133,728
133,728 is a composite number, even.
133,728 (one hundred thirty-three thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 199. Its proper divisors sum to 269,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,008
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 827,331
- Square (n²)
- 17,883,177,984
- Cube (n³)
- 2,391,481,625,444,352
- Divisor count
- 48
- σ(n) — sum of divisors
- 403,200
- φ(n) — Euler's totient
- 38,016
- Sum of prime factors
- 219
Primality
Prime factorization: 2 5 × 3 × 7 × 199
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,728 = [365; (1, 2, 4, 1, 3, 1, 1, 3, 4, 3, 7, 3, 4, 3, 1, 1, 3, 1, 4, 2, 1, 730)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand seven hundred twenty-eight
- Ordinal
- 133728th
- Binary
- 100000101001100000
- Octal
- 405140
- Hexadecimal
- 0x20A60
- Base64
- Agpg
- One's complement
- 4,294,833,567 (32-bit)
- Scientific notation
- 1.33728 × 10⁵
- As a duration
- 133,728 s = 1 day, 13 hours, 8 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγψκηʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋦·𝋨
- Chinese
- 一十三萬三千七百二十八
- Chinese (financial)
- 壹拾參萬參仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133728, here are decompositions:
- 5 + 133723 = 133728
- 11 + 133717 = 133728
- 17 + 133711 = 133728
- 19 + 133709 = 133728
- 31 + 133697 = 133728
- 37 + 133691 = 133728
- 59 + 133669 = 133728
- 71 + 133657 = 133728
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A9 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.96.
- Address
- 0.2.10.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.96
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 133,728 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 133728 first appears in π at position 409,587 of the decimal expansion (the 409,587ordinal-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°.