117,720
117,720 is a composite number, even.
117,720 (one hundred seventeen thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 109. Its proper divisors sum to 278,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CBD8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,711
- Square (n²)
- 13,857,998,400
- Cube (n³)
- 1,631,363,571,648,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 396,000
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 129
Primality
Prime factorization: 2 3 × 3 3 × 5 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,720 = [343; (9, 1, 1, 1, 33, 1, 1, 1, 9, 686)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand seven hundred twenty
- Ordinal
- 117720th
- Binary
- 11100101111011000
- Octal
- 345730
- Hexadecimal
- 0x1CBD8
- Base64
- AcvY
- One's complement
- 4,294,849,575 (32-bit)
- Scientific notation
- 1.1772 × 10⁵
- As a duration
- 117,720 s = 1 day, 8 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριζψκʹ
- Mayan (base 20)
- 𝋮·𝋮·𝋦·𝋠
- Chinese
- 一十一萬七千七百二十
- Chinese (financial)
- 壹拾壹萬柒仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117720, here are decompositions:
- 11 + 117709 = 117720
- 17 + 117703 = 117720
- 19 + 117701 = 117720
- 41 + 117679 = 117720
- 47 + 117673 = 117720
- 61 + 117659 = 117720
- 101 + 117619 = 117720
- 103 + 117617 = 117720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.216.
- Address
- 0.1.203.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.203.216
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 117,720 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 117720 first appears in π at position 35,673 of the decimal expansion (the 35,673ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.