Search a number
-
+
68027336 = 231317109353
BaseRepresentation
bin1000000111000…
…00001111001000
311202000010221222
410003200033020
5114403333321
610430021212
71454136266
oct403401710
9152003858
1068027336
1135443a43
121a947808
131112a980
14906b436
155e8b3ab
hex40e03c8

68027336 has 64 divisors (see below), whose sum is σ = 147193200. Its totient is φ = 29196288.

The previous prime is 68027329. The next prime is 68027347. The reversal of 68027336 is 63372086.

It can be written as a sum of positive squares in 8 ways, for example, as 34456900 + 33570436 = 5870^2 + 5794^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68027296 and 68027305.

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, 192536 + ... + 192888.

Almost surely, 268027336 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 68027336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73596600).

68027336 is an abundant number, since it is smaller than the sum of its proper divisors (79165864).

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

68027336 is a wasteful number, since it uses less digits than its factorization.

68027336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 68027336 is about 8247.8685731527. The cubic root of 68027336 is about 408.2201970427.

The spelling of 68027336 in words is "sixty-eight million, twenty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 109 136 218 221 353 436 442 706 872 884 1412 1417 1768 1853 2824 2834 3706 4589 5668 6001 7412 9178 11336 12002 14824 18356 24004 24089 36712 38477 48008 48178 76954 78013 96356 153908 156026 192712 307816 312052 500201 624104 654109 1000402 1308218 2000804 2616436 4001608 5232872 8503417 17006834 34013668 68027336