Search a number
-
+
20305950 = 2352783233
BaseRepresentation
bin100110101110…
…1100000011110
31102012122112020
41031131200132
520144242300
62003121010
7334412010
oct115354036
942178466
1020305950
111050a185
126973166
13428c772
1429a81b0
151bb18a0
hex135d81e

20305950 has 96 divisors (see below), whose sum is σ = 58496256. Its totient is φ = 4565760.

The previous prime is 20305931. The next prime is 20305951. The reversal of 20305950 is 5950302.

It is a self number, because there is not a number n which added to its sum of digits gives 20305950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305951) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 87034 + ... + 87266.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 220305950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20305950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

20305950 is an abundant number, since it is smaller than the sum of its proper divisors (38190306).

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

20305950 is a wasteful number, since it uses less digits than its factorization.

20305950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 20305950 is about 4506.2123784837. The cubic root of 20305950 is about 272.8188899267.

The spelling of 20305950 in words is "twenty million, three hundred five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 83 105 150 166 175 210 233 249 350 415 466 498 525 581 699 830 1050 1162 1165 1245 1398 1631 1743 2075 2330 2490 2905 3262 3486 3495 4150 4893 5810 5825 6225 6990 8155 8715 9786 11650 12450 14525 16310 17430 17475 19339 24465 29050 34950 38678 40775 43575 48930 58017 81550 87150 96695 116034 122325 135373 193390 244650 270746 290085 406119 483475 580170 676865 812238 966950 1353730 1450425 2030595 2900850 3384325 4061190 6768650 10152975 20305950