133,540
133,540 is a composite number, even.
133,540 (one hundred thirty-three thousand five hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 607. Its proper divisors sum to 172,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209A4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 45,331
- Square (n²)
- 17,832,931,600
- Cube (n³)
- 2,381,409,685,864,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 306,432
- φ(n) — Euler's totient
- 48,480
- Sum of prime factors
- 627
Primality
Prime factorization: 2 2 × 5 × 11 × 607
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,540 = [365; (2, 3, 7, 3, 18, 2, 2, 1, 2, 10, 4, 2, 8, 3, 1, 11, 2, 2, 1, 3, 1, 1, 1, 1, …)]
Representations
- In words
- one hundred thirty-three thousand five hundred forty
- Ordinal
- 133540th
- Binary
- 100000100110100100
- Octal
- 404644
- Hexadecimal
- 0x209A4
- Base64
- Agmk
- One's complement
- 4,294,833,755 (32-bit)
- Scientific notation
- 1.3354 × 10⁵
- As a duration
- 133,540 s = 1 day, 13 hours, 5 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγφμʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋱·𝋠
- Chinese
- 一十三萬三千五百四十
- Chinese (financial)
- 壹拾參萬參仟伍佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133540, here are decompositions:
- 41 + 133499 = 133540
- 47 + 133493 = 133540
- 59 + 133481 = 133540
- 89 + 133451 = 133540
- 101 + 133439 = 133540
- 137 + 133403 = 133540
- 149 + 133391 = 133540
- 191 + 133349 = 133540
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A6 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.164.
- Address
- 0.2.9.164
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.164
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 133,540 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 133540 first appears in π at position 72,186 of the decimal expansion (the 72,186ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.