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2064216 = 2337111117
BaseRepresentation
bin111110111111101011000
310212212120110
413313331120
51012023331
6112124320
723355060
oct7677530
93785513
102064216
11118a970
128366a0
1357373b
143ba3a0
152ab946
hex1f7f58

2064216 has 64 divisors (see below), whose sum is σ = 6439680. Its totient is φ = 535680.

The previous prime is 2064199. The next prime is 2064229. The reversal of 2064216 is 6124602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2064192 and 2064201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (100620).

22064216 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 2064216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219840).

2064216 is an abundant number, since it is smaller than the sum of its proper divisors (4375464).

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

2064216 is a wasteful number, since it uses less digits than its factorization.

2064216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2064216 is about 1436.7379719350. The cubic root of 2064216 is about 127.3263765163.

Adding to 2064216 its reverse (6124602), we get a palindrome (8188818).

The spelling of 2064216 in words is "two million, sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1117 1848 2234 3351 4468 6702 7819 8936 12287 13404 15638 23457 24574 26808 31276 36861 46914 49148 62552 73722 86009 93828 98296 147444 172018 187656 258027 294888 344036 516054 688072 1032108 2064216