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68906250 = 2325772
BaseRepresentation
bin1000001101101…
…10110100001010
311210122210121100
410012312310022
5120120000000
610500522230
71464456600
oct406666412
9153583540
1068906250
1135994316
121b0b0376
1311377a3a
149219870
1560b1a00
hex41b6d0a

68906250 has 144 divisors (see below), whose sum is σ = 217089288. Its totient is φ = 15750000.

The previous prime is 68906239. The next prime is 68906303. The reversal of 68906250 is 5260986.

It can be written as a sum of positive squares in 4 ways, for example, as 41563809 + 27342441 = 6447^2 + 5229^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9843747 + ... + 9843753.

Almost surely, 268906250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68906250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108544644).

68906250 is an abundant number, since it is smaller than the sum of its proper divisors (148183038).

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

68906250 is an frugal number, since it uses more digits than its factorization.

68906250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68906250 is about 8300.9788579420. The cubic root of 68906250 is about 409.9707494500.

The spelling of 68906250 in words is "sixty-eight million, nine hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 125 126 147 150 175 210 225 245 250 294 315 350 375 441 450 490 525 625 630 735 750 875 882 1050 1125 1225 1250 1470 1575 1750 1875 2205 2250 2450 2625 3125 3150 3675 3750 4375 4410 5250 5625 6125 6250 7350 7875 8750 9375 11025 11250 12250 13125 15625 15750 18375 18750 21875 22050 26250 28125 30625 31250 36750 39375 43750 46875 55125 56250 61250 65625 78125 78750 91875 93750 109375 110250 131250 140625 153125 156250 183750 196875 218750 234375 275625 281250 306250 328125 393750 459375 468750 546875 551250 656250 703125 765625 918750 984375 1093750 1378125 1406250 1531250 1640625 1968750 2296875 2756250 3281250 3828125 4593750 4921875 6890625 7656250 9843750 11484375 13781250 22968750 34453125 68906250