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1,040,520

1,040,520 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.).

1,040,520 (one million forty thousand five hundred twenty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 13 × 23 × 29. Its proper divisors sum to 2,588,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE088.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical 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
250,401
Square (n²)
1,082,681,870,400
Cube (n³)
1,126,552,139,788,608,000
Divisor count
128
σ(n) — sum of divisors
3,628,800
φ(n) — Euler's totient
236,544
Sum of prime factors
79

Primality

Prime factorization: 2 3 × 3 × 5 × 13 × 23 × 29

Nearest primes: 1,040,503 (−17) · 1,040,521 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 20 · 23 · 24 · 26 · 29 · 30 · 39 · 40 · 46 · 52 · 58 · 60 · 65 · 69 · 78 · 87 · 92 · 104 · 115 · 116 · 120 · 130 · 138 · 145 · 156 · 174 · 184 · 195 · 230 · 232 · 260 · 276 · 290 · 299 · 312 · 345 · 348 · 377 · 390 · 435 · 460 · 520 · 552 · 580 · 598 · 667 · 690 · 696 · 754 · 780 · 870 · 897 · 920 · 1131 · 1160 · 1196 · 1334 · 1380 · 1495 · 1508 · 1560 · 1740 · 1794 · 1885 · 2001 · 2262 · 2392 · 2668 · 2760 · 2990 · 3016 · 3335 · 3480 · 3588 · 3770 · 4002 · 4485 · 4524 · 5336 · 5655 · 5980 · 6670 · 7176 · 7540 · 8004 · 8671 · 8970 · 9048 · 10005 · 11310 · 11960 · 13340 · 15080 · 16008 · 17342 · 17940 · 20010 · 22620 · 26013 · 26680 · 34684 · 35880 · 40020 · 43355 · 45240 · 52026 · 69368 · 80040 · 86710 · 104052 · 130065 · 173420 · 208104 · 260130 · 346840 · 520260 (half) · 1040520
Aliquot sum (sum of proper divisors): 2,588,280
Factor pairs (a × b = 1,040,520)
1 × 1040520
2 × 520260
3 × 346840
4 × 260130
5 × 208104
6 × 173420
8 × 130065
10 × 104052
12 × 86710
13 × 80040
15 × 69368
20 × 52026
23 × 45240
24 × 43355
26 × 40020
29 × 35880
30 × 34684
39 × 26680
40 × 26013
46 × 22620
52 × 20010
58 × 17940
60 × 17342
65 × 16008
69 × 15080
78 × 13340
87 × 11960
92 × 11310
104 × 10005
115 × 9048
116 × 8970
120 × 8671
130 × 8004
138 × 7540
145 × 7176
156 × 6670
174 × 5980
184 × 5655
195 × 5336
230 × 4524
232 × 4485
260 × 4002
276 × 3770
290 × 3588
299 × 3480
312 × 3335
345 × 3016
348 × 2990
377 × 2760
390 × 2668
435 × 2392
460 × 2262
520 × 2001
552 × 1885
580 × 1794
598 × 1740
667 × 1560
690 × 1508
696 × 1495
754 × 1380
780 × 1334
870 × 1196
897 × 1160
920 × 1131
First multiples
1,040,520 · 2,081,040 (double) · 3,121,560 · 4,162,080 · 5,202,600 · 6,243,120 · 7,283,640 · 8,324,160 · 9,364,680 · 10,405,200

Sums & aliquot sequence

As consecutive integers: 346,839 + 346,840 + 346,841 208,102 + 208,103 + 208,104 + 208,105 + 208,106 80,034 + 80,035 + … + 80,046 69,361 + 69,362 + … + 69,375
Aliquot sequence: 1,040,520 2,588,280 5,176,920 12,575,400 26,410,200 55,463,280 125,537,040 310,494,204 508,492,692 776,863,926 1,067,473,674 1,322,814,006 1,550,139,714 1,894,615,326 2,319,631,074 3,121,495,326 3,815,161,074 — unresolved within range

Continued fraction of √n

√1,040,520 = [1020; (17, 2040)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million forty thousand five hundred twenty
Ordinal
1040520th
Binary
11111110000010001000
Octal
3760210
Hexadecimal
0xFE088
Base64
D+CI
One's complement
4,293,926,775 (32-bit)
Scientific notation
1.04052 × 10⁶
As a duration
1,040,520 s = 12 days, 1 hour, 2 minutes
In other bases
ternary (3) 1221212022210
quaternary (4) 3332002020
quinary (5) 231244040
senary (6) 34145120
septenary (7) 11562405
nonary (9) 1855283
undecimal (11) 650838
duodecimal (12) 4221a0
tridecimal (13) 2a57c0
tetradecimal (14) 1d12ac
pentadecimal (15) 158480

As an angle

1,040,520° = 2,890 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零四萬零五百二十
Chinese (financial)
壹佰零肆萬零伍佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٠٥٢٠ Devanagari १०४०५२० Bengali ১০৪০৫২০ Tamil ௧௦௪௦௫௨௦ Thai ๑๐๔๐๕๒๐ Tibetan ༡༠༤༠༥༢༠ Khmer ១០៤០៥២០ Lao ໑໐໔໐໕໒໐ Burmese ၁၀၄၀၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040520, here are decompositions:

  • 17 + 1040503 = 1040520
  • 31 + 1040489 = 1040520
  • 37 + 1040483 = 1040520
  • 71 + 1040449 = 1040520
  • 73 + 1040447 = 1040520
  • 101 + 1040419 = 1040520
  • 109 + 1040411 = 1040520
  • 113 + 1040407 = 1040520

Showing the first eight; more decompositions exist.

Hex color
#0FE088
RGB(15, 224, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.224.136.

Address
0.15.224.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.224.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 0520 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0520-04-01 (DMMYYYY (Euro, single-digit day))
  • 0520-10-04 (MMDYYYY (US, single-digit day))
  • 0520-04-10 (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 1,040,520 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°.