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68132652 = 22374173271
BaseRepresentation
bin1000000111110…
…01111100101100
311202012111102120
410003321330230
5114420221102
610432152540
71455055320
oct403717454
9152174376
1068132652
1135506085
121a998750
13111668a3
149097980
155eac6bc
hex40f9f2c

68132652 has 96 divisors (see below), whose sum is σ = 189364224. Its totient is φ = 18662400.

The previous prime is 68132641. The next prime is 68132653. The reversal of 68132652 is 25623186.

It is not an unprimeable number, because it can be changed into a prime (68132653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251277 + ... + 251547.

It is an arithmetic number, because the mean of its divisors is an integer number (1972544).

Almost surely, 268132652 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 68132652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94682112).

68132652 is an abundant number, since it is smaller than the sum of its proper divisors (121231572).

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

68132652 is a wasteful number, since it uses less digits than its factorization.

68132652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 68132652 is about 8254.2505413878. The cubic root of 68132652 is about 408.4307494171.

It can be divided in two parts, 681 and 32652, that added together give a palindrome (33333).

The spelling of 68132652 in words is "sixty-eight million, one hundred thirty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 73 82 84 123 146 164 219 246 271 287 292 438 492 511 542 574 813 861 876 1022 1084 1148 1533 1626 1722 1897 2044 2993 3066 3252 3444 3794 5691 5986 6132 7588 8979 11111 11382 11972 17958 19783 20951 22222 22764 33333 35916 39566 41902 44444 59349 62853 66666 77777 79132 83804 118698 125706 133332 138481 155554 233331 237396 251412 276962 311108 415443 466662 553924 811103 830886 933324 1622206 1661772 2433309 3244412 4866618 5677721 9733236 11355442 17033163 22710884 34066326 68132652