163,320
163,320 is a composite number, even.
163,320 (one hundred sixty-three thousand three hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,361. Its proper divisors sum to 327,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27DF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 23,361
- Recamán's sequence
- a(51,392) = 163,320
- Square (n²)
- 26,673,422,400
- Cube (n³)
- 4,356,303,346,368,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 490,320
- φ(n) — Euler's totient
- 43,520
- Sum of prime factors
- 1,375
Primality
Prime factorization: 2 3 × 3 × 5 × 1361
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√163,320 = [404; (7, 1, 3, 2, 1, 4, 11, 5, 1, 5, 1, 5, 2, 2, 2, 1, 39, 1, 2, 2, 2, 5, 1, 5, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-three thousand three hundred twenty
- Ordinal
- 163320th
- Binary
- 100111110111111000
- Octal
- 476770
- Hexadecimal
- 0x27DF8
- Base64
- An34
- One's complement
- 4,294,803,975 (32-bit)
- Scientific notation
- 1.6332 × 10⁵
- As a duration
- 163,320 s = 1 day, 21 hours, 22 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρξγτκʹ
- Chinese
- 一十六萬三千三百二十
- Chinese (financial)
- 壹拾陸萬參仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 163320, here are decompositions:
- 11 + 163309 = 163320
- 13 + 163307 = 163320
- 61 + 163259 = 163320
- 71 + 163249 = 163320
- 97 + 163223 = 163320
- 109 + 163211 = 163320
- 127 + 163193 = 163320
- 139 + 163181 = 163320
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A7 B7 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.125.248.
- Address
- 0.2.125.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.125.248
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 163,320 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 163320 first appears in π at position 748,112 of the decimal expansion (the 748,112ordinal-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°.