126,720
126,720 is a composite number, even.
126,720 (one hundred twenty-six thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2⁸ × 3² × 5 × 11. Its proper divisors sum to 351,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EF00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,621
- Recamán's sequence
- a(499,927) = 126,720
- Square (n²)
- 16,057,958,400
- Cube (n³)
- 2,034,864,488,448,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 478,296
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 38
Primality
Prime factorization: 2 8 × 3 2 × 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√126,720 = [355; (1, 43, 2, 177, 2, 43, 1, 710)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-six thousand seven hundred twenty
- Ordinal
- 126720th
- Binary
- 11110111100000000
- Octal
- 367400
- Hexadecimal
- 0x1EF00
- Base64
- Ae8A
- One's complement
- 4,294,840,575 (32-bit)
- Scientific notation
- 1.2672 × 10⁵
- As a duration
- 126,720 s = 1 day, 11 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκϛψκʹ
- Mayan (base 20)
- 𝋯·𝋰·𝋰·𝋠
- Chinese
- 一十二萬六千七百二十
- Chinese (financial)
- 壹拾貳萬陸仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126720, here are decompositions:
- 7 + 126713 = 126720
- 17 + 126703 = 126720
- 29 + 126691 = 126720
- 37 + 126683 = 126720
- 67 + 126653 = 126720
- 79 + 126641 = 126720
- 89 + 126631 = 126720
- 107 + 126613 = 126720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.239.0.
- Address
- 0.1.239.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.239.0
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 126,720 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 126720 first appears in π at position 85,549 of the decimal expansion (the 85,549ordinal-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°.