Search a number
-
+
1700 = 225217
BaseRepresentation
bin11010100100
32022222
4122210
523300
611512
74646
oct3244
92288
101700
111306
12b98
13a0a
14896
15785
hex6a4

1700 has 18 divisors (see below), whose sum is σ = 3906. Its totient is φ = 640.

The previous prime is 1699. The next prime is 1709. The reversal of 1700 is 71.

1700 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 1444 = 16^2 + 38^2 .

1700 is an undulating number in base 7 and base 13.

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (1709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (217).

1700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953).

1700 is an abundant number, since it is smaller than the sum of its proper divisors (2206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1700 is a wasteful number, since it uses less digits than its factorization.

1700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 1700 is about 41.2310562562. The cubic root of 1700 is about 11.9348319193.

Adding to 1700 its reverse (71), we get a palindrome (1771).

The spelling of 1700 in words is "one thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700