106,420
106,420 is a composite number, even.
106,420 (one hundred six thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 313. Its proper divisors sum to 130,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19FB4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 24,601
- Recamán's sequence
- a(252,340) = 106,420
- Square (n²)
- 11,325,216,400
- Cube (n³)
- 1,205,229,529,288,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 237,384
- φ(n) — Euler's totient
- 39,936
- Sum of prime factors
- 339
Primality
Prime factorization: 2 2 × 5 × 17 × 313
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,420 = [326; (4, 1, 1, 8, 34, 4, 1, 1, 162, 1, 1, 4, 34, 8, 1, 1, 4, 652)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand four hundred twenty
- Ordinal
- 106420th
- Binary
- 11001111110110100
- Octal
- 317664
- Hexadecimal
- 0x19FB4
- Base64
- AZ+0
- One's complement
- 4,294,860,875 (32-bit)
- Scientific notation
- 1.0642 × 10⁵
- As a duration
- 106,420 s = 1 day, 5 hours, 33 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρϛυκʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋡·𝋠
- Chinese
- 十萬六千四百二十
- Chinese (financial)
- 壹拾萬陸仟肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106420, here are decompositions:
- 3 + 106417 = 106420
- 23 + 106397 = 106420
- 29 + 106391 = 106420
- 47 + 106373 = 106420
- 53 + 106367 = 106420
- 71 + 106349 = 106420
- 89 + 106331 = 106420
- 101 + 106319 = 106420
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.180.
- Address
- 0.1.159.180
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.159.180
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 106,420 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.