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68387904 = 2632139133
BaseRepresentation
bin1000001001110…
…00010001000000
311202200110120100
410010320101000
5120001403104
610441442400
71460200434
oct404702100
9152613510
1068387904
113566a932
121aaa0400
1311225b20
1491229c4
15600d139
hex4138440

68387904 has 84 divisors (see below), whose sum is σ = 211123276. Its totient is φ = 21040128.

The previous prime is 68387899. The next prime is 68387909. The reversal of 68387904 is 40978386.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68387899) and next prime (68387909).

It can be written as a sum of positive squares in 2 ways, for example, as 31809600 + 36578304 = 5640^2 + 6048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68387904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68387909) 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 11 ways as a sum of consecutive naturals, for example, 2922 + ... + 12054.

Almost surely, 268387904 is an apocalyptic number.

68387904 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 68387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105561638).

68387904 is an abundant number, since it is smaller than the sum of its proper divisors (142735372).

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

68387904 is a wasteful number, since it uses less digits than its factorization.

68387904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 68387904 is about 8269.6979388609. The cubic root of 68387904 is about 408.9401617773.

The spelling of 68387904 in words is "sixty-eight million, three hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 9133 18266 27399 36532 54798 73064 82197 109596 118729 146128 164394 219192 237458 292256 328788 356187 438384 474916 584512 657576 712374 876768 949832 1068561 1315152 1424748 1753536 1899664 2137122 2630304 2849496 3799328 4274244 5260608 5698992 7598656 8548488 11397984 17096976 22795968 34193952 68387904