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68102832 = 24371571291
BaseRepresentation
bin1000000111100…
…10101010110000
311202010222112010
410003302222300
5114413242312
610431402520
71454602350
oct403625260
9152128463
1068102832
1135495736
121a983440
1311156145
14908ab60
155ea393c
hex40f2ab0

68102832 has 80 divisors (see below), whose sum is σ = 202502912. Its totient is φ = 19319040.

The previous prime is 68102831. The next prime is 68102849. The reversal of 68102832 is 23820186.

It is a self number, because there is not a number n which added to its sum of digits gives 68102832.

It is not an unprimeable number, because it can be changed into a prime (68102831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52107 + ... + 53397.

Almost surely, 268102832 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 68102832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101251456).

68102832 is an abundant number, since it is smaller than the sum of its proper divisors (134400080).

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

68102832 is a wasteful number, since it uses less digits than its factorization.

68102832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 68102832 is about 8252.4440016276. Note that the first 3 decimals coincide. The cubic root of 68102832 is about 408.3711539961.

The spelling of 68102832 in words is "sixty-eight million, one hundred two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1099 1256 1291 1884 2198 2512 2582 3297 3768 3873 4396 5164 6594 7536 7746 8792 9037 10328 13188 15492 17584 18074 20656 26376 27111 30984 36148 52752 54222 61968 72296 108444 144592 202687 216888 405374 433776 608061 810748 1216122 1418809 1621496 2432244 2837618 3242992 4256427 4864488 5675236 8512854 9728976 11350472 17025708 22700944 34051416 68102832