106,496
106,496 is a composite number, even.
106,496 (one hundred six thousand four hundred ninety-six) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2¹³ × 13. Its proper divisors sum to 122,866, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 694,601
- Recamán's sequence
- a(88,195) = 106,496
- Square (n²)
- 11,341,398,016
- Cube (n³)
- 1,207,813,523,111,936
- Divisor count
- 28
- σ(n) — sum of divisors
- 229,362
- φ(n) — Euler's totient
- 49,152
- Sum of prime factors
- 39
Primality
Prime factorization: 2 13 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,496 = [326; (2, 1, 27, 1, 2, 2, 4, 1, 2, 2, 6, 2, 4, 9, 1, 37, 2, 25, 1, 1, 1, 1, 2, 2, …)]
Representations
- In words
- one hundred six thousand four hundred ninety-six
- Ordinal
- 106496th
- Binary
- 11010000000000000
- Octal
- 320000
- Hexadecimal
- 0x1A000
- Base64
- AaAA
- One's complement
- 4,294,860,799 (32-bit)
- Scientific notation
- 1.06496 × 10⁵
- As a duration
- 106,496 s = 1 day, 5 hours, 34 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛυϟϛʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋤·𝋰
- Chinese
- 十萬六千四百九十六
- Chinese (financial)
- 壹拾萬陸仟肆佰玖拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106496, here are decompositions:
- 43 + 106453 = 106496
- 79 + 106417 = 106496
- 139 + 106357 = 106496
- 193 + 106303 = 106496
- 199 + 106297 = 106496
- 223 + 106273 = 106496
- 277 + 106219 = 106496
- 283 + 106213 = 106496
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.0.
- Address
- 0.1.160.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.0
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 106,496 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 106496 first appears in π at position 153,973 of the decimal expansion (the 153,973ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.