Search a number
-
+
65091768 = 23371632377
BaseRepresentation
bin1111100001001…
…1100010111000
311112111000010020
43320103202320
5113130414033
610243050440
71420161630
oct370234270
9145430106
1065091768
1133819455
1219970a20
1310640751
1489056c0
155aab6b3
hex3e138b8

65091768 has 64 divisors (see below), whose sum is σ = 187196160. Its totient is φ = 18475776.

The previous prime is 65091751. The next prime is 65091779. The reversal of 65091768 is 86719056.

65091768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×650917682 = 8473876522731648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 26196 + ... + 28572.

It is an arithmetic number, because the mean of its divisors is an integer number (2924940).

Almost surely, 265091768 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 65091768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93598080).

65091768 is an abundant number, since it is smaller than the sum of its proper divisors (122104392).

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

65091768 is a wasteful number, since it uses less digits than its factorization.

65091768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 65091768 is about 8067.9469507428. The cubic root of 65091768 is about 402.2617042981.

The spelling of 65091768 in words is "sixty-five million, ninety-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 2377 3423 3912 4564 4754 6846 7131 9128 9508 13692 14262 16639 19016 27384 28524 33278 49917 57048 66556 99834 133112 199668 387451 399336 774902 1162353 1549804 2324706 2712157 3099608 4649412 5424314 8136471 9298824 10848628 16272942 21697256 32545884 65091768