133,040
133,040 is a composite number, even.
133,040 (one hundred thirty-three thousand forty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,663. Its proper divisors sum to 176,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 40,331
- Square (n²)
- 17,699,641,600
- Cube (n³)
- 2,354,760,318,464,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 309,504
- φ(n) — Euler's totient
- 53,184
- Sum of prime factors
- 1,676
Primality
Prime factorization: 2 4 × 5 × 1663
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,040 = [364; (1, 2, 1, 17, 23, 2, 9, 1, 3, 1, 1, 1, 8, 1, 1, 2, 4, 2, 3, 2, 1, 2, 3, 45, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand forty
- Ordinal
- 133040th
- Binary
- 100000011110110000
- Octal
- 403660
- Hexadecimal
- 0x207B0
- Base64
- Agew
- One's complement
- 4,294,834,255 (32-bit)
- Scientific notation
- 1.3304 × 10⁵
- As a duration
- 133,040 s = 1 day, 12 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγμʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋬·𝋠
- Chinese
- 一十三萬三千零四十
- Chinese (financial)
- 壹拾參萬參仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133040, here are decompositions:
- 7 + 133033 = 133040
- 73 + 132967 = 133040
- 79 + 132961 = 133040
- 181 + 132859 = 133040
- 223 + 132817 = 133040
- 277 + 132763 = 133040
- 283 + 132757 = 133040
- 331 + 132709 = 133040
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9E B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.176.
- Address
- 0.2.7.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.176
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 133,040 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 133040 first appears in π at position 954,509 of the decimal expansion (the 954,509ordinal-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.