133,752
133,752 is a composite number, even.
133,752 (one hundred thirty-three thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,573. Its proper divisors sum to 200,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A78.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 630
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 257,331
- Square (n²)
- 17,889,597,504
- Cube (n³)
- 2,392,769,445,355,008
- Divisor count
- 16
- σ(n) — sum of divisors
- 334,440
- φ(n) — Euler's totient
- 44,576
- Sum of prime factors
- 5,582
Primality
Prime factorization: 2 3 × 3 × 5573
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,752 = [365; (1, 2, 1, 1, 2, 2, 1, 1, 1, 4, 1, 2, 1, 29, 1, 2, 1, 4, 1, 1, 1, 2, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand seven hundred fifty-two
- Ordinal
- 133752nd
- Binary
- 100000101001111000
- Octal
- 405170
- Hexadecimal
- 0x20A78
- Base64
- Agp4
- One's complement
- 4,294,833,543 (32-bit)
- Scientific notation
- 1.33752 × 10⁵
- As a duration
- 133,752 s = 1 day, 13 hours, 9 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλγψνβʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋧·𝋬
- Chinese
- 一十三萬三千七百五十二
- Chinese (financial)
- 壹拾參萬參仟柒佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133752, here are decompositions:
- 19 + 133733 = 133752
- 29 + 133723 = 133752
- 41 + 133711 = 133752
- 43 + 133709 = 133752
- 61 + 133691 = 133752
- 79 + 133673 = 133752
- 83 + 133669 = 133752
- 103 + 133649 = 133752
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A9 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.120.
- Address
- 0.2.10.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.120
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 133,752 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 133752 first appears in π at position 212,276 of the decimal expansion (the 212,276ordinal-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°.