17700

17700 is a natural number that lies between 17699 and 17701. It is even and a multiple of 100, making it divisible by 2, 4, 5, 10, 20, 25, 50 and other factors that arise from its prime decomposition.

The prime factorization of 17700 is 2^2 × 3 × 5^2 × 59. Consequently, it has 36 positive divisors. The sum of all divisors is 52080, which means the sum of proper divisors is 34380. Because this sum exceeds 17700, the number is abundant. In base 10, 17700 is a Harshad (or Niven) number since the sum of its digits is 1 + 7 + 7 + 0 + 0 = 15 and 17700 is divisible by 15 (17700 ÷ 15 = 1180).

Additional notes: 17700 is not a perfect square or cube. Its factorization implies it is divisible by small values such as 3 and 5, and by 60 (since 60 = 2^2 × 3 × 5 and these factors appear in 17700). In time units, 17700 seconds equal 4 hours and 55 minutes (4:55), or about 4.9167 hours.

In summary, 17700 is an even, composite, and abundant number with a rich divisor structure derived from its factorization 2^2 × 3 × 5^2 × 59, and it serves as an example of a Harshad number in base 10.