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68916 = 2235743
BaseRepresentation
bin10000110100110100
310111112110
4100310310
54201131
61251020
7404631
oct206464
9114473
1068916
1147861
1233a70
13254a3
141b188
1515646
hex10d34

68916 has 12 divisors (see below), whose sum is σ = 160832. Its totient is φ = 22968.

The previous prime is 68909. The next prime is 68917. The reversal of 68916 is 61986.

68916 = T43 + T44 + ... + T78.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68917) by changing a digit.

68916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2860 + ... + 2883.

268916 is an apocalyptic number.

It is an amenable number.

68916 is an abundant number, since it is smaller than the sum of its proper divisors (91916).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80416).

68916 is a wasteful number, since it uses less digits than its factorization.

68916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5748 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 68916 is about 262.5185707717. The cubic root of 68916 is about 40.9990085027. Note that the first 3 decimals are identical.

Subtracting from 68916 its sum of digits (30), we obtain a palindrome (68886).

The spelling of 68916 in words is "sixty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 5743 11486 17229 22972 34458 68916