133,280
133,280 is a composite number, even.
133,280 (one hundred thirty-three thousand two hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5 × 7² × 17. Its proper divisors sum to 254,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 82,331
- Square (n²)
- 17,763,558,400
- Cube (n³)
- 2,367,527,063,552,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 387,828
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 46
Primality
Prime factorization: 2 5 × 5 × 7 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,280 = [365; (13, 3, 1, 1, 1, 5, 2, 1, 1, 14, 3, 3, 1, 181, 1, 3, 3, 14, 1, 1, 2, 5, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand two hundred eighty
- Ordinal
- 133280th
- Binary
- 100000100010100000
- Octal
- 404240
- Hexadecimal
- 0x208A0
- Base64
- Agig
- One's complement
- 4,294,834,015 (32-bit)
- Scientific notation
- 1.3328 × 10⁵
- As a duration
- 133,280 s = 1 day, 13 hours, 1 minute, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγσπʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋤·𝋠
- Chinese
- 一十三萬三千二百八十
- Chinese (financial)
- 壹拾參萬參仟貳佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133280, here are decompositions:
- 3 + 133277 = 133280
- 19 + 133261 = 133280
- 67 + 133213 = 133280
- 79 + 133201 = 133280
- 97 + 133183 = 133280
- 127 + 133153 = 133280
- 163 + 133117 = 133280
- 193 + 133087 = 133280
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A2 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.160.
- Address
- 0.2.8.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.160
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 133,280 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 133280 first appears in π at position 988,207 of the decimal expansion (the 988,207ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.