120,216
120,216 is a composite number, even.
120,216 (one hundred twenty thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,009. Its proper divisors sum to 180,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D598.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 612,021
- Square (n²)
- 14,451,886,656
- Cube (n³)
- 1,737,348,006,237,696
- Divisor count
- 16
- σ(n) — sum of divisors
- 300,600
- φ(n) — Euler's totient
- 40,064
- Sum of prime factors
- 5,018
Primality
Prime factorization: 2 3 × 3 × 5009
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,216 = [346; (1, 2, 1, 1, 2, 6, 1, 3, 5, 1, 85, 1, 5, 3, 1, 6, 2, 1, 1, 2, 1, 692)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand two hundred sixteen
- Ordinal
- 120216th
- Binary
- 11101010110011000
- Octal
- 352630
- Hexadecimal
- 0x1D598
- Base64
- AdWY
- One's complement
- 4,294,847,079 (32-bit)
- Scientific notation
- 1.20216 × 10⁵
- As a duration
- 120,216 s = 1 day, 9 hours, 23 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκσιϛʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋪·𝋰
- Chinese
- 一十二萬零二百一十六
- Chinese (financial)
- 壹拾貳萬零貳佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120216, here are decompositions:
- 7 + 120209 = 120216
- 17 + 120199 = 120216
- 23 + 120193 = 120216
- 53 + 120163 = 120216
- 59 + 120157 = 120216
- 113 + 120103 = 120216
- 137 + 120079 = 120216
- 139 + 120077 = 120216
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 96 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.152.
- Address
- 0.1.213.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.152
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 120,216 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 120216 first appears in π at position 496,020 of the decimal expansion (the 496,020ordinal-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°.