61,680
61,680 is a composite number, even.
61,680 (sixty-one thousand six hundred eighty) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 257. Its proper divisors sum to 130,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF0F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 8,616
- Flips to (rotate 180°)
- 8,919
- Recamán's sequence
- a(49,084) = 61,680
- Square (n²)
- 3,804,422,400
- Cube (n³)
- 234,656,773,632,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 191,952
- φ(n) — Euler's totient
- 16,384
- Sum of prime factors
- 273
Primality
Prime factorization: 2 4 × 3 × 5 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√61,680 = [248; (2, 1, 4, 1, 1, 3, 1, 1, 3, 1, 10, 1, 1, 30, 1, 1, 10, 1, 3, 1, 1, 3, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- sixty-one thousand six hundred eighty
- Ordinal
- 61680th
- Binary
- 1111000011110000
- Octal
- 170360
- Hexadecimal
- 0xF0F0
- Base64
- 8PA=
- One's complement
- 3,855 (16-bit)
- Scientific notation
- 6.168 × 10⁴
- As a duration
- 61,680 s = 17 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ξαχπʹ
- Mayan (base 20)
- 𝋧·𝋮·𝋤·𝋠
- Chinese
- 六萬一千六百八十
- Chinese (financial)
- 陸萬壹仟陸佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 61,680 = 7
- e — Euler's number (e)
- Digit 61,680 = 8
- φ — Golden ratio (φ)
- Digit 61,680 = 9
- √2 — Pythagoras's (√2)
- Digit 61,680 = 9
- ln 2 — Natural log of 2
- Digit 61,680 = 3
- γ — Euler-Mascheroni (γ)
- Digit 61,680 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61680, here are decompositions:
- 7 + 61673 = 61680
- 13 + 61667 = 61680
- 23 + 61657 = 61680
- 29 + 61651 = 61680
- 37 + 61643 = 61680
- 43 + 61637 = 61680
- 53 + 61627 = 61680
- 67 + 61613 = 61680
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.240.240.
- Address
- 0.0.240.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.240.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 61680 first appears in π at position 13,797 of the decimal expansion (the 13,797ordinal-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°.