115,120
115,120 is a composite number, even.
115,120 (one hundred fifteen thousand one hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,439. Its proper divisors sum to 152,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C1B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,511
- Recamán's sequence
- a(71,647) = 115,120
- Square (n²)
- 13,252,614,400
- Cube (n³)
- 1,525,640,969,728,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 267,840
- φ(n) — Euler's totient
- 46,016
- Sum of prime factors
- 1,452
Primality
Prime factorization: 2 4 × 5 × 1439
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√115,120 = [339; (3, 2, 2, 4, 3, 3, 15, 8, 3, 4, 1, 15, 1, 2, 1, 4, 1, 6, 4, 8, 4, 6, 1, 4, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifteen thousand one hundred twenty
- Ordinal
- 115120th
- Binary
- 11100000110110000
- Octal
- 340660
- Hexadecimal
- 0x1C1B0
- Base64
- AcGw
- One's complement
- 4,294,852,175 (32-bit)
- Scientific notation
- 1.1512 × 10⁵
- As a duration
- 115,120 s = 1 day, 7 hours, 58 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριερκʹ
- Mayan (base 20)
- 𝋮·𝋧·𝋰·𝋠
- Chinese
- 一十一萬五千一百二十
- Chinese (financial)
- 壹拾壹萬伍仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115120, here are decompositions:
- 3 + 115117 = 115120
- 41 + 115079 = 115120
- 53 + 115067 = 115120
- 59 + 115061 = 115120
- 101 + 115019 = 115120
- 107 + 115013 = 115120
- 179 + 114941 = 115120
- 293 + 114827 = 115120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.176.
- Address
- 0.1.193.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.193.176
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 115,120 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 115120 first appears in π at position 657,386 of the decimal expansion (the 657,386ordinal-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.