13,460
13,460 is a composite number, even.
13,460 (thirteen thousand four hundred sixty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 673. Its proper divisors sum to 14,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3494.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 6,431
- Recamán's sequence
- a(47,355) = 13,460
- Square (n²)
- 181,171,600
- Cube (n³)
- 2,438,569,736,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 28,308
- φ(n) — Euler's totient
- 5,376
- Sum of prime factors
- 682
Primality
Prime factorization: 2 2 × 5 × 673
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,460 = [116; (58, 232)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand four hundred sixty
- Ordinal
- 13460th
- Binary
- 11010010010100
- Octal
- 32224
- Hexadecimal
- 0x3494
- Base64
- NJQ=
- One's complement
- 52,075 (16-bit)
- Scientific notation
- 1.346 × 10⁴
- As a duration
- 13,460 s = 3 hours, 44 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγυξʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋭·𝋠
- Chinese
- 一萬三千四百六十
- Chinese (financial)
- 壹萬參仟肆佰陸拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,460 = 6
- e — Euler's number (e)
- Digit 13,460 = 0
- φ — Golden ratio (φ)
- Digit 13,460 = 0
- √2 — Pythagoras's (√2)
- Digit 13,460 = 4
- ln 2 — Natural log of 2
- Digit 13,460 = 1
- γ — Euler-Mascheroni (γ)
- Digit 13,460 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13460, here are decompositions:
- 3 + 13457 = 13460
- 19 + 13441 = 13460
- 43 + 13417 = 13460
- 61 + 13399 = 13460
- 79 + 13381 = 13460
- 151 + 13309 = 13460
- 163 + 13297 = 13460
- 193 + 13267 = 13460
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 92 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.148.
- Address
- 0.0.52.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.148
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,460 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +22¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -40¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +23¢)
The digit sequence 13460 first appears in π at position 136,779 of the decimal expansion (the 136,779ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.