Search a number
-
+
66293682 = 23713235279
BaseRepresentation
bin1111110011100…
…0111110110010
311121202001211120
43330320332302
5113432344212
610324523110
71433326020
oct374707662
9147661746
1066293682
113446a474
121a250496
1310971840
148b39710
155c4788c
hex3f38fb2

66293682 has 64 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 16720704.

The previous prime is 66293657. The next prime is 66293701. The reversal of 66293682 is 28639266.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9919 + ... + 15197.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 266293682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66293682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

66293682 is an abundant number, since it is smaller than the sum of its proper divisors (104017998).

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

66293682 is a wasteful number, since it uses less digits than its factorization.

66293682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327.

The product of its digits is 186624, while the sum is 42.

The square root of 66293682 is about 8142.0932198053. The cubic root of 66293682 is about 404.7225290420.

The spelling of 66293682 in words is "sixty-six million, two hundred ninety-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 5279 6279 10558 12558 15837 31674 36953 68627 73906 110859 121417 137254 205881 221718 242834 364251 411762 480389 728502 849919 960778 1441167 1578421 1699838 2549757 2882334 3156842 4735263 5099514 9470526 11048947 22097894 33146841 66293682