Search a number
-
+
65685564 = 22327277941
BaseRepresentation
bin1111101010010…
…0100000111100
311120121011122200
43322210200330
5113303414224
610303511500
71425214050
oct372444074
9146534580
1065685564
113409459a
1219bb8590
13107baac9
148a1bc60
155b775c9
hex3ea483c

65685564 has 72 divisors (see below), whose sum is σ = 190645728. Its totient is φ = 18679680.

The previous prime is 65685541. The next prime is 65685583. The reversal of 65685564 is 46558656.

It is a happy number.

65685564 is a `hidden beast` number, since 6 + 5 + 6 + 85 + 564 = 666.

65685564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69334 + ... + 70274.

Almost surely, 265685564 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 65685564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95322864).

65685564 is an abundant number, since it is smaller than the sum of its proper divisors (124960164).

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

65685564 is a wasteful number, since it uses less digits than its factorization.

65685564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1230 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 65685564 is about 8104.6631021900. The cubic root of 65685564 is about 403.4812067734.

The spelling of 65685564 in words is "sixty-five million, six hundred eighty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 831 941 1108 1662 1882 1939 2493 2823 3324 3764 3878 4986 5646 5817 6587 7756 8469 9972 11292 11634 13174 16938 17451 19761 23268 26348 33876 34902 39522 59283 69804 79044 118566 237132 260657 521314 781971 1042628 1563942 1824599 2345913 3127884 3649198 4691826 5473797 7298396 9383652 10947594 16421391 21895188 32842782 65685564