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68708000 = 255389193
BaseRepresentation
bin1000001100001…
…10011010100000
311210021201122202
410012012122200
5120042124000
610452352332
71463002604
oct406063240
9153251582
1068708000
1135869379
121b0156a8
131130872a
1491a7504
156072dd5
hex41866a0

68708000 has 96 divisors (see below), whose sum is σ = 171596880. Its totient is φ = 27033600.

The previous prime is 68707973. The next prime is 68708069. The reversal of 68708000 is 80786.

It can be written as a sum of positive squares in 8 ways, for example, as 1008016 + 67699984 = 1004^2 + 8228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355904 + ... + 356096.

Almost surely, 268708000 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 68708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798440).

68708000 is an abundant number, since it is smaller than the sum of its proper divisors (102888880).

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

68708000 is a wasteful number, since it uses less digits than its factorization.

68708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 68708000 is about 8289.0288936642. The cubic root of 68708000 is about 409.5771965047.

Adding to 68708000 its reverse (80786), we get a palindrome (68788786).

The spelling of 68708000 in words is "sixty-eight million, seven hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 193 200 250 356 386 400 445 500 712 772 800 890 965 1000 1424 1544 1780 1930 2000 2225 2848 3088 3560 3860 4000 4450 4825 6176 7120 7720 8900 9650 11125 14240 15440 17177 17800 19300 22250 24125 30880 34354 35600 38600 44500 48250 68708 71200 77200 85885 89000 96500 137416 154400 171770 178000 193000 274832 343540 356000 386000 429425 549664 687080 772000 858850 1374160 1717700 2147125 2748320 3435400 4294250 6870800 8588500 13741600 17177000 34354000 68708000