106,920
106,920 is a composite number, even.
106,920 (one hundred six thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3⁵ × 5 × 11. Its proper divisors sum to 286,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 29,601
- Recamán's sequence
- a(24,368) = 106,920
- Square (n²)
- 11,431,886,400
- Cube (n³)
- 1,222,297,293,888,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 25,920
- Sum of prime factors
- 37
Primality
Prime factorization: 2 3 × 3 5 × 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,920 = [326; (1, 71, 1, 1, 1, 71, 1, 652)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred twenty
- Ordinal
- 106920th
- Binary
- 11010000110101000
- Octal
- 320650
- Hexadecimal
- 0x1A1A8
- Base64
- AaGo
- One's complement
- 4,294,860,375 (32-bit)
- Scientific notation
- 1.0692 × 10⁵
- As a duration
- 106,920 s = 1 day, 5 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρϛϡκʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋦·𝋠
- Chinese
- 十萬六千九百二十
- Chinese (financial)
- 壹拾萬陸仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106920, here are decompositions:
- 13 + 106907 = 106920
- 17 + 106903 = 106920
- 43 + 106877 = 106920
- 53 + 106867 = 106920
- 59 + 106861 = 106920
- 61 + 106859 = 106920
- 67 + 106853 = 106920
- 97 + 106823 = 106920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.168.
- Address
- 0.1.161.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.168
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 106,920 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 106920 first appears in π at position 375,940 of the decimal expansion (the 375,940ordinal-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°.