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68003190 = 23252113581
BaseRepresentation
bin1000000110110…
…10010101110110
311201221220211200
410003122111312
5114402100230
610425313330
71454006013
oct403322566
9151856750
1068003190
1135427892
121a935846
131111c998
14906270a
155e84160
hex40da576

68003190 has 48 divisors (see below), whose sum is σ = 177695856. Its totient is φ = 18043200.

The previous prime is 68003189. The next prime is 68003207. The reversal of 68003190 is 9130086.

It is a super-2 number, since 2×680031902 = 9248867700352200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17200 + ... + 20780.

It is an arithmetic number, because the mean of its divisors is an integer number (3701997).

Almost surely, 268003190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68003190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88847928).

68003190 is an abundant number, since it is smaller than the sum of its proper divisors (109692666).

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

68003190 is a wasteful number, since it uses less digits than its factorization.

68003190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 68003190 is about 8246.4046711279. The cubic root of 68003190 is about 408.1718926801.

The spelling of 68003190 in words is "sixty-eight million, three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 3165 3581 3798 6330 7162 9495 10743 17905 18990 21486 32229 35810 53715 64458 107430 161145 322290 755591 1511182 2266773 3777955 4533546 6800319 7555910 11333865 13600638 22667730 34001595 68003190