164,320
164,320 is a composite number, even.
164,320 (one hundred sixty-four thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 13 × 79. Its proper divisors sum to 259,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x281E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 23,461
- Square (n²)
- 27,001,062,400
- Cube (n³)
- 4,436,814,573,568,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 423,360
- φ(n) — Euler's totient
- 59,904
- Sum of prime factors
- 107
Primality
Prime factorization: 2 5 × 5 × 13 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√164,320 = [405; (2, 1, 2, 1, 20, 16, 2, 89, 1, 1, 2, 9, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-four thousand three hundred twenty
- Ordinal
- 164320th
- Binary
- 101000000111100000
- Octal
- 500740
- Hexadecimal
- 0x281E0
- Base64
- AoHg
- One's complement
- 4,294,802,975 (32-bit)
- Scientific notation
- 1.6432 × 10⁵
- As a duration
- 164,320 s = 1 day, 21 hours, 38 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρξδτκʹ
- Chinese
- 一十六萬四千三百二十
- Chinese (financial)
- 壹拾陸萬肆仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164320, here are decompositions:
- 11 + 164309 = 164320
- 29 + 164291 = 164320
- 41 + 164279 = 164320
- 53 + 164267 = 164320
- 71 + 164249 = 164320
- 89 + 164231 = 164320
- 137 + 164183 = 164320
- 173 + 164147 = 164320
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 87 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.129.224.
- Address
- 0.2.129.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.129.224
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 164,320 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 164320 first appears in π at position 280,765 of the decimal expansion (the 280,765ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.