Search a number
-
+
68388936 = 233711231609
BaseRepresentation
bin1000001001110…
…00100001001000
311202200111222120
410010320201020
5120001421221
610441451240
71460203440
oct404704110
9152614876
1068388936
1135670690
121aaa0b20
1311226435
149123120
15600d5c6
hex4138848

68388936 has 128 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 16980480.

The previous prime is 68388917. The next prime is 68388941. The reversal of 68388936 is 63988386.

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, 41700 + ... + 43308.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 268388936 is an apocalyptic number.

68388936 is a gapful number since it is divisible by the number (66) 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 68388936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

68388936 is an abundant number, since it is smaller than the sum of its proper divisors (154177464).

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

68388936 is a wasteful number, since it uses less digits than its factorization.

68388936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1655 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 68388936 is about 8269.7603351004. The cubic root of 68388936 is about 408.9422187888.

The spelling of 68388936 in words is "sixty-eight million, three hundred eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 759 924 966 1012 1288 1518 1609 1771 1848 1932 2024 3036 3218 3542 3864 4827 5313 6072 6436 7084 9654 10626 11263 12872 14168 17699 19308 21252 22526 33789 35398 37007 38616 42504 45052 53097 67578 70796 74014 90104 106194 111021 123893 135156 141592 148028 212388 222042 247786 259049 270312 296056 371679 407077 424776 444084 495572 518098 743358 777147 814154 888168 991144 1036196 1221231 1486716 1554294 1628308 2072392 2442462 2849539 2973432 3108588 3256616 4884924 5699078 6217176 8548617 9769848 11398156 17097234 22796312 34194468 68388936