120,768
120,768 is a composite number, even.
120,768 (one hundred twenty thousand seven hundred sixty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 17 × 37. Its proper divisors sum to 226,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 867,021
- Square (n²)
- 14,584,909,824
- Cube (n³)
- 1,761,390,389,624,832
- Divisor count
- 56
- σ(n) — sum of divisors
- 347,472
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 69
Primality
Prime factorization: 2 6 × 3 × 17 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,768 = [347; (1, 1, 14, 3, 2, 10, 2, 3, 14, 1, 1, 694)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand seven hundred sixty-eight
- Ordinal
- 120768th
- Binary
- 11101011111000000
- Octal
- 353700
- Hexadecimal
- 0x1D7C0
- Base64
- AdfA
- One's complement
- 4,294,846,527 (32-bit)
- Scientific notation
- 1.20768 × 10⁵
- As a duration
- 120,768 s = 1 day, 9 hours, 32 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκψξηʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋲·𝋨
- Chinese
- 一十二萬零七百六十八
- Chinese (financial)
- 壹拾貳萬零柒佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120768, here are decompositions:
- 5 + 120763 = 120768
- 19 + 120749 = 120768
- 29 + 120739 = 120768
- 31 + 120737 = 120768
- 47 + 120721 = 120768
- 59 + 120709 = 120768
- 79 + 120689 = 120768
- 97 + 120671 = 120768
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9F 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.192.
- Address
- 0.1.215.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.215.192
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 120,768 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 120768 first appears in π at position 763,591 of the decimal expansion (the 763,591ordinal-suffix:st 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°.