61,440
61,440 is a composite number, even.
61,440 (sixty-one thousand four hundred forty) is an even 5-digit number. It is a composite number with 52 divisors, and factors as 2¹² × 3 × 5. Its proper divisors sum to 135,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 4,416
- Recamán's sequence
- a(28,304) = 61,440
- Square (n²)
- 3,774,873,600
- Cube (n³)
- 231,928,233,984,000
- Divisor count
- 52
- σ(n) — sum of divisors
- 196,584
- φ(n) — Euler's totient
- 16,384
- Sum of prime factors
- 32
Primality
Prime factorization: 2 12 × 3 × 5
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√61,440 = [247; (1, 6, 1, 2, 1, 30, 4, 7, 2, 123, 2, 7, 4, 30, 1, 2, 1, 6, 1, 494)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- sixty-one thousand four hundred forty
- Ordinal
- 61440th
- Binary
- 1111000000000000
- Octal
- 170000
- Hexadecimal
- 0xF000
- Base64
- 8AA=
- One's complement
- 4,095 (16-bit)
- Scientific notation
- 6.144 × 10⁴
- As a duration
- 61,440 s = 17 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ξαυμʹ
- Mayan (base 20)
- 𝋧·𝋭·𝋬·𝋠
- Chinese
- 六萬一千四百四十
- Chinese (financial)
- 陸萬壹仟肆佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 61,440 = 5
- e — Euler's number (e)
- Digit 61,440 = 3
- φ — Golden ratio (φ)
- Digit 61,440 = 2
- √2 — Pythagoras's (√2)
- Digit 61,440 = 8
- ln 2 — Natural log of 2
- Digit 61,440 = 5
- γ — Euler-Mascheroni (γ)
- Digit 61,440 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61440, here are decompositions:
- 23 + 61417 = 61440
- 31 + 61409 = 61440
- 37 + 61403 = 61440
- 59 + 61381 = 61440
- 61 + 61379 = 61440
- 83 + 61357 = 61440
- 97 + 61343 = 61440
- 101 + 61339 = 61440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.240.0.
- Address
- 0.0.240.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.240.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 61440 first appears in π at position 103,457 of the decimal expansion (the 103,457ordinal-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°.