165,264
165,264 is a composite number, even.
165,264 (one hundred sixty-five thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 11 × 313. Its proper divisors sum to 301,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28590.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,440
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 462,561
- Square (n²)
- 27,312,189,696
- Cube (n³)
- 4,513,721,717,919,744
- Divisor count
- 40
- σ(n) — sum of divisors
- 467,232
- φ(n) — Euler's totient
- 49,920
- Sum of prime factors
- 335
Primality
Prime factorization: 2 4 × 3 × 11 × 313
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,264 = [406; (1, 1, 8, 1, 5, 2, 5, 2, 1, 7, 1, 2, 3, 2, 3, 2, 1, 7, 1, 2, 5, 2, 5, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand two hundred sixty-four
- Ordinal
- 165264th
- Binary
- 101000010110010000
- Octal
- 502620
- Hexadecimal
- 0x28590
- Base64
- AoWQ
- One's complement
- 4,294,802,031 (32-bit)
- Scientific notation
- 1.65264 × 10⁵
- As a duration
- 165,264 s = 1 day, 21 hours, 54 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρξεσξδʹ
- Chinese
- 一十六萬五千二百六十四
- Chinese (financial)
- 壹拾陸萬伍仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165264, here are decompositions:
- 17 + 165247 = 165264
- 31 + 165233 = 165264
- 53 + 165211 = 165264
- 61 + 165203 = 165264
- 83 + 165181 = 165264
- 103 + 165161 = 165264
- 131 + 165133 = 165264
- 181 + 165083 = 165264
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 96 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.144.
- Address
- 0.2.133.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.133.144
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 165,264 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 165264 first appears in π at position 802,924 of the decimal expansion (the 802,924ordinal-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°.