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68711040 = 2732579151
BaseRepresentation
bin1000001100001…
…11001010000000
311210021212211100
410012013022000
5120042223130
610452414400
71463014506
oct406071200
9153255740
1068711040
1135870692
121b017400
1311309c28
1491a8676
156073c60
hex4187280

68711040 has 192 divisors, whose sum is σ = 241862400. Its totient is φ = 17971200.

The previous prime is 68711029. The next prime is 68711047. The reversal of 68711040 is 4011786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 68710995 and 68711013.

It is not an unprimeable number, because it can be changed into a prime (68711047) 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, 454965 + ... + 455115.

It is an arithmetic number, because the mean of its divisors is an integer number (1259700).

Almost surely, 268711040 is an apocalyptic number.

68711040 is a gapful number since it is divisible by the number (60) 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 68711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931200).

68711040 is an abundant number, since it is smaller than the sum of its proper divisors (173151360).

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

68711040 is a wasteful number, since it uses less digits than its factorization.

68711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 68711040 is about 8289.2122665546. The cubic root of 68711040 is about 409.5832370256.

The spelling of 68711040 in words is "sixty-eight million, seven hundred eleven thousand, forty".