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1,020,600

1,020,600 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.).

1,020,600 (one million twenty thousand six hundred) is an even 7-digit number. It is a composite number with 168 divisors, and factors as 2³ × 3⁶ × 5² × 7. Its proper divisors sum to 3,045,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF92B8.

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
60,201
Square (n²)
1,041,624,360,000
Cube (n³)
1,063,081,821,816,000,000
Divisor count
168
σ(n) — sum of divisors
4,065,960
φ(n) — Euler's totient
233,280
Sum of prime factors
41

Primality

Prime factorization: 2 3 × 3 6 × 5 2 × 7

Nearest primes: 1,020,599 (−1) · 1,020,619 (+19)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 25 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 50 · 54 · 56 · 60 · 63 · 70 · 72 · 75 · 81 · 84 · 90 · 100 · 105 · 108 · 120 · 126 · 135 · 140 · 150 · 162 · 168 · 175 · 180 · 189 · 200 · 210 · 216 · 225 · 243 · 252 · 270 · 280 · 300 · 315 · 324 · 350 · 360 · 378 · 405 · 420 · 450 · 486 · 504 · 525 · 540 · 567 · 600 · 630 · 648 · 675 · 700 · 729 · 756 · 810 · 840 · 900 · 945 · 972 · 1050 · 1080 · 1134 · 1215 · 1260 · 1350 · 1400 · 1458 · 1512 · 1575 · 1620 · 1701 · 1800 · 1890 · 1944 · 2025 · 2100 · 2268 · 2430 · 2520 · 2700 · 2835 · 2916 · 3150 · 3240 · 3402 · 3645 · 3780 · 4050 · 4200 · 4536 · 4725 · 4860 · 5103 · 5400 · 5670 · 5832 · 6075 · 6300 · 6804 · 7290 · 7560 · 8100 · 8505 · 9450 · 9720 · 10206 · 11340 · 12150 · 12600 · 13608 · 14175 · 14580 · 16200 · 17010 · 18225 · 18900 · 20412 · 22680 · 24300 · 25515 · 28350 · 29160 · 34020 · 36450 · 37800 · 40824 · 42525 · 48600 · 51030 · 56700 · 68040 · 72900 · 85050 · 102060 · 113400 · 127575 · 145800 · 170100 · 204120 · 255150 · 340200 · 510300 (half) · 1020600
Aliquot sum (sum of proper divisors): 3,045,360
Factor pairs (a × b = 1,020,600)
1 × 1020600
2 × 510300
3 × 340200
4 × 255150
5 × 204120
6 × 170100
7 × 145800
8 × 127575
9 × 113400
10 × 102060
12 × 85050
14 × 72900
15 × 68040
18 × 56700
20 × 51030
21 × 48600
24 × 42525
25 × 40824
27 × 37800
28 × 36450
30 × 34020
35 × 29160
36 × 28350
40 × 25515
42 × 24300
45 × 22680
50 × 20412
54 × 18900
56 × 18225
60 × 17010
63 × 16200
70 × 14580
72 × 14175
75 × 13608
81 × 12600
84 × 12150
90 × 11340
100 × 10206
105 × 9720
108 × 9450
120 × 8505
126 × 8100
135 × 7560
140 × 7290
150 × 6804
162 × 6300
168 × 6075
175 × 5832
180 × 5670
189 × 5400
200 × 5103
210 × 4860
216 × 4725
225 × 4536
243 × 4200
252 × 4050
270 × 3780
280 × 3645
300 × 3402
315 × 3240
324 × 3150
350 × 2916
360 × 2835
378 × 2700
405 × 2520
420 × 2430
450 × 2268
486 × 2100
504 × 2025
525 × 1944
540 × 1890
567 × 1800
600 × 1701
630 × 1620
648 × 1575
675 × 1512
700 × 1458
729 × 1400
756 × 1350
810 × 1260
840 × 1215
900 × 1134
945 × 1080
972 × 1050
First multiples
1,020,600 · 2,041,200 (double) · 3,061,800 · 4,082,400 · 5,103,000 · 6,123,600 · 7,144,200 · 8,164,800 · 9,185,400 · 10,206,000

Sums & aliquot sequence

As consecutive integers: 340,199 + 340,200 + 340,201 204,118 + 204,119 + 204,120 + 204,121 + 204,122 145,797 + 145,798 + … + 145,803 113,396 + 113,397 + … + 113,404
Aliquot sequence: 1,020,600 3,045,360 6,396,000 16,719,456 30,548,688 48,577,200 129,292,368 204,713,040 520,561,968 841,255,632 2,002,062,384 4,655,484,720 11,643,900,624 — keeps growing

Continued fraction of √n

√1,020,600 = [1010; (4, 24, 1, 2, 3, 1, 2, 24, 1, 1, 2, 1, 1, 223, 1, 10, 1, 24, 36, 24, 1, 10, 1, 223, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million twenty thousand six hundred
Ordinal
1020600th
Binary
11111001001010111000
Octal
3711270
Hexadecimal
0xF92B8
Base64
D5K4
One's complement
4,293,946,695 (32-bit)
Scientific notation
1.0206 × 10⁶
As a duration
1,020,600 s = 11 days, 19 hours, 30 minutes
In other bases
ternary (3) 1220212000000
quaternary (4) 3321022320
quinary (5) 230124400
senary (6) 33513000
septenary (7) 11450340
nonary (9) 1825000
undecimal (11) 637879
duodecimal (12) 412760
tridecimal (13) 299709
tetradecimal (14) 1c7d20
pentadecimal (15) 152600

As an angle

1,020,600° = 2,835 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零二萬零六百
Chinese (financial)
壹佰零貳萬零陸佰
In other modern scripts
Eastern Arabic ١٠٢٠٦٠٠ Devanagari १०२०६०० Bengali ১০২০৬০০ Tamil ௧௦௨௦௬௦௦ Thai ๑๐๒๐๖๐๐ Tibetan ༡༠༢༠༦༠༠ Khmer ១០២០៦០០ Lao ໑໐໒໐໖໐໐ Burmese ၁၀၂၀၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020600, here are decompositions:

  • 11 + 1020589 = 1020600
  • 17 + 1020583 = 1020600
  • 43 + 1020557 = 1020600
  • 59 + 1020541 = 1020600
  • 71 + 1020529 = 1020600
  • 83 + 1020517 = 1020600
  • 109 + 1020491 = 1020600
  • 149 + 1020451 = 1020600

Showing the first eight; more decompositions exist.

Hex color
#0F92B8
RGB(15, 146, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.146.184.

Address
0.15.146.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.146.184

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 0600 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0600-02-01 (DMMYYYY (Euro, single-digit day))
  • 0600-10-02 (MMDYYYY (US, single-digit day))
  • 0600-02-10 (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 1,020,600 and was likely granted around 1911.

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°.