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2682096 = 24371787
BaseRepresentation
bin1010001110110011110000
312001021010220
422032303300
51141311341
6133253040
731540344
oct12166360
95037126
102682096
11157210a
12a94180
1372ba51
144db624
1537ea66
hex28ecf0

2682096 has 40 divisors (see below), whose sum is σ = 7035264. Its totient is φ = 880320.

The previous prime is 2682079. The next prime is 2682101. The reversal of 2682096 is 6902862.

2682096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3015 + ... + 3801.

22682096 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 2682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517632).

2682096 is an abundant number, since it is smaller than the sum of its proper divisors (4353168).

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

2682096 is a wasteful number, since it uses less digits than its factorization.

2682096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2682096 is about 1637.7105971447. The cubic root of 2682096 is about 138.9391932506.

The spelling of 2682096 in words is "two million, six hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 787 852 1136 1574 1704 2361 3148 3408 4722 6296 9444 12592 18888 37776 55877 111754 167631 223508 335262 447016 670524 894032 1341048 2682096