106,728
106,728 is a composite number, even.
106,728 (one hundred six thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 4,447. Its proper divisors sum to 160,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A0E8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 827,601
- Recamán's sequence
- a(81,403) = 106,728
- Square (n²)
- 11,390,865,984
- Cube (n³)
- 1,215,724,344,740,352
- Divisor count
- 16
- σ(n) — sum of divisors
- 266,880
- φ(n) — Euler's totient
- 35,568
- Sum of prime factors
- 4,456
Primality
Prime factorization: 2 3 × 3 × 4447
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,728 = [326; (1, 2, 3, 1, 27, 1, 1, 1, 3, 3, 8, 1, 8, 1, 2, 1, 1, 10, 1, 8, 27, 8, 1, 10, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand seven hundred twenty-eight
- Ordinal
- 106728th
- Binary
- 11010000011101000
- Octal
- 320350
- Hexadecimal
- 0x1A0E8
- Base64
- AaDo
- One's complement
- 4,294,860,567 (32-bit)
- Scientific notation
- 1.06728 × 10⁵
- As a duration
- 106,728 s = 1 day, 5 hours, 38 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛψκηʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋰·𝋨
- Chinese
- 十萬六千七百二十八
- Chinese (financial)
- 壹拾萬陸仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106728, here are decompositions:
- 7 + 106721 = 106728
- 29 + 106699 = 106728
- 47 + 106681 = 106728
- 59 + 106669 = 106728
- 67 + 106661 = 106728
- 71 + 106657 = 106728
- 79 + 106649 = 106728
- 101 + 106627 = 106728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.232.
- Address
- 0.1.160.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.232
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 106,728 and was likely granted around 1870.
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°.