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68223840 = 2535891597
BaseRepresentation
bin1000001000100…
…00001101100000
311202101010111220
410010100031200
5114431130330
610434135040
71455615216
oct404201540
9152333456
1068223840
1135568643
121aa21480
1311199249
1490bccb6
155ec9710
hex4110360

68223840 has 96 divisors (see below), whose sum is σ = 217455840. Its totient is φ = 17977344.

The previous prime is 68223833. The next prime is 68223899. The reversal of 68223840 is 4832286.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 41922 + ... + 43518.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 268223840 is an apocalyptic number.

68223840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108727920).

68223840 is an abundant number, since it is smaller than the sum of its proper divisors (149232000).

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

68223840 is a wasteful number, since it uses less digits than its factorization.

68223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 68223840 is about 8259.7723939586. The cubic root of 68223840 is about 408.6128812770.

The spelling of 68223840 in words is "sixty-eight million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1597 1780 2136 2670 2848 3194 3560 4272 4791 5340 6388 7120 7985 8544 9582 10680 12776 14240 15970 19164 21360 23955 25552 31940 38328 42720 47910 51104 63880 76656 95820 127760 142133 153312 191640 255520 284266 383280 426399 568532 710665 766560 852798 1137064 1421330 1705596 2131995 2274128 2842660 3411192 4263990 4548256 5685320 6822384 8527980 11370640 13644768 17055960 22741280 34111920 68223840