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2000538 = 23453233
BaseRepresentation
bin111101000011010011010
310202122020000
413220122122
51003004123
6110513430
723001321
oct7503232
93678200
102000538
111147041
12805876
13550767
143a10b8
15297b43
hex1e869a

2000538 has 40 divisors (see below), whose sum is σ = 4586868. Its totient is φ = 651456.

The previous prime is 2000521. The next prime is 2000539. The reversal of 2000538 is 8350002.

It can be written as a sum of positive squares in 2 ways, for example, as 1996569 + 3969 = 1413^2 + 63^2 .

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 2000538.

It is not an unprimeable number, because it can be changed into a prime (2000539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8470 + ... + 8702.

22000538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293434).

2000538 is an abundant number, since it is smaller than the sum of its proper divisors (2586330).

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

2000538 is a wasteful number, since it uses less digits than its factorization.

2000538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

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

The square root of 2000538 is about 1414.4037613072. The cubic root of 2000538 is about 126.0034012687.

The spelling of 2000538 in words is "two million, five hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 233 318 466 477 699 954 1398 1431 2097 2862 4194 4293 6291 8586 12349 12582 18873 24698 37047 37746 74094 111141 222282 333423 666846 1000269 2000538