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1,051,200

1,051,200 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.).

1,051,200 (one million fifty-one thousand two hundred) is an even 7-digit number. It is a composite number with 126 divisors, and factors as 2⁶ × 3² × 5² × 73. Its proper divisors sum to 2,736,194, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100A40.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
21,501
Square (n²)
1,105,021,440,000
Cube (n³)
1,161,598,537,728,000,000
Divisor count
126
σ(n) — sum of divisors
3,787,394
φ(n) — Euler's totient
276,480
Sum of prime factors
101

Primality

Prime factorization: 2 6 × 3 2 × 5 2 × 73

Nearest primes: 1,051,181 (−19) · 1,051,247 (+47)

Divisors & multiples

All divisors (126)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 64 · 72 · 73 · 75 · 80 · 90 · 96 · 100 · 120 · 144 · 146 · 150 · 160 · 180 · 192 · 200 · 219 · 225 · 240 · 288 · 292 · 300 · 320 · 360 · 365 · 400 · 438 · 450 · 480 · 576 · 584 · 600 · 657 · 720 · 730 · 800 · 876 · 900 · 960 · 1095 · 1168 · 1200 · 1314 · 1440 · 1460 · 1600 · 1752 · 1800 · 1825 · 2190 · 2336 · 2400 · 2628 · 2880 · 2920 · 3285 · 3504 · 3600 · 3650 · 4380 · 4672 · 4800 · 5256 · 5475 · 5840 · 6570 · 7008 · 7200 · 7300 · 8760 · 10512 · 10950 · 11680 · 13140 · 14016 · 14400 · 14600 · 16425 · 17520 · 21024 · 21900 · 23360 · 26280 · 29200 · 32850 · 35040 · 42048 · 43800 · 52560 · 58400 · 65700 · 70080 · 87600 · 105120 · 116800 · 131400 · 175200 · 210240 · 262800 · 350400 · 525600 (half) · 1051200
Aliquot sum (sum of proper divisors): 2,736,194
Factor pairs (a × b = 1,051,200)
1 × 1051200
2 × 525600
3 × 350400
4 × 262800
5 × 210240
6 × 175200
8 × 131400
9 × 116800
10 × 105120
12 × 87600
15 × 70080
16 × 65700
18 × 58400
20 × 52560
24 × 43800
25 × 42048
30 × 35040
32 × 32850
36 × 29200
40 × 26280
45 × 23360
48 × 21900
50 × 21024
60 × 17520
64 × 16425
72 × 14600
73 × 14400
75 × 14016
80 × 13140
90 × 11680
96 × 10950
100 × 10512
120 × 8760
144 × 7300
146 × 7200
150 × 7008
160 × 6570
180 × 5840
192 × 5475
200 × 5256
219 × 4800
225 × 4672
240 × 4380
288 × 3650
292 × 3600
300 × 3504
320 × 3285
360 × 2920
365 × 2880
400 × 2628
438 × 2400
450 × 2336
480 × 2190
576 × 1825
584 × 1800
600 × 1752
657 × 1600
720 × 1460
730 × 1440
800 × 1314
876 × 1200
900 × 1168
960 × 1095
First multiples
1,051,200 · 2,102,400 (double) · 3,153,600 · 4,204,800 · 5,256,000 · 6,307,200 · 7,358,400 · 8,409,600 · 9,460,800 · 10,512,000

Sums & aliquot sequence

As a sum of two squares: 288² + 984² = 360² + 960² = 552² + 864²
As consecutive integers: 350,399 + 350,400 + 350,401 210,238 + 210,239 + 210,240 + 210,241 + 210,242 116,796 + 116,797 + … + 116,804 70,073 + 70,074 + … + 70,087
Aliquot sequence: 1,051,200 2,736,194 1,391,566 940,082 813,838 415,562 296,854 174,674 87,340 113,252 93,724 70,300 94,620 187,620 356,700 736,980 1,367,724 — unresolved within range

Continued fraction of √n

√1,051,200 = [1025; (3, 1, 1, 3, 3, 3, 1, 1, 3, 2050)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one million fifty-one thousand two hundred
Ordinal
1051200th
Binary
100000000101001000000
Octal
4005100
Hexadecimal
0x100A40
Base64
EApA
One's complement
4,293,916,095 (32-bit)
Scientific notation
1.0512 × 10⁶
As a duration
1,051,200 s = 12 days, 4 hours
In other bases
ternary (3) 1222101222100
quaternary (4) 10000221000
quinary (5) 232114300
senary (6) 34310400
septenary (7) 11635503
nonary (9) 1871870
undecimal (11) 658867
duodecimal (12) 428400
tridecimal (13) 2aa617
tetradecimal (14) 1d513a
pentadecimal (15) 15b700

As an angle

1,051,200° = 2,920 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 · ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢
Chinese
一百零五萬一千二百
Chinese (financial)
壹佰零伍萬壹仟貳佰
In other modern scripts
Eastern Arabic ١٠٥١٢٠٠ Devanagari १०५१२०० Bengali ১০৫১২০০ Tamil ௧௦௫௧௨௦௦ Thai ๑๐๕๑๒๐๐ Tibetan ༡༠༥༡༢༠༠ Khmer ១០៥១២០០ Lao ໑໐໕໑໒໐໐ Burmese ၁၀၅၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051200, here are decompositions:

  • 19 + 1051181 = 1051200
  • 23 + 1051177 = 1051200
  • 43 + 1051157 = 1051200
  • 47 + 1051153 = 1051200
  • 53 + 1051147 = 1051200
  • 61 + 1051139 = 1051200
  • 131 + 1051069 = 1051200
  • 149 + 1051051 = 1051200

Showing the first eight; more decompositions exist.

Hex color
#100A40
RGB(16, 10, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.64.

Address
0.16.10.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 1200 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1200-05-01 (DMMYYYY (Euro, single-digit day))
  • 1200-10-05 (MMDYYYY (US, single-digit day))
  • 1200-05-10 (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 1,051,200 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°.