120,096
120,096 is a composite number, even.
120,096 (one hundred twenty thousand ninety-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3³ × 139. Its proper divisors sum to 232,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D520.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 690,021
- Recamán's sequence
- a(239,904) = 120,096
- Square (n²)
- 14,423,049,216
- Cube (n³)
- 1,732,150,518,644,736
- Divisor count
- 48
- σ(n) — sum of divisors
- 352,800
- φ(n) — Euler's totient
- 39,744
- Sum of prime factors
- 158
Primality
Prime factorization: 2 5 × 3 3 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,096 = [346; (1, 1, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 27, 3, 3, 4, 1, 5, 76, 1, 5, 4, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand ninety-six
- Ordinal
- 120096th
- Binary
- 11101010100100000
- Octal
- 352440
- Hexadecimal
- 0x1D520
- Base64
- AdUg
- One's complement
- 4,294,847,199 (32-bit)
- Scientific notation
- 1.20096 × 10⁵
- As a duration
- 120,096 s = 1 day, 9 hours, 21 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκϟϛʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋤·𝋰
- Chinese
- 一十二萬零九十六
- Chinese (financial)
- 壹拾貳萬零玖拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120096, here are decompositions:
- 5 + 120091 = 120096
- 17 + 120079 = 120096
- 19 + 120077 = 120096
- 29 + 120067 = 120096
- 47 + 120049 = 120096
- 79 + 120017 = 120096
- 103 + 119993 = 120096
- 113 + 119983 = 120096
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 94 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.32.
- Address
- 0.1.213.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.32
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 120,096 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120096 first appears in π at position 847,060 of the decimal expansion (the 847,060ordinal-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°.