130,560
130,560 is a composite number, even.
130,560 (one hundred thirty thousand five hundred sixty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁹ × 3 × 5 × 17. Its proper divisors sum to 311,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FE00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 65,031
- Square (n²)
- 17,045,913,600
- Cube (n³)
- 2,225,514,479,616,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 441,936
- φ(n) — Euler's totient
- 32,768
- Sum of prime factors
- 43
Primality
Prime factorization: 2 9 × 3 × 5 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√130,560 = [361; (3, 44, 1, 4, 1, 179, 1, 4, 1, 44, 3, 722)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty thousand five hundred sixty
- Ordinal
- 130560th
- Binary
- 11111111000000000
- Octal
- 377000
- Hexadecimal
- 0x1FE00
- Base64
- Af4A
- One's complement
- 4,294,836,735 (32-bit)
- Scientific notation
- 1.3056 × 10⁵
- As a duration
- 130,560 s = 1 day, 12 hours, 16 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλφξʹ
- Mayan (base 20)
- 𝋰·𝋦·𝋨·𝋠
- Chinese
- 一十三萬零五百六十
- Chinese (financial)
- 壹拾參萬零伍佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130560, here are decompositions:
- 7 + 130553 = 130560
- 13 + 130547 = 130560
- 29 + 130531 = 130560
- 37 + 130523 = 130560
- 43 + 130517 = 130560
- 47 + 130513 = 130560
- 71 + 130489 = 130560
- 83 + 130477 = 130560
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.0.
- Address
- 0.1.254.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.254.0
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 130,560 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 130560 first appears in π at position 346,875 of the decimal expansion (the 346,875ordinal-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°.