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68863600 = 245213171941
BaseRepresentation
bin1000001101011…
…00011001110000
311210120122002201
410012230121300
5120112113400
610455552544
71464221341
oct406543160
9153518081
1068863600
1135965273
121b08b754
13113614c0
1492080c8
1560a406a
hex41ac670

68863600 has 240 divisors, whose sum is σ = 203424480. Its totient is φ = 22118400.

The previous prime is 68863573. The next prime is 68863631. The reversal of 68863600 is 636886.

It is a self number, because there is not a number n which added to its sum of digits gives 68863600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1679580 + ... + 1679620.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 268863600 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 68863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101712240).

68863600 is an abundant number, since it is smaller than the sum of its proper divisors (134560880).

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

68863600 is a wasteful number, since it uses less digits than its factorization.

68863600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 68863600 is about 8298.4094861606. The cubic root of 68863600 is about 409.8861472490.

The spelling of 68863600 in words is "sixty-eight million, eight hundred sixty-three thousand, six hundred".