Search a number
-
+
2001330 = 232537601
BaseRepresentation
bin111101000100110110010
310202200022100
413220212302
51003020310
6110521230
723003532
oct7504662
93680270
102001330
1111476a1
12806216
13550c26
143a14c2
15297ec0
hex1e89b2

2001330 has 48 divisors (see below), whose sum is σ = 5352984. Its totient is φ = 518400.

The previous prime is 2001313. The next prime is 2001331. The reversal of 2001330 is 331002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1996569 + 4761 = 1413^2 + 69^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001331) 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 23 ways as a sum of consecutive naturals, for example, 3030 + ... + 3630.

22001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676492).

2001330 is an abundant number, since it is smaller than the sum of its proper divisors (3351654).

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

2001330 is a wasteful number, since it uses less digits than its factorization.

2001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2001330 is about 1414.6837102335. The cubic root of 2001330 is about 126.0200270510.

Adding to 2001330 its reverse (331002), we get a palindrome (2332332).

The spelling of 2001330 in words is "two million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 601 666 1110 1202 1665 1803 3005 3330 3606 5409 6010 9015 10818 18030 22237 27045 44474 54090 66711 111185 133422 200133 222370 333555 400266 667110 1000665 2001330