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68208144 = 24367127167
BaseRepresentation
bin1000001000011…
…00011000010000
311202100022222120
410010030120100
5114430130034
610433534240
71455521364
oct404143020
9152308876
1068208144
1135557874
121aa14380
1311192064
1490b72a4
155ec4c49
hex410c610

68208144 has 80 divisors (see below), whose sum is σ = 181321728. Its totient is φ = 22087296.

The previous prime is 68208103. The next prime is 68208149. The reversal of 68208144 is 44180286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68208149) 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 15 ways as a sum of consecutive naturals, for example, 408349 + ... + 408515.

Almost surely, 268208144 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 68208144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90660864).

68208144 is an abundant number, since it is smaller than the sum of its proper divisors (113113584).

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

68208144 is a wasteful number, since it uses less digits than its factorization.

68208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 68208144 is about 8258.8221920562. The cubic root of 68208144 is about 408.5815428685.

The spelling of 68208144 in words is "sixty-eight million, two hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 127 134 167 201 254 268 334 381 402 501 508 536 668 762 804 1002 1016 1072 1336 1524 1608 2004 2032 2672 3048 3216 4008 6096 8016 8509 11189 17018 21209 22378 25527 33567 34036 42418 44756 51054 63627 67134 68072 84836 89512 102108 127254 134268 136144 169672 179024 204216 254508 268536 339344 408432 509016 537072 1018032 1421003 2842006 4263009 5684012 8526018 11368024 17052036 22736048 34104072 68208144