103,520
103,520 is a composite number, even.
103,520 (one hundred three thousand five hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 647. Its proper divisors sum to 141,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19460.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 25,301
- Recamán's sequence
- a(95,423) = 103,520
- Square (n²)
- 10,716,390,400
- Cube (n³)
- 1,109,360,734,208,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 244,944
- φ(n) — Euler's totient
- 41,344
- Sum of prime factors
- 662
Primality
Prime factorization: 2 5 × 5 × 647
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,520 = [321; (1, 2, 1, 12, 2, 1, 1, 1, 1, 2, 3, 1, 7, 3, 1, 2, 8, 1, 2, 2, 1, 14, 1, 159, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand five hundred twenty
- Ordinal
- 103520th
- Binary
- 11001010001100000
- Octal
- 312140
- Hexadecimal
- 0x19460
- Base64
- AZRg
- One's complement
- 4,294,863,775 (32-bit)
- Scientific notation
- 1.0352 × 10⁵
- As a duration
- 103,520 s = 1 day, 4 hours, 45 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ργφκʹ
- Mayan (base 20)
- 𝋬·𝋲·𝋰·𝋠
- Chinese
- 一十萬三千五百二十
- Chinese (financial)
- 壹拾萬參仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103520, here are decompositions:
- 37 + 103483 = 103520
- 97 + 103423 = 103520
- 127 + 103393 = 103520
- 163 + 103357 = 103520
- 229 + 103291 = 103520
- 283 + 103237 = 103520
- 337 + 103183 = 103520
- 349 + 103171 = 103520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.148.96.
- Address
- 0.1.148.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.148.96
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 103,520 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 103520 first appears in π at position 392,937 of the decimal expansion (the 392,937ordinal-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.