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1,041,600

1,041,600 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.).

1,041,600 (one million forty-one thousand six hundred) is an even 7-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3 × 5² × 7 × 31. Its proper divisors sum to 2,989,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE4C0.

Abundant 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
61,401
Square (n²)
1,084,930,560,000
Cube (n³)
1,130,063,671,296,000,000
Divisor count
168
σ(n) — sum of divisors
4,031,488
φ(n) — Euler's totient
230,400
Sum of prime factors
63

Primality

Prime factorization: 2 6 × 3 × 5 2 × 7 × 31

Nearest primes: 1,041,583 (−17) · 1,041,617 (+17)

Divisors & multiples

All divisors (168)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 31 · 32 · 35 · 40 · 42 · 48 · 50 · 56 · 60 · 62 · 64 · 70 · 75 · 80 · 84 · 93 · 96 · 100 · 105 · 112 · 120 · 124 · 140 · 150 · 155 · 160 · 168 · 175 · 186 · 192 · 200 · 210 · 217 · 224 · 240 · 248 · 280 · 300 · 310 · 320 · 336 · 350 · 372 · 400 · 420 · 434 · 448 · 465 · 480 · 496 · 525 · 560 · 600 · 620 · 651 · 672 · 700 · 744 · 775 · 800 · 840 · 868 · 930 · 960 · 992 · 1050 · 1085 · 1120 · 1200 · 1240 · 1302 · 1344 · 1400 · 1488 · 1550 · 1600 · 1680 · 1736 · 1860 · 1984 · 2100 · 2170 · 2240 · 2325 · 2400 · 2480 · 2604 · 2800 · 2976 · 3100 · 3255 · 3360 · 3472 · 3720 · 4200 · 4340 · 4650 · 4800 · 4960 · 5208 · 5425 · 5600 · 5952 · 6200 · 6510 · 6720 · 6944 · 7440 · 8400 · 8680 · 9300 · 9920 · 10416 · 10850 · 11200 · 12400 · 13020 · 13888 · 14880 · 16275 · 16800 · 17360 · 18600 · 20832 · 21700 · 24800 · 26040 · 29760 · 32550 · 33600 · 34720 · 37200 · 41664 · 43400 · 49600 · 52080 · 65100 · 69440 · 74400 · 86800 · 104160 · 130200 · 148800 · 173600 · 208320 · 260400 · 347200 · 520800 (half) · 1041600
Aliquot sum (sum of proper divisors): 2,989,888
Factor pairs (a × b = 1,041,600)
1 × 1041600
2 × 520800
3 × 347200
4 × 260400
5 × 208320
6 × 173600
7 × 148800
8 × 130200
10 × 104160
12 × 86800
14 × 74400
15 × 69440
16 × 65100
20 × 52080
21 × 49600
24 × 43400
25 × 41664
28 × 37200
30 × 34720
31 × 33600
32 × 32550
35 × 29760
40 × 26040
42 × 24800
48 × 21700
50 × 20832
56 × 18600
60 × 17360
62 × 16800
64 × 16275
70 × 14880
75 × 13888
80 × 13020
84 × 12400
93 × 11200
96 × 10850
100 × 10416
105 × 9920
112 × 9300
120 × 8680
124 × 8400
140 × 7440
150 × 6944
155 × 6720
160 × 6510
168 × 6200
175 × 5952
186 × 5600
192 × 5425
200 × 5208
210 × 4960
217 × 4800
224 × 4650
240 × 4340
248 × 4200
280 × 3720
300 × 3472
310 × 3360
320 × 3255
336 × 3100
350 × 2976
372 × 2800
400 × 2604
420 × 2480
434 × 2400
448 × 2325
465 × 2240
480 × 2170
496 × 2100
525 × 1984
560 × 1860
600 × 1736
620 × 1680
651 × 1600
672 × 1550
700 × 1488
744 × 1400
775 × 1344
800 × 1302
840 × 1240
868 × 1200
930 × 1120
960 × 1085
992 × 1050
First multiples
1,041,600 · 2,083,200 (double) · 3,124,800 · 4,166,400 · 5,208,000 · 6,249,600 · 7,291,200 · 8,332,800 · 9,374,400 · 10,416,000

Sums & aliquot sequence

As consecutive integers: 347,199 + 347,200 + 347,201 208,318 + 208,319 + 208,320 + 208,321 + 208,322 148,797 + 148,798 + … + 148,803 69,433 + 69,434 + … + 69,447
Aliquot sequence: 1,041,600 2,989,888 3,740,096 3,681,784 3,325,616 4,364,368 4,299,140 4,940,860 5,928,908 4,486,084 3,405,800 4,513,150 3,881,402 2,899,270 2,794,058 1,397,032 2,030,168 — unresolved within range

Continued fraction of √n

√1,041,600 = [1020; (1, 1, 2, 2, 1, 19, 1, 2, 2, 1, 1, 2040)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million forty-one thousand six hundred
Ordinal
1041600th
Binary
11111110010011000000
Octal
3762300
Hexadecimal
0xFE4C0
Base64
D+TA
One's complement
4,293,925,695 (32-bit)
Scientific notation
1.0416 × 10⁶
As a duration
1,041,600 s = 12 days, 1 hour, 20 minutes
In other bases
ternary (3) 1221220210210
quaternary (4) 3332103000
quinary (5) 231312400
senary (6) 34154120
septenary (7) 11565510
nonary (9) 1856723
undecimal (11) 65162a
duodecimal (12) 422940
tridecimal (13) 2a6141
tetradecimal (14) 1d1840
pentadecimal (15) 158950

As an angle

1,041,600° = 2,893 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零四萬一千六百
Chinese (financial)
壹佰零肆萬壹仟陸佰
In other modern scripts
Eastern Arabic ١٠٤١٦٠٠ Devanagari १०४१६०० Bengali ১০৪১৬০০ Tamil ௧௦௪௧௬௦௦ Thai ๑๐๔๑๖๐๐ Tibetan ༡༠༤༡༦༠༠ Khmer ១០៤១៦០០ Lao ໑໐໔໑໖໐໐ Burmese ၁၀၄၁၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041600, here are decompositions:

  • 17 + 1041583 = 1041600
  • 23 + 1041577 = 1041600
  • 29 + 1041571 = 1041600
  • 37 + 1041563 = 1041600
  • 41 + 1041559 = 1041600
  • 47 + 1041553 = 1041600
  • 71 + 1041529 = 1041600
  • 83 + 1041517 = 1041600

Showing the first eight; more decompositions exist.

Hex color
#0FE4C0
RGB(15, 228, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.228.192.

Address
0.15.228.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.228.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 1600 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1600-04-01 (DMMYYYY (Euro, single-digit day))
  • 1600-10-04 (MMDYYYY (US, single-digit day))
  • 1600-04-10 (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 1,041,600 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°.