133,880
133,880 is a composite number, even.
133,880 (one hundred thirty-three thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,347. Its proper divisors sum to 167,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 88,331
- Square (n²)
- 17,923,854,400
- Cube (n³)
- 2,399,645,627,072,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 301,320
- φ(n) — Euler's totient
- 53,536
- Sum of prime factors
- 3,358
Primality
Prime factorization: 2 3 × 5 × 3347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,880 = [365; (1, 8, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 1, 2, 4, 1, 2, 3, 2, 9, 1, 6, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand eight hundred eighty
- Ordinal
- 133880th
- Binary
- 100000101011111000
- Octal
- 405370
- Hexadecimal
- 0x20AF8
- Base64
- Agr4
- One's complement
- 4,294,833,415 (32-bit)
- Scientific notation
- 1.3388 × 10⁵
- As a duration
- 133,880 s = 1 day, 13 hours, 11 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγωπʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋮·𝋠
- Chinese
- 一十三萬三千八百八十
- Chinese (financial)
- 壹拾參萬參仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133880, here are decompositions:
- 3 + 133877 = 133880
- 7 + 133873 = 133880
- 37 + 133843 = 133880
- 67 + 133813 = 133880
- 79 + 133801 = 133880
- 157 + 133723 = 133880
- 163 + 133717 = 133880
- 211 + 133669 = 133880
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AB B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.248.
- Address
- 0.2.10.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.248
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 133,880 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.