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68361696 = 25321319312
BaseRepresentation
bin1000001001100…
…01110111100000
311202122010121200
410010301313200
5120000033241
610441121200
71460031144
oct404616740
9152563550
1068361696
1135652177
121aa89200
1311216c10
149117224
1560054b6
hex4131de0

68361696 has 216 divisors, whose sum is σ = 227714760. Its totient is φ = 19284480.

The previous prime is 68361673. The next prime is 68361697. The reversal of 68361696 is 69616386.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68361697) 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 35 ways as a sum of consecutive naturals, for example, 2205201 + ... + 2205231.

It is an arithmetic number, because the mean of its divisors is an integer number (1054235).

Almost surely, 268361696 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 68361696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113857380).

68361696 is an abundant number, since it is smaller than the sum of its proper divisors (159353064).

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

68361696 is a wasteful number, since it uses less digits than its factorization.

68361696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 68361696 is about 8268.1132067721. The cubic root of 68361696 is about 408.8879163143.

The spelling of 68361696 in words is "sixty-eight million, three hundred sixty-one thousand, six hundred ninety-six".