167,120
167,120 is a composite number, even.
167,120 (one hundred sixty-seven thousand one hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 2,089. Its proper divisors sum to 221,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28CD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,761
- Recamán's sequence
- a(471,767) = 167,120
- Square (n²)
- 27,929,094,400
- Cube (n³)
- 4,667,510,256,128,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 388,740
- φ(n) — Euler's totient
- 66,816
- Sum of prime factors
- 2,102
Primality
Prime factorization: 2 4 × 5 × 2089
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√167,120 = [408; (1, 4, 12, 1, 1, 2, 1, 4, 1, 11, 1, 19, 51, 19, 1, 11, 1, 4, 1, 2, 1, 1, 12, 4, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-seven thousand one hundred twenty
- Ordinal
- 167120th
- Binary
- 101000110011010000
- Octal
- 506320
- Hexadecimal
- 0x28CD0
- Base64
- AozQ
- One's complement
- 4,294,800,175 (32-bit)
- Scientific notation
- 1.6712 × 10⁵
- As a duration
- 167,120 s = 1 day, 22 hours, 25 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρξζρκʹ
- Chinese
- 一十六萬七千一百二十
- Chinese (financial)
- 壹拾陸萬柒仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167120, here are decompositions:
- 3 + 167117 = 167120
- 7 + 167113 = 167120
- 13 + 167107 = 167120
- 43 + 167077 = 167120
- 73 + 167047 = 167120
- 97 + 167023 = 167120
- 103 + 167017 = 167120
- 211 + 166909 = 167120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 B3 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.140.208.
- Address
- 0.2.140.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.140.208
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 167,120 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°.