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2001288 = 233611367
BaseRepresentation
bin111101000100110001000
310202200020210
413220212020
51003020123
6110521120
723003442
oct7504610
93680223
102001288
111147663
128061a0
13550bc3
143a1492
15297e93
hex1e8988

2001288 has 32 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 655680.

The previous prime is 2001281. The next prime is 2001313. The reversal of 2001288 is 8821002.

It is not an unprimeable number, because it can be changed into a prime (2001281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

22001288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

2001288 is an abundant number, since it is smaller than the sum of its proper divisors (3087672).

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

2001288 is a wasteful number, since it uses less digits than its factorization.

2001288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2001288 is about 1414.6688658481. The cubic root of 2001288 is about 126.0191454908.

It can be divided in two parts, 20012 and 88, that added together give a triangular number (20100 = T200).

The spelling of 2001288 in words is "two million, one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1367 1464 2734 4101 5468 8202 10936 16404 32808 83387 166774 250161 333548 500322 667096 1000644 2001288