105,264
105,264 is a composite number, even.
105,264 (one hundred five thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 17 × 43. Its proper divisors sum to 213,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19B30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 462,501
- Recamán's sequence
- a(89,931) = 105,264
- Square (n²)
- 11,080,509,696
- Cube (n³)
- 1,166,378,772,639,744
- Divisor count
- 60
- σ(n) — sum of divisors
- 319,176
- φ(n) — Euler's totient
- 32,256
- Sum of prime factors
- 74
Primality
Prime factorization: 2 4 × 3 2 × 17 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,264 = [324; (2, 3, 1, 39, 1, 3, 2, 648)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand two hundred sixty-four
- Ordinal
- 105264th
- Binary
- 11001101100110000
- Octal
- 315460
- Hexadecimal
- 0x19B30
- Base64
- AZsw
- One's complement
- 4,294,862,031 (32-bit)
- Scientific notation
- 1.05264 × 10⁵
- As a duration
- 105,264 s = 1 day, 5 hours, 14 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρεσξδʹ
- Mayan (base 20)
- 𝋭·𝋣·𝋣·𝋤
- Chinese
- 一十萬五千二百六十四
- Chinese (financial)
- 壹拾萬伍仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105264, here are decompositions:
- 11 + 105253 = 105264
- 13 + 105251 = 105264
- 37 + 105227 = 105264
- 53 + 105211 = 105264
- 97 + 105167 = 105264
- 127 + 105137 = 105264
- 157 + 105107 = 105264
- 167 + 105097 = 105264
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.48.
- Address
- 0.1.155.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.155.48
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 105,264 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 105264 first appears in π at position 338,746 of the decimal expansion (the 338,746ordinal-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°.