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68210784 = 2532298167
BaseRepresentation
bin1000001000011…
…01000001100000
311202100110121100
410010031001200
5114430221114
610433554400
71455532155
oct404150140
9152313540
1068210784
1135559854
121aa15a00
1311193315
1490b822c
155ec5909
hex410d060

68210784 has 72 divisors (see below), whose sum is σ = 200687760. Its totient is φ = 21950208.

The previous prime is 68210759. The next prime is 68210797. The reversal of 68210784 is 48701286.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×682107842 = 9305422107789312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4269 + ... + 12435.

It is an arithmetic number, because the mean of its divisors is an integer number (2787330).

Almost surely, 268210784 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 68210784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100343880).

68210784 is an abundant number, since it is smaller than the sum of its proper divisors (132476976).

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

68210784 is a wasteful number, since it uses less digits than its factorization.

68210784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 68210784 is about 8258.9820195954. The cubic root of 68210784 is about 408.5868141909.

The spelling of 68210784 in words is "sixty-eight million, two hundred ten thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8167 8352 16334 24501 32668 49002 65336 73503 98004 130672 147006 196008 236843 261344 294012 392016 473686 588024 710529 784032 947372 1176048 1421058 1894744 2131587 2352096 2842116 3789488 4263174 5684232 7578976 8526348 11368464 17052696 22736928 34105392 68210784