106,512
106,512 is a composite number, even.
106,512 (one hundred six thousand five hundred twelve) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 317. Its proper divisors sum to 208,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A010.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 215,601
- Recamán's sequence
- a(88,163) = 106,512
- Square (n²)
- 11,344,806,144
- Cube (n³)
- 1,208,357,992,009,728
- Divisor count
- 40
- σ(n) — sum of divisors
- 315,456
- φ(n) — Euler's totient
- 30,336
- Sum of prime factors
- 335
Primality
Prime factorization: 2 4 × 3 × 7 × 317
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,512 = [326; (2, 1, 3, 4, 7, 3, 1, 2, 1, 1, 1, 1, 1, 10, 1, 4, 1, 10, 1, 1, 1, 1, 1, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand five hundred twelve
- Ordinal
- 106512th
- Binary
- 11010000000010000
- Octal
- 320020
- Hexadecimal
- 0x1A010
- Base64
- AaAQ
- One's complement
- 4,294,860,783 (32-bit)
- Scientific notation
- 1.06512 × 10⁵
- As a duration
- 106,512 s = 1 day, 5 hours, 35 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛφιβʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋥·𝋬
- Chinese
- 十萬六千五百一十二
- Chinese (financial)
- 壹拾萬陸仟伍佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106512, here are decompositions:
- 11 + 106501 = 106512
- 59 + 106453 = 106512
- 61 + 106451 = 106512
- 71 + 106441 = 106512
- 79 + 106433 = 106512
- 101 + 106411 = 106512
- 139 + 106373 = 106512
- 149 + 106363 = 106512
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.16.
- Address
- 0.1.160.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.16
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 106,512 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 106512 first appears in π at position 209,032 of the decimal expansion (the 209,032ordinal-suffix:nd 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°.