Search a number
-
+
21384846 = 2327433947
BaseRepresentation
bin101000110010…
…0111010001110
31111020110111100
41101210322032
520433303341
62042203530
7346524330
oct121447216
944213440
1021384846
111108682a
1271b35a6
134579872
142ba9450
151d263b6
hex1464e8e

21384846 has 48 divisors (see below), whose sum is σ = 54198144. Its totient is φ = 5966352.

The previous prime is 21384841. The next prime is 21384877. The reversal of 21384846 is 64848312.

It is a self number, because there is not a number n which added to its sum of digits gives 21384846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21384841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3445 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (1129128).

Almost surely, 221384846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21384846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27099072).

21384846 is an abundant number, since it is smaller than the sum of its proper divisors (32813298).

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

21384846 is a wasteful number, since it uses less digits than its factorization.

21384846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 4002 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21384846 is about 4624.3752010407. The cubic root of 21384846 is about 277.5675608572.

The spelling of 21384846 in words is "twenty-one million, three hundred eighty-four thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 3947 5418 7894 11841 23682 27629 35523 55258 71046 82887 165774 169721 248661 339442 497322 509163 1018326 1188047 1527489 2376094 3054978 3564141 7128282 10692423 21384846