Search a number
-
+
68075744 = 2511415389
BaseRepresentation
bin1000000111011…
…00000011100000
311202002121100212
410003230003200
5114411410434
610431033252
71454430362
oct403540340
9152077325
1068075744
1135477350
121a96b828
1311146a09
149080d32
155e9a8ce
hex40ec0e0

68075744 has 96 divisors (see below), whose sum is σ = 154314720. Its totient is φ = 29286400.

The previous prime is 68075741. The next prime is 68075747. The reversal of 68075744 is 44757086.

It is an interprime number because it is at equal distance from previous prime (68075741) and next prime (68075747).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68075741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764852 + ... + 764940.

It is an arithmetic number, because the mean of its divisors is an integer number (1607445).

Almost surely, 268075744 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 68075744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77157360).

68075744 is an abundant number, since it is smaller than the sum of its proper divisors (86238976).

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

68075744 is a wasteful number, since it uses less digits than its factorization.

68075744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 68075744 is about 8250.8026276236. The cubic root of 68075744 is about 408.3170034101.

The spelling of 68075744 in words is "sixty-eight million, seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 53 82 88 89 106 164 176 178 212 328 352 356 424 451 583 656 712 848 902 979 1166 1312 1424 1696 1804 1958 2173 2332 2848 3608 3649 3916 4346 4664 4717 7216 7298 7832 8692 9328 9434 14432 14596 15664 17384 18656 18868 23903 29192 31328 34768 37736 40139 47806 51887 58384 69536 75472 80278 95612 103774 116768 150944 160556 191224 193397 207548 321112 382448 386794 415096 642224 764896 773588 830192 1284448 1547176 1660384 2127367 3094352 4254734 6188704 8509468 17018936 34037872 68075744