120,198
120,198 is a composite number, even.
120,198 (one hundred twenty thousand one hundred ninety-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 23 × 67. Its proper divisors sum to 153,978, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D586.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 891,021
- Square (n²)
- 14,447,559,204
- Cube (n³)
- 1,736,567,721,202,392
- Divisor count
- 32
- σ(n) — sum of divisors
- 274,176
- φ(n) — Euler's totient
- 34,848
- Sum of prime factors
- 108
Primality
Prime factorization: 2 × 3 × 13 × 23 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,198 = [346; (1, 2, 3, 2, 10, 14, 18, 5, 1, 2, 12, 1, 2, 1, 2, 2, 1, 1, 4, 1, 1, 2, 2, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand one hundred ninety-eight
- Ordinal
- 120198th
- Binary
- 11101010110000110
- Octal
- 352606
- Hexadecimal
- 0x1D586
- Base64
- AdWG
- One's complement
- 4,294,847,097 (32-bit)
- Scientific notation
- 1.20198 × 10⁵
- As a duration
- 120,198 s = 1 day, 9 hours, 23 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκρϟηʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋩·𝋲
- Chinese
- 一十二萬零一百九十八
- Chinese (financial)
- 壹拾貳萬零壹佰玖拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120198, here are decompositions:
- 5 + 120193 = 120198
- 17 + 120181 = 120198
- 31 + 120167 = 120198
- 41 + 120157 = 120198
- 101 + 120097 = 120198
- 107 + 120091 = 120198
- 131 + 120067 = 120198
- 149 + 120049 = 120198
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 96 86 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.134.
- Address
- 0.1.213.134
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.134
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 120,198 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 120198 first appears in π at position 561,060 of the decimal expansion (the 561,060ordinal-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°.