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2082096 = 243219761
BaseRepresentation
bin111111100010100110000
310220210002200
413330110300
51013111341
6112343200
723461152
oct7742460
93823080
102082096
1111a2345
12844b00
1357b913
143c2ad2
152b1db6
hex1fc530

2082096 has 60 divisors (see below), whose sum is σ = 6141720. Its totient is φ = 656640.

The previous prime is 2082079. The next prime is 2082097. The reversal of 2082096 is 6902802.

It is not an unprimeable number, because it can be changed into a prime (2082097) 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 11 ways as a sum of consecutive naturals, for example, 2356 + ... + 3116.

It is an arithmetic number, because the mean of its divisors is an integer number (102362).

22082096 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 2082096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070860).

2082096 is an abundant number, since it is smaller than the sum of its proper divisors (4059624).

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

2082096 is a wasteful number, since it uses less digits than its factorization.

2082096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

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

The square root of 2082096 is about 1442.9469844731. The cubic root of 2082096 is about 127.6929489194.

Adding to 2082096 its reverse (6902802), we get a palindrome (8984898).

It can be divided in two parts, 208 and 2096, that added together give a square (2304 = 482).

The spelling of 2082096 in words is "two million, eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 761 912 1368 1522 2283 2736 3044 4566 6088 6849 9132 12176 13698 14459 18264 27396 28918 36528 43377 54792 57836 86754 109584 115672 130131 173508 231344 260262 347016 520524 694032 1041048 2082096