro, single-digit day))
  • 1520-10-03 (MMDYYYY (US, single-digit day))
  • 1520-03-10 (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 1,031,520 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°.