Search a number
-
+
2003058 = 232257433
BaseRepresentation
bin111101001000001110010
310202202200100
413221001302
51003044213
6110533230
723011551
oct7510162
93682610
102003058
111148a22
12807216
13551955
143a1d98
15298773
hex1e9072

2003058 has 24 divisors (see below), whose sum is σ = 4366908. Its totient is φ = 663552.

The previous prime is 2003051. The next prime is 2003081. The reversal of 2003058 is 8503002.

It can be written as a sum of positive squares in 2 ways, for example, as 1979649 + 23409 = 1407^2 + 153^2 .

It is a super-3 number, since 3×20030583 = 24110256410341413336, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2003058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4410 + ... + 4842.

22003058 is an apocalyptic number.

2003058 is an abundant number, since it is smaller than the sum of its proper divisors (2363850).

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

2003058 is a wasteful number, since it uses less digits than its factorization.

2003058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2003058 is about 1415.2943156814. The cubic root of 2003058 is about 126.0562862657.

The spelling of 2003058 in words is "two million, three thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 257 433 514 771 866 1299 1542 2313 2598 3897 4626 7794 111281 222562 333843 667686 1001529 2003058