165,120
165,120 is a composite number, even.
165,120 (one hundred sixty-five thousand one hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 5 × 43. Its proper divisors sum to 374,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28500.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,561
- Square (n²)
- 27,264,614,400
- Cube (n³)
- 4,501,933,129,728,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 539,616
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 67
Primality
Prime factorization: 2 8 × 3 × 5 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,120 = [406; (2, 1, 6, 6, 6, 1, 2, 812)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand one hundred twenty
- Ordinal
- 165120th
- Binary
- 101000010100000000
- Octal
- 502400
- Hexadecimal
- 0x28500
- Base64
- AoUA
- One's complement
- 4,294,802,175 (32-bit)
- Scientific notation
- 1.6512 × 10⁵
- As a duration
- 165,120 s = 1 day, 21 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρξερκʹ
- Chinese
- 一十六萬五千一百二十
- Chinese (financial)
- 壹拾陸萬伍仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165120, here are decompositions:
- 17 + 165103 = 165120
- 31 + 165089 = 165120
- 37 + 165083 = 165120
- 41 + 165079 = 165120
- 61 + 165059 = 165120
- 71 + 165049 = 165120
- 73 + 165047 = 165120
- 79 + 165041 = 165120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 94 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.0.
- Address
- 0.2.133.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.133.0
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 165,120 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 165120 first appears in π at position 744,386 of the decimal expansion (the 744,386ordinal-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°.