133,248
133,248 is a composite number, even.
133,248 (one hundred thirty-three thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 347. Its proper divisors sum to 221,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20880.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 576
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 842,331
- Square (n²)
- 17,755,029,504
- Cube (n³)
- 2,365,822,171,348,992
- Divisor count
- 32
- σ(n) — sum of divisors
- 354,960
- φ(n) — Euler's totient
- 44,288
- Sum of prime factors
- 364
Primality
Prime factorization: 2 7 × 3 × 347
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,248 = [365; (31, 1, 2, 1, 5, 1, 4, 1, 5, 1, 2, 1, 31, 730)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand two hundred forty-eight
- Ordinal
- 133248th
- Binary
- 100000100010000000
- Octal
- 404200
- Hexadecimal
- 0x20880
- Base64
- AgiA
- One's complement
- 4,294,834,047 (32-bit)
- Scientific notation
- 1.33248 × 10⁵
- As a duration
- 133,248 s = 1 day, 13 hours, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγσμηʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋢·𝋨
- Chinese
- 一十三萬三千二百四十八
- Chinese (financial)
- 壹拾參萬參仟貳佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133248, here are decompositions:
- 7 + 133241 = 133248
- 47 + 133201 = 133248
- 61 + 133187 = 133248
- 79 + 133169 = 133248
- 127 + 133121 = 133248
- 131 + 133117 = 133248
- 139 + 133109 = 133248
- 151 + 133097 = 133248
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A2 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.128.
- Address
- 0.2.8.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.128
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 133,248 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.