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68324640 = 25351371039
BaseRepresentation
bin1000001001010…
…00110100100000
311202120020210020
410010220310200
5114442342030
610440233440
71456515126
oct404506440
9152506706
1068324640
113562734a
121aa6b880
13112030a7
149107916
155ee9510
hex4128d20

68324640 has 96 divisors (see below), whose sum is σ = 217002240. Its totient is φ = 18069504.

The previous prime is 68324629. The next prime is 68324653. The reversal of 68324640 is 4642386.

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

It is a super-2 number, since 2×683246402 = 9336512862259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65241 + ... + 66279.

It is an arithmetic number, because the mean of its divisors is an integer number (2260440).

Almost surely, 268324640 is an apocalyptic number.

68324640 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 68324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501120).

68324640 is an abundant number, since it is smaller than the sum of its proper divisors (148677600).

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

68324640 is a wasteful number, since it uses less digits than its factorization.

68324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 68324640 is about 8265.8720048159. The cubic root of 68324640 is about 408.8140226475.

The spelling of 68324640 in words is "sixty-eight million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 160 240 274 411 480 548 685 822 1039 1096 1370 1644 2055 2078 2192 2740 3117 3288 4110 4156 4384 5195 5480 6234 6576 8220 8312 10390 10960 12468 13152 15585 16440 16624 20780 21920 24936 31170 32880 33248 41560 49872 62340 65760 83120 99744 124680 142343 166240 249360 284686 427029 498720 569372 711715 854058 1138744 1423430 1708116 2135145 2277488 2846860 3416232 4270290 4554976 5693720 6832464 8540580 11387440 13664928 17081160 22774880 34162320 68324640