11,040
11,040 is a composite number, even.
11,040 (eleven thousand forty) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 23. Its proper divisors sum to 25,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2B20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,011
- Recamán's sequence
- a(174,179) = 11,040
- Square (n²)
- 121,881,600
- Cube (n³)
- 1,345,572,864,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 36,288
- φ(n) — Euler's totient
- 2,816
- Sum of prime factors
- 41
Primality
Prime factorization: 2 5 × 3 × 5 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√11,040 = [105; (14, 210)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- eleven thousand forty
- Ordinal
- 11040th
- Binary
- 10101100100000
- Octal
- 25440
- Hexadecimal
- 0x2B20
- Base64
- KyA=
- One's complement
- 54,495 (16-bit)
- Scientific notation
- 1.104 × 10⁴
- As a duration
- 11,040 s = 3 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιαμʹ
- Mayan (base 20)
- 𝋡·𝋧·𝋬·𝋠
- Chinese
- 一萬一千零四十
- Chinese (financial)
- 壹萬壹仟零肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 11,040 = 5
- e — Euler's number (e)
- Digit 11,040 = 0
- φ — Golden ratio (φ)
- Digit 11,040 = 0
- √2 — Pythagoras's (√2)
- Digit 11,040 = 5
- ln 2 — Natural log of 2
- Digit 11,040 = 9
- γ — Euler-Mascheroni (γ)
- Digit 11,040 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11040, here are decompositions:
- 13 + 11027 = 11040
- 37 + 11003 = 11040
- 47 + 10993 = 11040
- 53 + 10987 = 11040
- 61 + 10979 = 11040
- 67 + 10973 = 11040
- 83 + 10957 = 11040
- 101 + 10939 = 11040
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 AC A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.32.
- Address
- 0.0.43.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.43.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 11,040 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -21¢)
- Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +17¢)
- Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -20¢)
The digit sequence 11040 first appears in π at position 73,957 of the decimal expansion (the 73,957ordinal-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°.