103,040
103,040 is a composite number, even.
103,040 (one hundred three thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 7 × 23. Its proper divisors sum to 190,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19280.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,301
- Recamán's sequence
- a(96,655) = 103,040
- Square (n²)
- 10,617,241,600
- Cube (n³)
- 1,094,000,574,464,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 293,760
- φ(n) — Euler's totient
- 33,792
- Sum of prime factors
- 49
Primality
Prime factorization: 2 7 × 5 × 7 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,040 = [320; (1, 640)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand forty
- Ordinal
- 103040th
- Binary
- 11001001010000000
- Octal
- 311200
- Hexadecimal
- 0x19280
- Base64
- AZKA
- One's complement
- 4,294,864,255 (32-bit)
- Scientific notation
- 1.0304 × 10⁵
- As a duration
- 103,040 s = 1 day, 4 hours, 37 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ργμʹ
- Mayan (base 20)
- 𝋬·𝋱·𝋬·𝋠
- Chinese
- 一十萬三千零四十
- Chinese (financial)
- 壹拾萬參仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103040, here are decompositions:
- 73 + 102967 = 103040
- 109 + 102931 = 103040
- 127 + 102913 = 103040
- 163 + 102877 = 103040
- 181 + 102859 = 103040
- 199 + 102841 = 103040
- 211 + 102829 = 103040
- 229 + 102811 = 103040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.128.
- Address
- 0.1.146.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.146.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 103,040 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 103040 first appears in π at position 126,329 of the decimal expansion (the 126,329ordinal-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.