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68706624 = 2637267109
BaseRepresentation
bin1000001100001…
…10000101000000
311210021122202210
410012012011000
5120042102444
610452342120
71462665600
oct406060500
9153248683
1068706624
1135868338
121b014940
1311307c0c
1491a6c00
1560727b9
hex4186140

68706624 has 168 divisors, whose sum is σ = 216590880. Its totient is φ = 19160064.

The previous prime is 68706623. The next prime is 68706667. The reversal of 68706624 is 42660786.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68706623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 630282 + ... + 630390.

Almost surely, 268706624 is an apocalyptic number.

68706624 is a gapful number since it is divisible by the number (64) 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 68706624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108295440).

68706624 is an abundant number, since it is smaller than the sum of its proper divisors (147884256).

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

68706624 is a wasteful number, since it uses less digits than its factorization.

68706624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 68706624 is about 8288.9458919696. The cubic root of 68706624 is about 409.5744623157.

The spelling of 68706624 in words is "sixty-eight million, seven hundred six thousand, six hundred twenty-four".