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1,015,200

1,015,200 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.).

1,015,200 (one million fifteen thousand two hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3³ × 5² × 47. Its proper divisors sum to 2,734,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7DA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence 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
25,101
Recamán's sequence
a(364,467) = 1,015,200
Square (n²)
1,030,631,040,000
Cube (n³)
1,046,296,631,808,000,000
Divisor count
144
σ(n) — sum of divisors
3,749,760
φ(n) — Euler's totient
264,960
Sum of prime factors
76

Primality

Prime factorization: 2 5 × 3 3 × 5 2 × 47

Nearest primes: 1,015,199 (−1) · 1,015,207 (+7)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 27 · 30 · 32 · 36 · 40 · 45 · 47 · 48 · 50 · 54 · 60 · 72 · 75 · 80 · 90 · 94 · 96 · 100 · 108 · 120 · 135 · 141 · 144 · 150 · 160 · 180 · 188 · 200 · 216 · 225 · 235 · 240 · 270 · 282 · 288 · 300 · 360 · 376 · 400 · 423 · 432 · 450 · 470 · 480 · 540 · 564 · 600 · 675 · 705 · 720 · 752 · 800 · 846 · 864 · 900 · 940 · 1080 · 1128 · 1175 · 1200 · 1269 · 1350 · 1410 · 1440 · 1504 · 1692 · 1800 · 1880 · 2115 · 2160 · 2256 · 2350 · 2400 · 2538 · 2700 · 2820 · 3384 · 3525 · 3600 · 3760 · 4230 · 4320 · 4512 · 4700 · 5076 · 5400 · 5640 · 6345 · 6768 · 7050 · 7200 · 7520 · 8460 · 9400 · 10152 · 10575 · 10800 · 11280 · 12690 · 13536 · 14100 · 16920 · 18800 · 20304 · 21150 · 21600 · 22560 · 25380 · 28200 · 31725 · 33840 · 37600 · 40608 · 42300 · 50760 · 56400 · 63450 · 67680 · 84600 · 101520 · 112800 · 126900 · 169200 · 203040 · 253800 · 338400 · 507600 (half) · 1015200
Aliquot sum (sum of proper divisors): 2,734,560
Factor pairs (a × b = 1,015,200)
1 × 1015200
2 × 507600
3 × 338400
4 × 253800
5 × 203040
6 × 169200
8 × 126900
9 × 112800
10 × 101520
12 × 84600
15 × 67680
16 × 63450
18 × 56400
20 × 50760
24 × 42300
25 × 40608
27 × 37600
30 × 33840
32 × 31725
36 × 28200
40 × 25380
45 × 22560
47 × 21600
48 × 21150
50 × 20304
54 × 18800
60 × 16920
72 × 14100
75 × 13536
80 × 12690
90 × 11280
94 × 10800
96 × 10575
100 × 10152
108 × 9400
120 × 8460
135 × 7520
141 × 7200
144 × 7050
150 × 6768
160 × 6345
180 × 5640
188 × 5400
200 × 5076
216 × 4700
225 × 4512
235 × 4320
240 × 4230
270 × 3760
282 × 3600
288 × 3525
300 × 3384
360 × 2820
376 × 2700
400 × 2538
423 × 2400
432 × 2350
450 × 2256
470 × 2160
480 × 2115
540 × 1880
564 × 1800
600 × 1692
675 × 1504
705 × 1440
720 × 1410
752 × 1350
800 × 1269
846 × 1200
864 × 1175
900 × 1128
940 × 1080
First multiples
1,015,200 · 2,030,400 (double) · 3,045,600 · 4,060,800 · 5,076,000 · 6,091,200 · 7,106,400 · 8,121,600 · 9,136,800 · 10,152,000

Sums & aliquot sequence

As consecutive integers: 338,399 + 338,400 + 338,401 203,038 + 203,039 + 203,040 + 203,041 + 203,042 112,796 + 112,797 + … + 112,804 67,673 + 67,674 + … + 67,687
Aliquot sequence: 1,015,200 2,734,560 6,961,896 12,593,304 21,513,756 33,523,044 44,697,420 104,452,308 167,627,052 256,725,604 198,086,516 168,956,272 158,396,536 144,381,464 126,639,136 143,346,986 71,724,538 — unresolved within range

Continued fraction of √n

√1,015,200 = [1007; (1, 1, 3, 223, 1, 1, 1, 1, 1, 1, 1, 223, 3, 1, 1, 2014)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million fifteen thousand two hundred
Ordinal
1015200th
Binary
11110111110110100000
Octal
3676640
Hexadecimal
0xF7DA0
Base64
D32g
One's complement
4,293,952,095 (32-bit)
Scientific notation
1.0152 × 10⁶
As a duration
1,015,200 s = 11 days, 18 hours
In other bases
ternary (3) 1220120121000
quaternary (4) 3313312200
quinary (5) 224441300
senary (6) 33432000
septenary (7) 11425524
nonary (9) 1816530
undecimal (11) 63380a
duodecimal (12) 40b600
tridecimal (13) 297114
tetradecimal (14) 1c5d84
pentadecimal (15) 150c00

As an angle

1,015,200° = 2,820 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 · ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Chinese
一百零一萬五千二百
Chinese (financial)
壹佰零壹萬伍仟貳佰
In other modern scripts
Eastern Arabic ١٠١٥٢٠٠ Devanagari १०१५२०० Bengali ১০১৫২০০ Tamil ௧௦௧௫௨௦௦ Thai ๑๐๑๕๒๐๐ Tibetan ༡༠༡༥༢༠༠ Khmer ១០១៥២០០ Lao ໑໐໑໕໒໐໐ Burmese ၁၀၁၅၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015200, here are decompositions:

  • 29 + 1015171 = 1015200
  • 37 + 1015163 = 1015200
  • 41 + 1015159 = 1015200
  • 61 + 1015139 = 1015200
  • 73 + 1015127 = 1015200
  • 103 + 1015097 = 1015200
  • 107 + 1015093 = 1015200
  • 127 + 1015073 = 1015200

Showing the first eight; more decompositions exist.

Hex color
#0F7DA0
RGB(15, 125, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.125.160.

Address
0.15.125.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.125.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 5200 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5200-10-01 (MMDYYYY (US, single-digit day))
  • 5200-01-10 (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 1,015,200 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°.