106,960
106,960 is a composite number, even.
106,960 (one hundred six thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 191. Its proper divisors sum to 178,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 69,601
- Flips to (rotate 180°)
- 96,901
- Recamán's sequence
- a(81,975) = 106,960
- Square (n²)
- 11,440,441,600
- Cube (n³)
- 1,223,669,633,536,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 285,696
- φ(n) — Euler's totient
- 36,480
- Sum of prime factors
- 211
Primality
Prime factorization: 2 4 × 5 × 7 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,960 = [327; (21, 10, 5, 1, 3, 1, 5, 10, 21, 654)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred sixty
- Ordinal
- 106960th
- Binary
- 11010000111010000
- Octal
- 320720
- Hexadecimal
- 0x1A1D0
- Base64
- AaHQ
- One's complement
- 4,294,860,335 (32-bit)
- Scientific notation
- 1.0696 × 10⁵
- As a duration
- 106,960 s = 1 day, 5 hours, 42 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρϛϡξʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋨·𝋠
- Chinese
- 十萬六千九百六十
- Chinese (financial)
- 壹拾萬陸仟玖佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106960, here are decompositions:
- 3 + 106957 = 106960
- 11 + 106949 = 106960
- 23 + 106937 = 106960
- 53 + 106907 = 106960
- 83 + 106877 = 106960
- 89 + 106871 = 106960
- 101 + 106859 = 106960
- 107 + 106853 = 106960
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.208.
- Address
- 0.1.161.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.208
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 106,960 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 106960 first appears in π at position 214,894 of the decimal expansion (the 214,894ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.