130,816
130,816 is a composite number, even.
130,816 (one hundred thirty thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 7 × 73. Its proper divisors sum to 171,696, more than the number itself, making it an abundant number. It is the 511th triangular number. Written other ways, in hexadecimal, 0x1FF00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 618,031
- Square (n²)
- 17,112,825,856
- Cube (n³)
- 2,238,631,427,178,496
- Divisor count
- 36
- σ(n) — sum of divisors
- 302,512
- φ(n) — Euler's totient
- 55,296
- Sum of prime factors
- 96
Primality
Prime factorization: 2 8 × 7 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√130,816 = [361; (1, 2, 5, 1, 2, 1, 12, 2, 2, 2, 1, 4, 3, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty thousand eight hundred sixteen
- Ordinal
- 130816th
- Binary
- 11111111100000000
- Octal
- 377400
- Hexadecimal
- 0x1FF00
- Base64
- Af8A
- One's complement
- 4,294,836,479 (32-bit)
- Scientific notation
- 1.30816 × 10⁵
- As a duration
- 130,816 s = 1 day, 12 hours, 20 minutes, 16 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλωιϛʹ
- Mayan (base 20)
- 𝋰·𝋧·𝋠·𝋰
- Chinese
- 一十三萬零八百一十六
- Chinese (financial)
- 壹拾參萬零捌佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130816, here are decompositions:
- 5 + 130811 = 130816
- 29 + 130787 = 130816
- 47 + 130769 = 130816
- 167 + 130649 = 130816
- 173 + 130643 = 130816
- 197 + 130619 = 130816
- 227 + 130589 = 130816
- 263 + 130553 = 130816
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.0.
- Address
- 0.1.255.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.255.0
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 130,816 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.