61,920
61,920 is a composite number, even.
61,920 (sixty-one thousand nine hundred twenty) is an even 5-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 43. Its proper divisors sum to 154,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 2,916
- Recamán's sequence
- a(43,652) = 61,920
- Square (n²)
- 3,834,086,400
- Cube (n³)
- 237,406,629,888,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 216,216
- φ(n) — Euler's totient
- 16,128
- Sum of prime factors
- 64
Primality
Prime factorization: 2 5 × 3 2 × 5 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√61,920 = [248; (1, 5, 6, 1, 5, 2, 1, 3, 2, 2, 1, 123, 1, 2, 2, 3, 1, 2, 5, 1, 6, 5, 1, 496)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- sixty-one thousand nine hundred twenty
- Ordinal
- 61920th
- Binary
- 1111000111100000
- Octal
- 170740
- Hexadecimal
- 0xF1E0
- Base64
- 8eA=
- One's complement
- 3,615 (16-bit)
- Scientific notation
- 6.192 × 10⁴
- As a duration
- 61,920 s = 17 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ξαϡκʹ
- Mayan (base 20)
- 𝋧·𝋮·𝋰·𝋠
- Chinese
- 六萬一千九百二十
- Chinese (financial)
- 陸萬壹仟玖佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 61,920 = 9
- e — Euler's number (e)
- Digit 61,920 = 6
- φ — Golden ratio (φ)
- Digit 61,920 = 2
- √2 — Pythagoras's (√2)
- Digit 61,920 = 0
- ln 2 — Natural log of 2
- Digit 61,920 = 7
- γ — Euler-Mascheroni (γ)
- Digit 61,920 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61920, here are decompositions:
- 11 + 61909 = 61920
- 41 + 61879 = 61920
- 59 + 61861 = 61920
- 83 + 61837 = 61920
- 101 + 61819 = 61920
- 107 + 61813 = 61920
- 139 + 61781 = 61920
- 163 + 61757 = 61920
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.241.224.
- Address
- 0.0.241.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.241.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 61920 first appears in π at position 6,750 of the decimal expansion (the 6,750ordinal-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°.