Search a number
-
+
68524200 = 23325238069
BaseRepresentation
bin1000001010110…
…01100010101000
311202221101112100
410011121202220
5120020233300
610444413400
71461306003
oct405314250
9152841470
1068524200
1135753278
121ab47260
1311272b84
14915a53a
156038700
hex41598a8

68524200 has 72 divisors (see below), whose sum is σ = 230133150. Its totient is φ = 18272640.

The previous prime is 68524171. The next prime is 68524201. The reversal of 68524200 is 242586.

It can be written as a sum of positive squares in 3 ways, for example, as 54730404 + 13793796 = 7398^2 + 3714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (68524201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17235 + ... + 20834.

Almost surely, 268524200 is an apocalyptic number.

68524200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68524200 is an abundant number, since it is smaller than the sum of its proper divisors (161608950).

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

68524200 is a wasteful number, since it uses less digits than its factorization.

68524200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38091 (or 38079 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68524200 is about 8277.9345249887. The cubic root of 68524200 is about 409.2116519015.

Adding to 68524200 its reverse (242586), we get a palindrome (68766786).

The spelling of 68524200 in words is "sixty-eight million, five hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 38069 76138 114207 152276 190345 228414 304552 342621 380690 456828 571035 685242 761380 913656 951725 1142070 1370484 1522760 1713105 1903450 2284140 2740968 2855175 3426210 3806900 4568280 5710350 6852420 7613800 8565525 11420700 13704840 17131050 22841400 34262100 68524200