110,820
110,820 is a composite number, even.
110,820 (one hundred ten thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,847. Its proper divisors sum to 199,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B0E4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 28,011
- Recamán's sequence
- a(49,599) = 110,820
- Square (n²)
- 12,281,072,400
- Cube (n³)
- 1,360,988,443,368,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 310,464
- φ(n) — Euler's totient
- 29,536
- Sum of prime factors
- 1,859
Primality
Prime factorization: 2 2 × 3 × 5 × 1847
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,820 = [332; (1, 8, 1, 1, 1, 6, 3, 1, 1, 3, 9, 10, 3, 2, 1, 1, 2, 2, 4, 1, 1, 1, 32, 1, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand eight hundred twenty
- Ordinal
- 110820th
- Binary
- 11011000011100100
- Octal
- 330344
- Hexadecimal
- 0x1B0E4
- Base64
- AbDk
- One's complement
- 4,294,856,475 (32-bit)
- Scientific notation
- 1.1082 × 10⁵
- As a duration
- 110,820 s = 1 day, 6 hours, 47 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριωκʹ
- Mayan (base 20)
- 𝋭·𝋱·𝋡·𝋠
- Chinese
- 一十一萬零八百二十
- Chinese (financial)
- 壹拾壹萬零捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110820, here are decompositions:
- 7 + 110813 = 110820
- 13 + 110807 = 110820
- 43 + 110777 = 110820
- 67 + 110753 = 110820
- 71 + 110749 = 110820
- 89 + 110731 = 110820
- 109 + 110711 = 110820
- 139 + 110681 = 110820
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B 83 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.176.228.
- Address
- 0.1.176.228
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.176.228
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 110,820 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 110820 first appears in π at position 732,867 of the decimal expansion (the 732,867ordinal-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°.