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68260572 = 223241103449
BaseRepresentation
bin1000001000110…
…01001011011100
311202102222220100
410010121023130
5114433314242
610435021100
71456130262
oct404311334
9152388810
1068260572
11355931a6
121aa3a790
13111acb93
1490cc432
155ed554c
hex41192dc

68260572 has 72 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 21934080.

The previous prime is 68260513. The next prime is 68260583. The reversal of 68260572 is 27506286.

68260572 is a `hidden beast` number, since 6 + 82 + 6 + 0 + 572 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 151804 + ... + 152252.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 268260572 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 68260572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

68260572 is an abundant number, since it is smaller than the sum of its proper divisors (110609028).

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

68260572 is a wasteful number, since it uses less digits than its factorization.

68260572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68260572 is about 8261.9956427004. The cubic root of 68260572 is about 408.6862010798.

The spelling of 68260572 in words is "sixty-eight million, two hundred sixty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 103 123 164 206 246 309 369 412 449 492 618 738 898 927 1236 1347 1476 1796 1854 2694 3708 4041 4223 5388 8082 8446 12669 16164 16892 18409 25338 36818 38007 46247 50676 55227 73636 76014 92494 110454 138741 152028 165681 184988 220908 277482 331362 416223 554964 662724 832446 1664892 1896127 3792254 5688381 7584508 11376762 17065143 22753524 34130286 68260572