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68328540 = 223257261127
BaseRepresentation
bin1000001001010…
…01110001011100
311202120110010200
410010221301130
5114443003130
610440303500
71456532400
oct404516134
9152513120
1068328540
113562a275
121aa71b90
1311204ab7
149109100
155eea760
hex4129c5c

68328540 has 216 divisors, whose sum is σ = 246984192. Its totient is φ = 15240960.

The previous prime is 68328527. The next prime is 68328563. The reversal of 68328540 is 4582386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68328495 and 68328504.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 537957 + ... + 538083.

Almost surely, 268328540 is an apocalyptic number.

68328540 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 68328540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

68328540 is an abundant number, since it is smaller than the sum of its proper divisors (178655652).

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

68328540 is a wasteful number, since it uses less digits than its factorization.

68328540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68328540 is about 8266.1079112240. The cubic root of 68328540 is about 408.8218009266.

The spelling of 68328540 in words is "sixty-eight million, three hundred twenty-eight thousand, five hundred forty".