Search a number
-
+
1663000 = 23531663
BaseRepresentation
bin110010110000000011000
310010111012121
412112000120
5411204000
655351024
720064253
oct6260030
93114177
101663000
11a36489
12682474
13462c31
1431409a
1522cb1a
hex196018

1663000 has 32 divisors (see below), whose sum is σ = 3893760. Its totient is φ = 664800.

The previous prime is 1662979. The next prime is 1663009. The reversal of 1663000 is 3661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 1831.

It is an arithmetic number, because the mean of its divisors is an integer number (121680).

21663000 is an apocalyptic number.

1663000 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 1663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946880).

1663000 is an abundant number, since it is smaller than the sum of its proper divisors (2230760).

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

1663000 is a wasteful number, since it uses less digits than its factorization.

1663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1663000 is about 1289.5735729302. The cubic root of 1663000 is about 118.4761000302.

Adding to 1663000 its reverse (3661), we get a palindrome (1666661).

The spelling of 1663000 in words is "one million, six hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1663 3326 6652 8315 13304 16630 33260 41575 66520 83150 166300 207875 332600 415750 831500 1663000