133,400
133,400 is a composite number, even.
133,400 (one hundred thirty-three thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 23 × 29. Its proper divisors sum to 201,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20918.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,331
- Recamán's sequence
- a(35,460) = 133,400
- Square (n²)
- 17,795,560,000
- Cube (n³)
- 2,373,927,704,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 334,800
- φ(n) — Euler's totient
- 49,280
- Sum of prime factors
- 68
Primality
Prime factorization: 2 3 × 5 2 × 23 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,400 = [365; (4, 5, 1, 3, 1, 2, 3, 3, 5, 14, 1, 2, 1, 1, 3, 1, 1, 1, 1, 28, 1, 1, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand four hundred
- Ordinal
- 133400th
- Binary
- 100000100100011000
- Octal
- 404430
- Hexadecimal
- 0x20918
- Base64
- AgkY
- One's complement
- 4,294,833,895 (32-bit)
- Scientific notation
- 1.334 × 10⁵
- As a duration
- 133,400 s = 1 day, 13 hours, 3 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλγυʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋪·𝋠
- Chinese
- 一十三萬三千四百
- Chinese (financial)
- 壹拾參萬參仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133400, here are decompositions:
- 13 + 133387 = 133400
- 73 + 133327 = 133400
- 79 + 133321 = 133400
- 97 + 133303 = 133400
- 139 + 133261 = 133400
- 199 + 133201 = 133400
- 283 + 133117 = 133400
- 313 + 133087 = 133400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A4 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.24.
- Address
- 0.2.9.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.24
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 133,400 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 133400 first appears in π at position 119,721 of the decimal expansion (the 119,721ordinal-suffix:st 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.