Search a number
-
+
268385070 = 235192931607
BaseRepresentation
bin11111111111100…
…11101100101110
3200201000101002210
433333303230232
51022201310240
642344231250
76436143522
oct1777635456
9621011083
10268385070
11128550748
1275a6b526
13437aba45
1427903d82
1518866780
hexfff3b2e

268385070 has 64 divisors (see below), whose sum is σ = 680762880. Its totient is φ = 67529088.

The previous prime is 268385021. The next prime is 268385113. The reversal of 268385070 is 70583862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166207 + ... + 167813.

It is an arithmetic number, because the mean of its divisors is an integer number (10636920).

Almost surely, 2268385070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268385070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340381440).

268385070 is an abundant number, since it is smaller than the sum of its proper divisors (412377810).

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

268385070 is a wasteful number, since it uses less digits than its factorization.

268385070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 268385070 is about 16382.4622691462. The cubic root of 268385070 is about 645.0392140091.

The spelling of 268385070 in words is "two hundred sixty-eight million, three hundred eighty-five thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 293 570 586 879 1465 1607 1758 2930 3214 4395 4821 5567 8035 8790 9642 11134 16070 16701 24105 27835 30533 33402 48210 55670 61066 83505 91599 152665 167010 183198 305330 457995 470851 915990 941702 1412553 2354255 2825106 4708510 7062765 8946169 14125530 17892338 26838507 44730845 53677014 89461690 134192535 268385070