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2186968 = 2373797
BaseRepresentation
bin1000010101111011011000
311010002221211
420111323120
51024440333
6114512504
724406000
oct10257330
94102854
102186968
111264113
12895734
135b7584
1440d000
152d2ecd
hex215ed8

2186968 has 32 divisors (see below), whose sum is σ = 4788000. Its totient is φ = 936096.

The previous prime is 2186941. The next prime is 2186969. The reversal of 2186968 is 8696812.

2186968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2186968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2186969) 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 7 ways as a sum of consecutive naturals, for example, 2346 + ... + 3142.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

22186968 is an apocalyptic number.

2186968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2186968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394000).

2186968 is an abundant number, since it is smaller than the sum of its proper divisors (2601032).

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

2186968 is an equidigital number, since it uses as much as digits as its factorization.

2186968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 806 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 2186968 is about 1478.8400860134. The cubic root of 2186968 is about 129.8018282383.

The spelling of 2186968 in words is "two million, one hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 797 1372 1594 2744 3188 5579 6376 11158 22316 39053 44632 78106 156212 273371 312424 546742 1093484 2186968