101,840
101,840 is a composite number, even.
101,840 (one hundred one thousand eight hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 19 × 67. Its proper divisors sum to 151,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18DD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 48,101
- Square (n²)
- 10,371,385,600
- Cube (n³)
- 1,056,221,909,504,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 252,960
- φ(n) — Euler's totient
- 38,016
- Sum of prime factors
- 99
Primality
Prime factorization: 2 4 × 5 × 19 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,840 = [319; (8, 12, 1, 9, 20, 2, 20, 9, 1, 12, 8, 638)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand eight hundred forty
- Ordinal
- 101840th
- Binary
- 11000110111010000
- Octal
- 306720
- Hexadecimal
- 0x18DD0
- Base64
- AY3Q
- One's complement
- 4,294,865,455 (32-bit)
- Scientific notation
- 1.0184 × 10⁵
- As a duration
- 101,840 s = 1 day, 4 hours, 17 minutes, 20 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ραωμʹ
- Mayan (base 20)
- 𝋬·𝋮·𝋬·𝋠
- Chinese
- 一十萬一千八百四十
- Chinese (financial)
- 壹拾萬壹仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101840, here are decompositions:
- 3 + 101837 = 101840
- 7 + 101833 = 101840
- 43 + 101797 = 101840
- 103 + 101737 = 101840
- 139 + 101701 = 101840
- 199 + 101641 = 101840
- 229 + 101611 = 101840
- 241 + 101599 = 101840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.208.
- Address
- 0.1.141.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.141.208
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 101,840 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 101840 first appears in π at position 86,903 of the decimal expansion (the 86,903ordinal-suffix:rd 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.