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1,021,200

1,021,200 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.).

1,021,200 (one million twenty-one thousand two hundred) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5² × 23 × 37. Its proper divisors sum to 2,484,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9510.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
21,201
Square (n²)
1,042,849,440,000
Cube (n³)
1,064,957,848,128,000,000
Divisor count
120
σ(n) — sum of divisors
3,505,728
φ(n) — Euler's totient
253,440
Sum of prime factors
81

Primality

Prime factorization: 2 4 × 3 × 5 2 × 23 × 37

Nearest primes: 1,021,199 (−1) · 1,021,217 (+17)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 25 · 30 · 37 · 40 · 46 · 48 · 50 · 60 · 69 · 74 · 75 · 80 · 92 · 100 · 111 · 115 · 120 · 138 · 148 · 150 · 184 · 185 · 200 · 222 · 230 · 240 · 276 · 296 · 300 · 345 · 368 · 370 · 400 · 444 · 460 · 552 · 555 · 575 · 592 · 600 · 690 · 740 · 851 · 888 · 920 · 925 · 1104 · 1110 · 1150 · 1200 · 1380 · 1480 · 1702 · 1725 · 1776 · 1840 · 1850 · 2220 · 2300 · 2553 · 2760 · 2775 · 2960 · 3404 · 3450 · 3700 · 4255 · 4440 · 4600 · 5106 · 5520 · 5550 · 6808 · 6900 · 7400 · 8510 · 8880 · 9200 · 10212 · 11100 · 12765 · 13616 · 13800 · 14800 · 17020 · 20424 · 21275 · 22200 · 25530 · 27600 · 34040 · 40848 · 42550 · 44400 · 51060 · 63825 · 68080 · 85100 · 102120 · 127650 · 170200 · 204240 · 255300 · 340400 · 510600 (half) · 1021200
Aliquot sum (sum of proper divisors): 2,484,528
Factor pairs (a × b = 1,021,200)
1 × 1021200
2 × 510600
3 × 340400
4 × 255300
5 × 204240
6 × 170200
8 × 127650
10 × 102120
12 × 85100
15 × 68080
16 × 63825
20 × 51060
23 × 44400
24 × 42550
25 × 40848
30 × 34040
37 × 27600
40 × 25530
46 × 22200
48 × 21275
50 × 20424
60 × 17020
69 × 14800
74 × 13800
75 × 13616
80 × 12765
92 × 11100
100 × 10212
111 × 9200
115 × 8880
120 × 8510
138 × 7400
148 × 6900
150 × 6808
184 × 5550
185 × 5520
200 × 5106
222 × 4600
230 × 4440
240 × 4255
276 × 3700
296 × 3450
300 × 3404
345 × 2960
368 × 2775
370 × 2760
400 × 2553
444 × 2300
460 × 2220
552 × 1850
555 × 1840
575 × 1776
592 × 1725
600 × 1702
690 × 1480
740 × 1380
851 × 1200
888 × 1150
920 × 1110
925 × 1104
First multiples
1,021,200 · 2,042,400 (double) · 3,063,600 · 4,084,800 · 5,106,000 · 6,127,200 · 7,148,400 · 8,169,600 · 9,190,800 · 10,212,000

Sums & aliquot sequence

As consecutive integers: 340,399 + 340,400 + 340,401 204,238 + 204,239 + 204,240 + 204,241 + 204,242 68,073 + 68,074 + … + 68,087 44,389 + 44,390 + … + 44,411
Aliquot sequence: 1,021,200 2,484,528 3,991,248 7,466,352 12,663,312 20,050,368 39,263,712 63,803,784 113,926,776 171,935,064 360,246,456 672,816,744 1,149,395,466 1,303,811,574 1,504,398,138 1,504,398,150 2,914,961,850 — unresolved within range

Continued fraction of √n

√1,021,200 = [1010; (1, 1, 5, 7, 1, 2, 2, 16, 3, 1, 1, 1, 1, 4, 1, 80, 45, 1, 11, 1, 2, 1, 2, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand two hundred
Ordinal
1021200th
Binary
11111001010100010000
Octal
3712420
Hexadecimal
0xF9510
Base64
D5UQ
One's complement
4,293,946,095 (32-bit)
Scientific notation
1.0212 × 10⁶
As a duration
1,021,200 s = 11 days, 19 hours, 40 minutes
In other bases
ternary (3) 1220212211020
quaternary (4) 3321110100
quinary (5) 230134300
senary (6) 33515440
septenary (7) 11452155
nonary (9) 1825736
undecimal (11) 638274
duodecimal (12) 412b80
tridecimal (13) 299a7b
tetradecimal (14) 1c822c
pentadecimal (15) 1528a0

As an angle

1,021,200° = 2,836 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢
Chinese
一百零二萬一千二百
Chinese (financial)
壹佰零貳萬壹仟貳佰
In other modern scripts
Eastern Arabic ١٠٢١٢٠٠ Devanagari १०२१२०० Bengali ১০২১২০০ Tamil ௧௦௨௧௨௦௦ Thai ๑๐๒๑๒๐๐ Tibetan ༡༠༢༡༢༠༠ Khmer ១០២១២០០ Lao ໑໐໒໑໒໐໐ Burmese ၁၀၂၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021200, here are decompositions:

  • 17 + 1021183 = 1021200
  • 41 + 1021159 = 1021200
  • 43 + 1021157 = 1021200
  • 71 + 1021129 = 1021200
  • 73 + 1021127 = 1021200
  • 107 + 1021093 = 1021200
  • 109 + 1021091 = 1021200
  • 113 + 1021087 = 1021200

Showing the first eight; more decompositions exist.

Hex color
#0F9510
RGB(15, 149, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.149.16.

Address
0.15.149.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.149.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 1200 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1200-02-01 (DMMYYYY (Euro, single-digit day))
  • 1200-10-02 (MMDYYYY (US, single-digit day))
  • 1200-02-10 (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 1,021,200 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°.