120,688
120,688 is a composite number, even.
120,688 (one hundred twenty thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 397. Its proper divisors sum to 126,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D770.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 886,021
- Square (n²)
- 14,565,593,344
- Cube (n³)
- 1,757,892,329,500,672
- Divisor count
- 20
- σ(n) — sum of divisors
- 246,760
- φ(n) — Euler's totient
- 57,024
- Sum of prime factors
- 424
Primality
Prime factorization: 2 4 × 19 × 397
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,688 = [347; (2, 2, 22, 77, 6, 2, 2, 1, 1, 1, 3, 1, 1, 8, 57, 1, 3, 1, 1, 1, 1, 1, 1, 1, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand six hundred eighty-eight
- Ordinal
- 120688th
- Binary
- 11101011101110000
- Octal
- 353560
- Hexadecimal
- 0x1D770
- Base64
- Addw
- One's complement
- 4,294,846,607 (32-bit)
- Scientific notation
- 1.20688 × 10⁵
- As a duration
- 120,688 s = 1 day, 9 hours, 31 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκχπηʹ
- Mayan (base 20)
- 𝋯·𝋡·𝋮·𝋨
- Chinese
- 一十二萬零六百八十八
- Chinese (financial)
- 壹拾貳萬零陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120688, here are decompositions:
- 11 + 120677 = 120688
- 17 + 120671 = 120688
- 41 + 120647 = 120688
- 47 + 120641 = 120688
- 101 + 120587 = 120688
- 131 + 120557 = 120688
- 137 + 120551 = 120688
- 149 + 120539 = 120688
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 9D B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.112.
- Address
- 0.1.215.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.215.112
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 120,688 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 120688 first appears in π at position 344,577 of the decimal expansion (the 344,577ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.