133,770
133,770 is a composite number, even.
133,770 (one hundred thirty-three thousand seven hundred seventy) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5 × 7³ × 13. Its proper divisors sum to 269,430, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A8A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 77,331
- Square (n²)
- 17,894,412,900
- Cube (n³)
- 2,393,735,613,633,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 403,200
- φ(n) — Euler's totient
- 28,224
- Sum of prime factors
- 44
Primality
Prime factorization: 2 × 3 × 5 × 7 3 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,770 = [365; (1, 2, 1, 14, 5, 1, 1, 1, 1, 14, 3, 8, 1, 14, 28, 14, 1, 8, 3, 14, 1, 1, 1, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand seven hundred seventy
- Ordinal
- 133770th
- Binary
- 100000101010001010
- Octal
- 405212
- Hexadecimal
- 0x20A8A
- Base64
- AgqK
- One's complement
- 4,294,833,525 (32-bit)
- Scientific notation
- 1.3377 × 10⁵
- As a duration
- 133,770 s = 1 day, 13 hours, 9 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγψοʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋨·𝋪
- Chinese
- 一十三萬三千七百七十
- Chinese (financial)
- 壹拾參萬參仟柒佰柒拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133770, here are decompositions:
- 37 + 133733 = 133770
- 47 + 133723 = 133770
- 53 + 133717 = 133770
- 59 + 133711 = 133770
- 61 + 133709 = 133770
- 73 + 133697 = 133770
- 79 + 133691 = 133770
- 97 + 133673 = 133770
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AA 8A (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.138.
- Address
- 0.2.10.138
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.138
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 133,770 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 133770 first appears in π at position 615,326 of the decimal expansion (the 615,326ordinal-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°.