110,320
110,320 is a composite number, even.
110,320 (one hundred ten thousand three hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 197. Its proper divisors sum to 184,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AEF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 23,011
- Recamán's sequence
- a(77,983) = 110,320
- Square (n²)
- 12,170,502,400
- Cube (n³)
- 1,342,649,824,768,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 294,624
- φ(n) — Euler's totient
- 37,632
- Sum of prime factors
- 217
Primality
Prime factorization: 2 4 × 5 × 7 × 197
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,320 = [332; (6, 1, 11, 4, 1, 1, 8, 5, 2, 1, 2, 7, 1, 4, 1, 5, 2, 73, 2, 1, 6, 3, 1, 40, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand three hundred twenty
- Ordinal
- 110320th
- Binary
- 11010111011110000
- Octal
- 327360
- Hexadecimal
- 0x1AEF0
- Base64
- Aa7w
- One's complement
- 4,294,856,975 (32-bit)
- Scientific notation
- 1.1032 × 10⁵
- As a duration
- 110,320 s = 1 day, 6 hours, 38 minutes, 40 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριτκʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋰·𝋠
- Chinese
- 一十一萬零三百二十
- Chinese (financial)
- 壹拾壹萬零參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110320, here are decompositions:
- 29 + 110291 = 110320
- 47 + 110273 = 110320
- 59 + 110261 = 110320
- 83 + 110237 = 110320
- 137 + 110183 = 110320
- 191 + 110129 = 110320
- 251 + 110069 = 110320
- 257 + 110063 = 110320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.240.
- Address
- 0.1.174.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.240
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 110,320 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 110320 first appears in π at position 62,602 of the decimal expansion (the 62,602ordinal-suffix:nd 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.