113,980
113,980 is a composite number, even.
113,980 (one hundred thirteen thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 41 × 139. Its proper divisors sum to 132,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD3C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 89,311
- Recamán's sequence
- a(56,747) = 113,980
- Square (n²)
- 12,991,440,400
- Cube (n³)
- 1,480,764,376,792,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 246,960
- φ(n) — Euler's totient
- 44,160
- Sum of prime factors
- 189
Primality
Prime factorization: 2 2 × 5 × 41 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,980 = [337; (1, 1, 1, 1, 3, 1, 2, 1, 2, 7, 1, 32, 1, 7, 2, 1, 2, 1, 3, 1, 1, 1, 1, 674)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand nine hundred eighty
- Ordinal
- 113980th
- Binary
- 11011110100111100
- Octal
- 336474
- Hexadecimal
- 0x1BD3C
- Base64
- Ab08
- One's complement
- 4,294,853,315 (32-bit)
- Scientific notation
- 1.1398 × 10⁵
- As a duration
- 113,980 s = 1 day, 7 hours, 39 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριγϡπʹ
- Mayan (base 20)
- 𝋮·𝋤·𝋳·𝋠
- Chinese
- 一十一萬三千九百八十
- Chinese (financial)
- 壹拾壹萬參仟玖佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113980, here are decompositions:
- 11 + 113969 = 113980
- 17 + 113963 = 113980
- 23 + 113957 = 113980
- 47 + 113933 = 113980
- 59 + 113921 = 113980
- 71 + 113909 = 113980
- 89 + 113891 = 113980
- 137 + 113843 = 113980
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.60.
- Address
- 0.1.189.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.189.60
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 113,980 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 113980 first appears in π at position 114,609 of the decimal expansion (the 114,609ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.