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1,012,164

1,012,164 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.).

1,012,164 (one million twelve thousand one hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,347. Its proper divisors sum to 1,349,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF71C4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
4,612,101
Square (n²)
1,024,475,962,896
Cube (n³)
1,036,937,688,508,666,944
Divisor count
12
σ(n) — sum of divisors
2,361,744
φ(n) — Euler's totient
337,384
Sum of prime factors
84,354

Primality

Prime factorization: 2 2 × 3 × 84347

Nearest primes: 1,012,159 (−5) · 1,012,171 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 84347 · 168694 · 253041 · 337388 · 506082 (half) · 1012164
Aliquot sum (sum of proper divisors): 1,349,580
Factor pairs (a × b = 1,012,164)
1 × 1012164
2 × 506082
3 × 337388
4 × 253041
6 × 168694
12 × 84347
First multiples
1,012,164 · 2,024,328 (double) · 3,036,492 · 4,048,656 · 5,060,820 · 6,072,984 · 7,085,148 · 8,097,312 · 9,109,476 · 10,121,640

Sums & aliquot sequence

As consecutive integers: 337,387 + 337,388 + 337,389 126,517 + 126,518 + … + 126,524 42,162 + 42,163 + … + 42,185
Aliquot sequence: 1,012,164 1,349,580 2,488,884 3,344,076 5,555,724 7,445,796 12,153,084 17,979,396 26,181,084 39,782,436 56,235,612 79,214,500 93,791,060 122,025,772 110,932,604 92,284,732 73,027,268 — unresolved within range

Continued fraction of √n

√1,012,164 = [1006; (15, 1, 2, 1, 1, 3, 1, 1, 5, 2, 4, 23, 2, 4, 3, 2, 4, 2, 2, 9, 1, 1, 1, 1, …)]

Representations

In words
one million twelve thousand one hundred sixty-four
Ordinal
1012164th
Binary
11110111000111000100
Octal
3670704
Hexadecimal
0xF71C4
Base64
D3HE
One's complement
4,293,955,131 (32-bit)
Scientific notation
1.012164 × 10⁶
As a duration
1,012,164 s = 11 days, 17 hours, 9 minutes, 24 seconds
In other bases
ternary (3) 1220102102120
quaternary (4) 3313013010
quinary (5) 224342124
senary (6) 33405540
septenary (7) 11413626
nonary (9) 1812376
undecimal (11) 6314aa
duodecimal (12) 4098b0
tridecimal (13) 29591a
tetradecimal (14) 1c4c16
pentadecimal (15) 14ed79

As an angle

1,012,164° = 2,811 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千一百六十四
Chinese (financial)
壹佰零壹萬貳仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠١٢١٦٤ Devanagari १०१२१६४ Bengali ১০১২১৬৪ Tamil ௧௦௧௨௧௬௪ Thai ๑๐๑๒๑๖๔ Tibetan ༡༠༡༢༡༦༤ Khmer ១០១២១៦៤ Lao ໑໐໑໒໑໖໔ Burmese ၁၀၁၂၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012164, here are decompositions:

  • 5 + 1012159 = 1012164
  • 17 + 1012147 = 1012164
  • 31 + 1012133 = 1012164
  • 61 + 1012103 = 1012164
  • 67 + 1012097 = 1012164
  • 71 + 1012093 = 1012164
  • 157 + 1012007 = 1012164
  • 191 + 1011973 = 1012164

Showing the first eight; more decompositions exist.

Hex color
#0F71C4
RGB(15, 113, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.196.

Address
0.15.113.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.113.196

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2164 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2164-10-01 (MMDYYYY (US, single-digit day))
  • 2164-01-10 (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 1,012,164 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°.