133,520
133,520 is a composite number, even.
133,520 (one hundred thirty-three thousand five hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,669. Its proper divisors sum to 177,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20990.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 25,331
- Square (n²)
- 17,827,590,400
- Cube (n³)
- 2,380,339,870,208,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 310,620
- φ(n) — Euler's totient
- 53,376
- Sum of prime factors
- 1,682
Primality
Prime factorization: 2 4 × 5 × 1669
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,520 = [365; (2, 2, 9, 1, 8, 2, 1, 7, 1, 1, 7, 6, 5, 1, 44, 1, 5, 6, 7, 1, 1, 7, 1, 2, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand five hundred twenty
- Ordinal
- 133520th
- Binary
- 100000100110010000
- Octal
- 404620
- Hexadecimal
- 0x20990
- Base64
- AgmQ
- One's complement
- 4,294,833,775 (32-bit)
- Scientific notation
- 1.3352 × 10⁵
- As a duration
- 133,520 s = 1 day, 13 hours, 5 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλγφκʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋰·𝋠
- Chinese
- 一十三萬三千五百二十
- Chinese (financial)
- 壹拾參萬參仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133520, here are decompositions:
- 73 + 133447 = 133520
- 103 + 133417 = 133520
- 193 + 133327 = 133520
- 199 + 133321 = 133520
- 241 + 133279 = 133520
- 307 + 133213 = 133520
- 337 + 133183 = 133520
- 367 + 133153 = 133520
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A6 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.144.
- Address
- 0.2.9.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.144
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 133,520 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 133520 first appears in π at position 594,909 of the decimal expansion (the 594,909ordinal-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.