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2082906 = 232761271
BaseRepresentation
bin111111100100001011010
310220211012200
413330201122
51013123111
6112351030
723463420
oct7744132
93824180
102082906
1111a2a11
12845476
1357c0b7
143c3110
152b2256
hex1fc85a

2082906 has 48 divisors (see below), whose sum is σ = 5261568. Its totient is φ = 583200.

The previous prime is 2082893. The next prime is 2082907. The reversal of 2082906 is 6092802.

2082906 is nontrivially palindromic in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2082906.

It is not an unprimeable number, because it can be changed into a prime (2082907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7551 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

22082906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630784).

2082906 is an abundant number, since it is smaller than the sum of its proper divisors (3178662).

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

2082906 is a wasteful number, since it uses less digits than its factorization.

2082906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2082906 is about 1443.2276327732. The cubic root of 2082906 is about 127.7095056134.

The spelling of 2082906 in words is "two million, eighty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 271 366 427 542 549 813 854 1098 1281 1626 1897 2439 2562 3794 3843 4878 5691 7686 11382 16531 17073 33062 34146 49593 99186 115717 148779 231434 297558 347151 694302 1041453 2082906