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65102868 = 223253149229
BaseRepresentation
bin1111100001011…
…0010000010100
311112111120100100
43320112100110
5113131242433
610243214100
71420236165
oct370262024
9145446310
1065102868
1133826826
1219977330
131064580c
14890976c
155aaeb13
hex3e16414

65102868 has 72 divisors (see below), whose sum is σ = 169533000. Its totient is φ = 21056256.

The previous prime is 65102831. The next prime is 65102909. The reversal of 65102868 is 86820156.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17740944 + 47361924 = 4212^2 + 6882^2 .

It is a super-3 number, since 3×651028683 (a number of 24 digits) contains 333 as substring.

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, 284178 + ... + 284406.

It is an arithmetic number, because the mean of its divisors is an integer number (2354625).

Almost surely, 265102868 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 65102868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84766500).

65102868 is an abundant number, since it is smaller than the sum of its proper divisors (104430132).

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

65102868 is a wasteful number, since it uses less digits than its factorization.

65102868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 65102868 is about 8068.6348287675. The cubic root of 65102868 is about 402.2845686903.

The spelling of 65102868 in words is "sixty-five million, one hundred two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 149 159 212 229 298 318 447 458 477 596 636 687 894 916 954 1341 1374 1788 1908 2061 2682 2748 4122 5364 7897 8244 12137 15794 23691 24274 31588 34121 36411 47382 48548 68242 71073 72822 94764 102363 109233 136484 142146 145644 204726 218466 284292 307089 409452 436932 614178 1228356 1808413 3616826 5425239 7233652 10850478 16275717 21700956 32551434 65102868