133,872
133,872 is a composite number, even.
133,872 (one hundred thirty-three thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,789. Its proper divisors sum to 212,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,008
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 278,331
- Square (n²)
- 17,921,712,384
- Cube (n³)
- 2,399,215,480,270,848
- Divisor count
- 20
- σ(n) — sum of divisors
- 345,960
- φ(n) — Euler's totient
- 44,608
- Sum of prime factors
- 2,800
Primality
Prime factorization: 2 4 × 3 × 2789
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,872 = [365; (1, 7, 1, 2, 2, 14, 1, 1, 31, 3, 2, 1, 14, 1, 6, 1, 2, 5, 3, 12, 1, 1, 9, 1, …)]
Representations
- In words
- one hundred thirty-three thousand eight hundred seventy-two
- Ordinal
- 133872nd
- Binary
- 100000101011110000
- Octal
- 405360
- Hexadecimal
- 0x20AF0
- Base64
- Agrw
- One's complement
- 4,294,833,423 (32-bit)
- Scientific notation
- 1.33872 × 10⁵
- As a duration
- 133,872 s = 1 day, 13 hours, 11 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλγωοβʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋭·𝋬
- Chinese
- 一十三萬三千八百七十二
- Chinese (financial)
- 壹拾參萬參仟捌佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133872, here are decompositions:
- 19 + 133853 = 133872
- 29 + 133843 = 133872
- 41 + 133831 = 133872
- 59 + 133813 = 133872
- 61 + 133811 = 133872
- 71 + 133801 = 133872
- 103 + 133769 = 133872
- 139 + 133733 = 133872
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AB B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.240.
- Address
- 0.2.10.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.240
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 133,872 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 133872 first appears in π at position 196,836 of the decimal expansion (the 196,836ordinal-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°.