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2000268 = 223318521
BaseRepresentation
bin111101000010110001100
310202121212000
413220112030
51003002033
6110512300
723000454
oct7502614
93677760
102000268
111146916
12805690
135505ba
143a0d64
15297a13
hex1e858c

2000268 has 24 divisors (see below), whose sum is σ = 5186160. Its totient is φ = 666720.

The previous prime is 2000261. The next prime is 2000269. The reversal of 2000268 is 8620002.

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 2000268.

It is not an unprimeable number, because it can be changed into a prime (2000261) 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, 9153 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (216090).

22000268 is an apocalyptic number.

It is an amenable number.

2000268 is an abundant number, since it is smaller than the sum of its proper divisors (3185892).

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

2000268 is a wasteful number, since it uses less digits than its factorization.

2000268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18534 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2000268 is about 1414.3083115078. The cubic root of 2000268 is about 125.9977323855.

The spelling of 2000268 in words is "two million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 18521 37042 55563 74084 111126 166689 222252 333378 500067 666756 1000134 2000268