Search a number
-
+
68295696 = 24372943163
BaseRepresentation
bin1000001001000…
…01110000010000
311202111210002020
410010201300100
5114440430241
610435451440
71456334550
oct404416020
9152453066
1068295696
1135607627
121aa56b80
13111c2b71
1490db160
155ee0b66
hex4121c10

68295696 has 160 divisors (see below), whose sum is σ = 214748160. Its totient is φ = 18289152.

The previous prime is 68295683. The next prime is 68295701. The reversal of 68295696 is 69659286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418911 + ... + 419073.

It is an arithmetic number, because the mean of its divisors is an integer number (1342176).

Almost surely, 268295696 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 68295696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107374080).

68295696 is an abundant number, since it is smaller than the sum of its proper divisors (146452464).

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

68295696 is a wasteful number, since it uses less digits than its factorization.

68295696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 68295696 is about 8264.1210058905. The cubic root of 68295696 is about 408.7562865982.

The spelling of 68295696 in words is "sixty-eight million, two hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 43 48 56 58 84 86 87 112 116 129 163 168 172 174 203 232 258 301 326 336 344 348 406 464 489 516 602 609 652 688 696 812 903 978 1032 1141 1204 1218 1247 1304 1392 1624 1806 1956 2064 2282 2408 2436 2494 2608 3248 3423 3612 3741 3912 4564 4727 4816 4872 4988 6846 7009 7224 7482 7824 8729 9128 9454 9744 9976 13692 14018 14181 14448 14964 17458 18256 18908 19952 21027 26187 27384 28036 28362 29928 33089 34916 37816 42054 49063 52374 54768 56072 56724 59856 66178 69832 75632 84108 98126 99267 104748 112144 113448 132356 139664 147189 168216 196252 198534 203261 209496 226896 264712 294378 336432 392504 397068 406522 418992 529424 588756 609783 785008 794136 813044 1177512 1219566 1422827 1588272 1626088 2355024 2439132 2845654 3252176 4268481 4878264 5691308 8536962 9756528 11382616 17073924 22765232 34147848 68295696