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69242000 = 245389389
BaseRepresentation
bin1000010000010…
…00110010010000
311211021212011112
410020020302100
5120211221000
610512032452
71500355502
oct410106220
9154255145
1069242000
11360a35a3
121b232728
13114647c9
1492a5d72
15612b235
hex4208c90

69242000 has 80 divisors (see below), whose sum is σ = 169743600. Its totient is φ = 27315200.

The previous prime is 69241979. The next prime is 69242011. The reversal of 69242000 is 24296.

It can be written as a sum of positive squares in 8 ways, for example, as 43191184 + 26050816 = 6572^2 + 5104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 177806 + ... + 178194.

It is an arithmetic number, because the mean of its divisors is an integer number (2121795).

Almost surely, 269242000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84871800).

69242000 is an abundant number, since it is smaller than the sum of its proper divisors (100501600).

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

69242000 is a wasteful number, since it uses less digits than its factorization.

69242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 69242000 is about 8321.1778012491. The cubic root of 69242000 is about 410.6355402187.

Adding to 69242000 its reverse (24296), we get a palindrome (69266296).

The spelling of 69242000 in words is "sixty-nine million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 389 400 445 500 712 778 890 1000 1424 1556 1780 1945 2000 2225 3112 3560 3890 4450 6224 7120 7780 8900 9725 11125 15560 17800 19450 22250 31120 34621 35600 38900 44500 48625 69242 77800 89000 97250 138484 155600 173105 178000 194500 276968 346210 389000 553936 692420 778000 865525 1384840 1731050 2769680 3462100 4327625 6924200 8655250 13848400 17310500 34621000 69242000