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1,020,500

1,020,500 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.).

1,020,500 (one million twenty thousand five hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5³ × 13 × 157. Its proper divisors sum to 1,395,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9254.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
50,201
Square (n²)
1,041,420,250,000
Cube (n³)
1,062,769,365,125,000,000
Divisor count
48
σ(n) — sum of divisors
2,415,504
φ(n) — Euler's totient
374,400
Sum of prime factors
189

Primality

Prime factorization: 2 2 × 5 3 × 13 × 157

Nearest primes: 1,020,491 (−9) · 1,020,517 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 25 · 26 · 50 · 52 · 65 · 100 · 125 · 130 · 157 · 250 · 260 · 314 · 325 · 500 · 628 · 650 · 785 · 1300 · 1570 · 1625 · 2041 · 3140 · 3250 · 3925 · 4082 · 6500 · 7850 · 8164 · 10205 · 15700 · 19625 · 20410 · 39250 · 40820 · 51025 · 78500 · 102050 · 204100 · 255125 · 510250 (half) · 1020500
Aliquot sum (sum of proper divisors): 1,395,004
Factor pairs (a × b = 1,020,500)
1 × 1020500
2 × 510250
4 × 255125
5 × 204100
10 × 102050
13 × 78500
20 × 51025
25 × 40820
26 × 39250
50 × 20410
52 × 19625
65 × 15700
100 × 10205
125 × 8164
130 × 7850
157 × 6500
250 × 4082
260 × 3925
314 × 3250
325 × 3140
500 × 2041
628 × 1625
650 × 1570
785 × 1300
First multiples
1,020,500 · 2,041,000 (double) · 3,061,500 · 4,082,000 · 5,102,500 · 6,123,000 · 7,143,500 · 8,164,000 · 9,184,500 · 10,205,000

Sums & aliquot sequence

As a sum of two squares: 20² + 1,010² = 92² + 1,006² = 268² + 974² = 302² + 964²
As consecutive integers: 204,098 + 204,099 + 204,100 + 204,101 + 204,102 127,559 + 127,560 + … + 127,566 78,494 + 78,495 + … + 78,506 40,808 + 40,809 + … + 40,832
Aliquot sequence: 1,020,500 1,395,004 1,266,676 965,232 1,736,480 2,366,332 2,275,508 1,706,638 853,322 426,664 538,136 480,304 535,256 512,344 605,996 454,504 397,706 — unresolved within range

Continued fraction of √n

√1,020,500 = [1010; (5, 19, 1, 4, 9, 1, 19, 3, 3, 4, 1, 3, 126, 80, 1, 4, 4, 1, 5, 1, 2, 4, 1, 2, …)]

Representations

In words
one million twenty thousand five hundred
Ordinal
1020500th
Binary
11111001001001010100
Octal
3711124
Hexadecimal
0xF9254
Base64
D5JU
One's complement
4,293,946,795 (32-bit)
Scientific notation
1.0205 × 10⁶
As a duration
1,020,500 s = 11 days, 19 hours, 28 minutes, 20 seconds
In other bases
ternary (3) 1220211212022
quaternary (4) 3321021110
quinary (5) 230124000
senary (6) 33512312
septenary (7) 11450135
nonary (9) 1824768
undecimal (11) 637798
duodecimal (12) 412698
tridecimal (13) 299660
tetradecimal (14) 1c7c8c
pentadecimal (15) 152585

As an angle

1,020,500° = 2,834 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓍢
Chinese
一百零二萬零五百
Chinese (financial)
壹佰零貳萬零伍佰
In other modern scripts
Eastern Arabic ١٠٢٠٥٠٠ Devanagari १०२०५०० Bengali ১০২০৫০০ Tamil ௧௦௨௦௫௦௦ Thai ๑๐๒๐๕๐๐ Tibetan ༡༠༢༠༥༠༠ Khmer ១០២០៥០០ Lao ໑໐໒໐໕໐໐ Burmese ၁၀၂၀၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020500, here are decompositions:

  • 43 + 1020457 = 1020500
  • 139 + 1020361 = 1020500
  • 163 + 1020337 = 1020500
  • 199 + 1020301 = 1020500
  • 241 + 1020259 = 1020500
  • 277 + 1020223 = 1020500
  • 337 + 1020163 = 1020500
  • 421 + 1020079 = 1020500

Showing the first eight; more decompositions exist.

Hex color
#0F9254
RGB(15, 146, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.146.84.

Address
0.15.146.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.146.84

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 0500 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0500-02-01 (DMMYYYY (Euro, single-digit day))
  • 0500-10-02 (MMDYYYY (US, single-digit day))
  • 0500-02-10 (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 1,020,500 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°.