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68193216 = 26327131301
BaseRepresentation
bin1000001000010…
…00101111000000
311202022120111200
410010020233000
5114424140331
610433341200
71455430020
oct404105700
9152276450
1068193216
1135547633
121aa07800
1311188320
1490b1a80
155ec05e6
hex4108bc0

68193216 has 168 divisors, whose sum is σ = 240755424. Its totient is φ = 17971200.

The previous prime is 68193199. The next prime is 68193217. The reversal of 68193216 is 61239186.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (68193217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51766 + ... + 53066.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 268193216 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 68193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

68193216 is an abundant number, since it is smaller than the sum of its proper divisors (172562208).

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

68193216 is a wasteful number, since it uses less digits than its factorization.

68193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 68193216 is about 8257.9183817715. The cubic root of 68193216 is about 408.5517333769.

The spelling of 68193216 in words is "sixty-eight million, one hundred ninety-three thousand, two hundred sixteen".