15,040
15,040 is a composite number, even.
15,040 (fifteen thousand forty) is an even 5-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 47. Its proper divisors sum to 21,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3AC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,051
- Recamán's sequence
- a(90,220) = 15,040
- Square (n²)
- 226,201,600
- Cube (n³)
- 3,402,072,064,000
- Divisor count
- 28
- σ(n) — sum of divisors
- 36,576
- φ(n) — Euler's totient
- 5,888
- Sum of prime factors
- 64
Primality
Prime factorization: 2 6 × 5 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√15,040 = [122; (1, 1, 1, 3, 6, 61, 6, 3, 1, 1, 1, 244)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- fifteen thousand forty
- Ordinal
- 15040th
- Binary
- 11101011000000
- Octal
- 35300
- Hexadecimal
- 0x3AC0
- Base64
- OsA=
- One's complement
- 50,495 (16-bit)
- Scientific notation
- 1.504 × 10⁴
- As a duration
- 15,040 s = 4 hours, 10 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιεμʹ
- Mayan (base 20)
- 𝋡·𝋱·𝋬·𝋠
- Chinese
- 一萬五千零四十
- Chinese (financial)
- 壹萬伍仟零肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 15,040 = 5
- e — Euler's number (e)
- Digit 15,040 = 9
- φ — Golden ratio (φ)
- Digit 15,040 = 7
- √2 — Pythagoras's (√2)
- Digit 15,040 = 5
- ln 2 — Natural log of 2
- Digit 15,040 = 1
- γ — Euler-Mascheroni (γ)
- Digit 15,040 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15040, here are decompositions:
- 23 + 15017 = 15040
- 71 + 14969 = 15040
- 83 + 14957 = 15040
- 89 + 14951 = 15040
- 101 + 14939 = 15040
- 149 + 14891 = 15040
- 173 + 14867 = 15040
- 197 + 14843 = 15040
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 AB 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.58.192.
- Address
- 0.0.58.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.58.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 15,040 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +14¢)
- Scientific pitch (C4 = 256 Hz): B9 (15464.4 Hz, -48¢ — about midway to A♯9)
- Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +15¢)
The digit sequence 15040 first appears in π at position 60,359 of the decimal expansion (the 60,359ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.