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1,009,216

1,009,216 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.).

1,009,216 (one million nine thousand two hundred sixteen) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 13 × 1,213. Its proper divisors sum to 1,149,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6640.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
6,129,001
Recamán's sequence
a(347,019) = 1,009,216
Square (n²)
1,018,516,934,656
Cube (n³)
1,027,903,586,725,789,696
Divisor count
28
σ(n) — sum of divisors
2,158,492
φ(n) — Euler's totient
465,408
Sum of prime factors
1,238

Primality

Prime factorization: 2 6 × 13 × 1213

Nearest primes: 1,009,207 (−9) · 1,009,237 (+21)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 208 · 416 · 832 · 1213 · 2426 · 4852 · 9704 · 15769 · 19408 · 31538 · 38816 · 63076 · 77632 · 126152 · 252304 · 504608 (half) · 1009216
Aliquot sum (sum of proper divisors): 1,149,276
Factor pairs (a × b = 1,009,216)
1 × 1009216
2 × 504608
4 × 252304
8 × 126152
13 × 77632
16 × 63076
26 × 38816
32 × 31538
52 × 19408
64 × 15769
104 × 9704
208 × 4852
416 × 2426
832 × 1213
First multiples
1,009,216 · 2,018,432 (double) · 3,027,648 · 4,036,864 · 5,046,080 · 6,055,296 · 7,064,512 · 8,073,728 · 9,082,944 · 10,092,160

Sums & aliquot sequence

As a sum of two squares: 96² + 1,000² = 296² + 960²
As consecutive integers: 77,626 + 77,627 + … + 77,638 7,821 + 7,822 + … + 7,948 226 + 227 + … + 1,438
Aliquot sequence: 1,009,216 1,149,276 1,532,396 1,149,304 1,234,616 1,223,224 1,093,376 1,089,616 1,285,232 1,485,424 1,411,712 1,479,988 1,109,998 652,994 326,500 387,668 330,784 — unresolved within range

Continued fraction of √n

√1,009,216 = [1004; (1, 1, 2, 15, 5, 1, 2, 2, 3, 5, 1, 10, 51, 2, 2, 1, 6, 10, 3, 5, 1, 14, 1, 2, …)]

Representations

In words
one million nine thousand two hundred sixteen
Ordinal
1009216th
Binary
11110110011001000000
Octal
3663100
Hexadecimal
0xF6640
Base64
D2ZA
One's complement
4,293,958,079 (32-bit)
Scientific notation
1.009216 × 10⁶
As a duration
1,009,216 s = 11 days, 16 hours, 20 minutes, 16 seconds
In other bases
ternary (3) 1220021101101
quaternary (4) 3312121000
quinary (5) 224243331
senary (6) 33344144
septenary (7) 11402215
nonary (9) 1807341
undecimal (11) 62a26a
duodecimal (12) 408054
tridecimal (13) 294490
tetradecimal (14) 1c3b0c
pentadecimal (15) 14e061

As an angle

1,009,216° = 2,803 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬九千二百一十六
Chinese (financial)
壹佰萬玖仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٠٩٢١٦ Devanagari १००९२१६ Bengali ১০০৯২১৬ Tamil ௧௦௦௯௨௧௬ Thai ๑๐๐๙๒๑๖ Tibetan ༡༠༠༩༢༡༦ Khmer ១០០៩២១៦ Lao ໑໐໐໙໒໑໖ Burmese ၁၀၀၉၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009216, here are decompositions:

  • 17 + 1009199 = 1009216
  • 23 + 1009193 = 1009216
  • 53 + 1009163 = 1009216
  • 59 + 1009157 = 1009216
  • 167 + 1009049 = 1009216
  • 179 + 1009037 = 1009216
  • 227 + 1008989 = 1009216
  • 233 + 1008983 = 1009216

Showing the first eight; more decompositions exist.

Hex color
#0F6640
RGB(15, 102, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.64.

Address
0.15.102.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.102.64

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

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 1,009,216 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°.