103,740
103,740 is a composite number, even.
103,740 (one hundred three thousand seven hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 13 × 19. Its proper divisors sum to 272,580, more than the number itself, making it an abundant number. It is the 455th triangular number. Written other ways, in hexadecimal, 0x1953C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 47,301
- Recamán's sequence
- a(94,919) = 103,740
- Square (n²)
- 10,761,987,600
- Cube (n³)
- 1,116,448,593,624,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 376,320
- φ(n) — Euler's totient
- 20,736
- Sum of prime factors
- 51
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,740 = [322; (11, 1, 1, 160, 1, 1, 11, 644)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand seven hundred forty
- Ordinal
- 103740th
- Binary
- 11001010100111100
- Octal
- 312474
- Hexadecimal
- 0x1953C
- Base64
- AZU8
- One's complement
- 4,294,863,555 (32-bit)
- Scientific notation
- 1.0374 × 10⁵
- As a duration
- 103,740 s = 1 day, 4 hours, 49 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ργψμʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋧·𝋠
- Chinese
- 一十萬三千七百四十
- Chinese (financial)
- 壹拾萬參仟柒佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103740, here are decompositions:
- 17 + 103723 = 103740
- 37 + 103703 = 103740
- 41 + 103699 = 103740
- 53 + 103687 = 103740
- 59 + 103681 = 103740
- 71 + 103669 = 103740
- 83 + 103657 = 103740
- 89 + 103651 = 103740
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.60.
- Address
- 0.1.149.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.149.60
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 103,740 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.