133,680
133,680 is a composite number, even.
133,680 (one hundred thirty-three thousand six hundred eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 557. Its proper divisors sum to 281,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 86,331
- Square (n²)
- 17,870,342,400
- Cube (n³)
- 2,388,907,372,032,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 415,152
- φ(n) — Euler's totient
- 35,584
- Sum of prime factors
- 573
Primality
Prime factorization: 2 4 × 3 × 5 × 557
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,680 = [365; (1, 1, 1, 1, 1, 6, 2, 1, 18, 14, 1, 6, 1, 2, 6, 4, 5, 1, 9, 2, 5, 1, 2, 45, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand six hundred eighty
- Ordinal
- 133680th
- Binary
- 100000101000110000
- Octal
- 405060
- Hexadecimal
- 0x20A30
- Base64
- Agow
- One's complement
- 4,294,833,615 (32-bit)
- Scientific notation
- 1.3368 × 10⁵
- As a duration
- 133,680 s = 1 day, 13 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγχπʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋤·𝋠
- Chinese
- 一十三萬三千六百八十
- Chinese (financial)
- 壹拾參萬參仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133680, here are decompositions:
- 7 + 133673 = 133680
- 11 + 133669 = 133680
- 23 + 133657 = 133680
- 31 + 133649 = 133680
- 47 + 133633 = 133680
- 83 + 133597 = 133680
- 97 + 133583 = 133680
- 109 + 133571 = 133680
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A8 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.48.
- Address
- 0.2.10.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.48
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 133,680 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 133680 first appears in π at position 107,171 of the decimal expansion (the 107,171ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.