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68524740 = 223253710289
BaseRepresentation
bin1000001010110…
…01101011000100
311202221102021100
410011121223010
5120020242430
610444420100
71461310404
oct405315304
9152842240
1068524740
1135753719
121ab47630
13112731ab
14915a804
156038960
hex4159ac4

68524740 has 72 divisors (see below), whose sum is σ = 213496920. Its totient is φ = 17777664.

The previous prime is 68524733. The next prime is 68524741. The reversal of 68524740 is 4742586.

68524740 is a `hidden beast` number, since 68 + 524 + 74 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 35070084 = 5784^2 + 5922^2 .

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 = 68524695 and 68524704.

It is not an unprimeable number, because it can be changed into a prime (68524741) 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 23 ways as a sum of consecutive naturals, for example, 1516 + ... + 11804.

It is an arithmetic number, because the mean of its divisors is an integer number (2965235).

Almost surely, 268524740 is an apocalyptic number.

68524740 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 68524740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106748460).

68524740 is an abundant number, since it is smaller than the sum of its proper divisors (144972180).

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

68524740 is a wasteful number, since it uses less digits than its factorization.

68524740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 68524740 is about 8277.9671417565. The cubic root of 68524740 is about 409.2127268196.

It can be divided in two parts, 685 and 24740, that added together give a triangular number (25425 = T225).

The spelling of 68524740 in words is "sixty-eight million, five hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 10289 20578 30867 41156 51445 61734 92601 102890 123468 154335 185202 205780 308670 370404 380693 463005 617340 761386 926010 1142079 1522772 1852020 1903465 2284158 3426237 3806930 4568316 5710395 6852474 7613860 11420790 13704948 17131185 22841580 34262370 68524740