116,820
116,820 is a composite number, even.
116,820 (one hundred sixteen thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 59. Its proper divisors sum to 276,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C854.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 28,611
- Square (n²)
- 13,646,912,400
- Cube (n³)
- 1,594,232,306,568,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 393,120
- φ(n) — Euler's totient
- 27,840
- Sum of prime factors
- 85
Primality
Prime factorization: 2 2 × 3 2 × 5 × 11 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√116,820 = [341; (1, 3, 1, 2, 1, 41, 1, 74, 1, 41, 1, 2, 1, 3, 1, 682)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixteen thousand eight hundred twenty
- Ordinal
- 116820th
- Binary
- 11100100001010100
- Octal
- 344124
- Hexadecimal
- 0x1C854
- Base64
- AchU
- One's complement
- 4,294,850,475 (32-bit)
- Scientific notation
- 1.1682 × 10⁵
- As a duration
- 116,820 s = 1 day, 8 hours, 27 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριϛωκʹ
- Mayan (base 20)
- 𝋮·𝋬·𝋡·𝋠
- Chinese
- 一十一萬六千八百二十
- Chinese (financial)
- 壹拾壹萬陸仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116820, here are decompositions:
- 17 + 116803 = 116820
- 23 + 116797 = 116820
- 29 + 116791 = 116820
- 31 + 116789 = 116820
- 73 + 116747 = 116820
- 79 + 116741 = 116820
- 89 + 116731 = 116820
- 101 + 116719 = 116820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.84.
- Address
- 0.1.200.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.200.84
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 116,820 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 116820 first appears in π at position 203,894 of the decimal expansion (the 203,894ordinal-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°.