16,380
16,380 is a composite number, even.
16,380 (sixteen thousand three hundred eighty) is an even 5-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 13. Its proper divisors sum to 44,772, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3FFC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 8,361
- Recamán's sequence
- a(17,952) = 16,380
- Square (n²)
- 268,304,400
- Cube (n³)
- 4,394,826,072,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 61,152
- φ(n) — Euler's totient
- 3,456
- Sum of prime factors
- 35
Primality
Prime factorization: 2 2 × 3 2 × 5 × 7 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,380 = [127; (1, 62, 1, 254)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- sixteen thousand three hundred eighty
- Ordinal
- 16380th
- Binary
- 11111111111100
- Octal
- 37774
- Hexadecimal
- 0x3FFC
- Base64
- P/w=
- One's complement
- 49,155 (16-bit)
- Scientific notation
- 1.638 × 10⁴
- As a duration
- 16,380 s = 4 hours, 33 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιϛτπʹ
- Mayan (base 20)
- 𝋢·𝋠·𝋳·𝋠
- Chinese
- 一萬六千三百八十
- Chinese (financial)
- 壹萬陸仟參佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,380 = 8
- e — Euler's number (e)
- Digit 16,380 = 6
- φ — Golden ratio (φ)
- Digit 16,380 = 7
- √2 — Pythagoras's (√2)
- Digit 16,380 = 4
- ln 2 — Natural log of 2
- Digit 16,380 = 6
- γ — Euler-Mascheroni (γ)
- Digit 16,380 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16380, here are decompositions:
- 11 + 16369 = 16380
- 17 + 16363 = 16380
- 19 + 16361 = 16380
- 31 + 16349 = 16380
- 41 + 16339 = 16380
- 47 + 16333 = 16380
- 61 + 16319 = 16380
- 79 + 16301 = 16380
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 BF BC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.252.
- Address
- 0.0.63.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.63.252
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,380 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -38¢)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, exact)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -37¢)
The digit sequence 16380 first appears in π at position 87,690 of the decimal expansion (the 87,690ordinal-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°.