165,840
165,840 is a composite number, even.
165,840 (one hundred sixty-five thousand eight hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 691. Its proper divisors sum to 349,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x287D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 48,561
- Recamán's sequence
- a(196,312) = 165,840
- Square (n²)
- 27,502,905,600
- Cube (n³)
- 4,561,081,864,704,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 514,848
- φ(n) — Euler's totient
- 44,160
- Sum of prime factors
- 707
Primality
Prime factorization: 2 4 × 3 × 5 × 691
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,840 = [407; (4, 3, 1, 4, 18, 3, 3, 12, 2, 2, 1, 6, 54, 6, 1, 2, 2, 12, 3, 3, 18, 4, 1, 3, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand eight hundred forty
- Ordinal
- 165840th
- Binary
- 101000011111010000
- Octal
- 503720
- Hexadecimal
- 0x287D0
- Base64
- AofQ
- One's complement
- 4,294,801,455 (32-bit)
- Scientific notation
- 1.6584 × 10⁵
- As a duration
- 165,840 s = 1 day, 22 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρξεωμʹ
- Chinese
- 一十六萬五千八百四十
- Chinese (financial)
- 壹拾陸萬伍仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165840, here are decompositions:
- 7 + 165833 = 165840
- 11 + 165829 = 165840
- 23 + 165817 = 165840
- 29 + 165811 = 165840
- 41 + 165799 = 165840
- 61 + 165779 = 165840
- 127 + 165713 = 165840
- 131 + 165709 = 165840
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 9F 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.135.208.
- Address
- 0.2.135.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.135.208
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 165,840 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 165840 first appears in π at position 571,156 of the decimal expansion (the 571,156ordinal-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°.