Search a number
-
+
632061666 = 2321723312897
BaseRepresentation
bin100101101011000…
…111111011100010
31122001100001121100
4211223013323202
52243301433131
6142415135230
721443302245
oct4553077342
91561301540
10632061666
112a4867315
12157814516
13a0c430b2
145dd3125c
153a7527e6
hex25ac7ee2

632061666 has 96 divisors (see below), whose sum is σ = 1562416128. Its totient is φ = 183490560.

The previous prime is 632061653. The next prime is 632061673. The reversal of 632061666 is 666160236.

It is a self number, because there is not a number n which added to its sum of digits gives 632061666.

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 47 ways as a sum of consecutive naturals, for example, 216730 + ... + 219626.

It is an arithmetic number, because the mean of its divisors is an integer number (16275168).

Almost surely, 2632061666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632061666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781208064).

632061666 is an abundant number, since it is smaller than the sum of its proper divisors (930354462).

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

632061666 is a wasteful number, since it uses less digits than its factorization.

632061666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 632061666 is about 25140.8366209241. The cubic root of 632061666 is about 858.1959957808.

The spelling of 632061666 in words is "six hundred thirty-two million, sixty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 23 31 34 46 51 62 69 93 102 138 153 186 207 279 306 391 414 527 558 713 782 1054 1173 1426 1581 2139 2346 2897 3162 3519 4278 4743 5794 6417 7038 8691 9486 12121 12834 17382 24242 26073 36363 49249 52146 66631 72726 89807 98498 109089 133262 147747 179614 199893 218178 269421 295494 399786 443241 538842 599679 808263 886482 1132727 1199358 1526719 1616526 2065561 2265454 3053438 3398181 4131122 4580157 6196683 6796362 9160314 10194543 12393366 13740471 18590049 20389086 27480942 35114537 37180098 70229074 105343611 210687222 316030833 632061666