164,640
164,640 is a composite number, even.
164,640 (one hundred sixty-four thousand six hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7³. Its proper divisors sum to 440,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28320.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 46,461
- Recamán's sequence
- a(472,735) = 164,640
- Square (n²)
- 27,106,329,600
- Cube (n³)
- 4,462,786,105,344,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 604,800
- φ(n) — Euler's totient
- 37,632
- Sum of prime factors
- 39
Primality
Prime factorization: 2 5 × 3 × 5 × 7 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√164,640 = [405; (1, 3, 7, 16, 2, 2, 1, 3, 2, 2, 1, 15, 1, 5, 1, 3, 3, 1, 1, 15, 1, 201, 1, 15, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-four thousand six hundred forty
- Ordinal
- 164640th
- Binary
- 101000001100100000
- Octal
- 501440
- Hexadecimal
- 0x28320
- Base64
- AoMg
- One's complement
- 4,294,802,655 (32-bit)
- Scientific notation
- 1.6464 × 10⁵
- As a duration
- 164,640 s = 1 day, 21 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρξδχμʹ
- Chinese
- 一十六萬四千六百四十
- Chinese (financial)
- 壹拾陸萬肆仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164640, here are decompositions:
- 13 + 164627 = 164640
- 17 + 164623 = 164640
- 19 + 164621 = 164640
- 23 + 164617 = 164640
- 41 + 164599 = 164640
- 53 + 164587 = 164640
- 59 + 164581 = 164640
- 71 + 164569 = 164640
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 8C A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.131.32.
- Address
- 0.2.131.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.131.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 164,640 and was likely granted around 1874.
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°.