128,120
128,120 is a composite number, even.
128,120 (one hundred twenty-eight thousand one hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,203. Its proper divisors sum to 160,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F478.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,821
- Recamán's sequence
- a(32,524) = 128,120
- Square (n²)
- 16,414,734,400
- Cube (n³)
- 2,103,055,771,328,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 288,360
- φ(n) — Euler's totient
- 51,232
- Sum of prime factors
- 3,214
Primality
Prime factorization: 2 3 × 5 × 3203
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√128,120 = [357; (1, 15, 3, 1, 2, 5, 1, 1, 4, 5, 22, 1, 9, 7, 1, 16, 1, 1, 2, 2, 12, 1, 1, 2, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-eight thousand one hundred twenty
- Ordinal
- 128120th
- Binary
- 11111010001111000
- Octal
- 372170
- Hexadecimal
- 0x1F478
- Base64
- AfR4
- One's complement
- 4,294,839,175 (32-bit)
- Scientific notation
- 1.2812 × 10⁵
- As a duration
- 128,120 s = 1 day, 11 hours, 35 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκηρκʹ
- Mayan (base 20)
- 𝋰·𝋠·𝋦·𝋠
- Chinese
- 一十二萬八千一百二十
- Chinese (financial)
- 壹拾貳萬捌仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128120, here are decompositions:
- 7 + 128113 = 128120
- 67 + 128053 = 128120
- 73 + 128047 = 128120
- 199 + 127921 = 128120
- 271 + 127849 = 128120
- 277 + 127843 = 128120
- 283 + 127837 = 128120
- 313 + 127807 = 128120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9F 91 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.120.
- Address
- 0.1.244.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.244.120
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 128,120 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 128120 first appears in π at position 205,355 of the decimal expansion (the 205,355ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.