Search a number
-
+
2017950 = 2352111223
BaseRepresentation
bin111101100101010011110
310210112002220
413230222132
51004033300
6111130210
723103144
oct7545236
93715086
102017950
111159130
12813966
1355866c
143a7594
1529cda0
hex1eca9e

2017950 has 48 divisors (see below), whose sum is σ = 5463936. Its totient is φ = 488800.

The previous prime is 2017931. The next prime is 2017957. The reversal of 2017950 is 597102.

It is a self number, because there is not a number n which added to its sum of digits gives 2017950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (113832).

22017950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731968).

2017950 is an abundant number, since it is smaller than the sum of its proper divisors (3445986).

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

2017950 is a wasteful number, since it uses less digits than its factorization.

2017950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 2017950 is about 1420.5456698044. The cubic root of 2017950 is about 126.3679093213.

The spelling of 2017950 in words is "two million, seventeen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1223 1650 2446 3669 6115 7338 12230 13453 18345 26906 30575 36690 40359 61150 67265 80718 91725 134530 183450 201795 336325 403590 672650 1008975 2017950