972,096
972,096 is a composite number, even.
972,096 (nine hundred seventy-two thousand ninety-six) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 61 × 83. Its proper divisors sum to 1,673,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED540.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 690,279
- Square (n²)
- 944,970,633,216
- Cube (n³)
- 918,602,172,666,740,736
- Divisor count
- 56
- σ(n) — sum of divisors
- 2,645,664
- φ(n) — Euler's totient
- 314,880
- Sum of prime factors
- 159
Primality
Prime factorization: 2 6 × 3 × 61 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√972,096 = [985; (1, 18, 1, 2, 1, 1, 3, 2, 1, 7, 131, 3, 32, 1, 1, 7, 5, 7, 1, 77, 1, 491, 1, 77, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred seventy-two thousand ninety-six
- Ordinal
- 972096th
- Binary
- 11101101010101000000
- Octal
- 3552500
- Hexadecimal
- 0xED540
- Base64
- DtVA
- One's complement
- 4,293,995,199 (32-bit)
- Scientific notation
- 9.72096 × 10⁵
- As a duration
- 972,096 s = 11 days, 6 hours, 1 minute, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡοβϟϛʹ
- Chinese
- 九十七萬二千零九十六
- Chinese (financial)
- 玖拾柒萬貳仟零玖拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972096, here are decompositions:
- 5 + 972091 = 972096
- 17 + 972079 = 972096
- 67 + 972029 = 972096
- 79 + 972017 = 972096
- 107 + 971989 = 972096
- 137 + 971959 = 972096
- 157 + 971939 = 972096
- 163 + 971933 = 972096
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.213.64.
- Address
- 0.14.213.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.213.64
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 972,096 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.