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1,011,320

1,011,320 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.).

1,011,320 (one million eleven thousand three hundred twenty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 131 × 193. Its proper divisors sum to 1,293,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6E78.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious 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
231,101
Square (n²)
1,022,768,142,400
Cube (n³)
1,034,345,877,771,968,000
Divisor count
32
σ(n) — sum of divisors
2,304,720
φ(n) — Euler's totient
399,360
Sum of prime factors
335

Primality

Prime factorization: 2 3 × 5 × 131 × 193

Nearest primes: 1,011,289 (−31) · 1,011,331 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 131 · 193 · 262 · 386 · 524 · 655 · 772 · 965 · 1048 · 1310 · 1544 · 1930 · 2620 · 3860 · 5240 · 7720 · 25283 · 50566 · 101132 · 126415 · 202264 · 252830 · 505660 (half) · 1011320
Aliquot sum (sum of proper divisors): 1,293,400
Factor pairs (a × b = 1,011,320)
1 × 1011320
2 × 505660
4 × 252830
5 × 202264
8 × 126415
10 × 101132
20 × 50566
40 × 25283
131 × 7720
193 × 5240
262 × 3860
386 × 2620
524 × 1930
655 × 1544
772 × 1310
965 × 1048
First multiples
1,011,320 · 2,022,640 (double) · 3,033,960 · 4,045,280 · 5,056,600 · 6,067,920 · 7,079,240 · 8,090,560 · 9,101,880 · 10,113,200

Sums & aliquot sequence

As consecutive integers: 202,262 + 202,263 + 202,264 + 202,265 + 202,266 63,200 + 63,201 + … + 63,215 12,602 + 12,603 + … + 12,681 7,655 + 7,656 + … + 7,785
Aliquot sequence: 1,011,320 1,293,400 1,831,400 2,427,070 1,971,410 2,084,206 1,042,106 658,894 334,274 169,594 98,246 49,126 46,634 33,334 23,834 14,074 7,814 — unresolved within range

Continued fraction of √n

√1,011,320 = [1005; (1, 1, 1, 4, 3, 1, 64, 8, 1, 1, 35, 2, 1, 1, 2, 2, 1, 3, 20, 1, 9, 6, 2, 40, …)]

Representations

In words
one million eleven thousand three hundred twenty
Ordinal
1011320th
Binary
11110110111001111000
Octal
3667170
Hexadecimal
0xF6E78
Base64
D254
One's complement
4,293,955,975 (32-bit)
Scientific notation
1.01132 × 10⁶
As a duration
1,011,320 s = 11 days, 16 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 1220101021022
quaternary (4) 3312321320
quinary (5) 224330240
senary (6) 33402012
septenary (7) 11411312
nonary (9) 1811238
undecimal (11) 630902
duodecimal (12) 409308
tridecimal (13) 29541b
tetradecimal (14) 1c47b2
pentadecimal (15) 14e9b5

As an angle

1,011,320° = 2,809 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬一千三百二十
Chinese (financial)
壹佰零壹萬壹仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠١١٣٢٠ Devanagari १०११३२० Bengali ১০১১৩২০ Tamil ௧௦௧௧௩௨௦ Thai ๑๐๑๑๓๒๐ Tibetan ༡༠༡༡༣༢༠ Khmer ១០១១៣២០ Lao ໑໐໑໑໓໒໐ Burmese ၁၀၁၁၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011320, here are decompositions:

  • 31 + 1011289 = 1011320
  • 43 + 1011277 = 1011320
  • 103 + 1011217 = 1011320
  • 157 + 1011163 = 1011320
  • 181 + 1011139 = 1011320
  • 229 + 1011091 = 1011320
  • 241 + 1011079 = 1011320
  • 283 + 1011037 = 1011320

Showing the first eight; more decompositions exist.

Hex color
#0F6E78
RGB(15, 110, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.110.120.

Address
0.15.110.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.110.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 1320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1320-10-01 (MMDYYYY (US, single-digit day))
  • 1320-01-10 (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 1,011,320 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°.