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21934638 = 235112373
BaseRepresentation
bin101001110101…
…1001000101110
31112021101200000
41103223020232
521103402023
62102045130
7354304245
oct123531056
945241600
1021934638
1111421900
1274197a6
13470cb9b
142cad95c
151dd4243
hex14eb22e

21934638 has 72 divisors (see below), whose sum is σ = 54318264. Its totient is φ = 6629040.

The previous prime is 21934613. The next prime is 21934667. The reversal of 21934638 is 83643912.

21934638 is a `hidden beast` number, since 2 + 19 + 3 + 4 + 638 = 666.

It is a super-2 number, since 2×219346382 = 962256688382088, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 58620 + ... + 58992.

Almost surely, 221934638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21934638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159132).

21934638 is an abundant number, since it is smaller than the sum of its proper divisors (32383626).

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

21934638 is a wasteful number, since it uses less digits than its factorization.

21934638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21934638 is about 4683.4429643159. The cubic root of 21934638 is about 279.9261625032.

The spelling of 21934638 in words is "twenty-one million, nine hundred thirty-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 373 486 594 726 746 891 1089 1119 1782 2178 2238 2673 3267 3357 4103 5346 6534 6714 8206 9801 10071 12309 19602 20142 24618 29403 30213 36927 45133 58806 60426 73854 90266 90639 110781 135399 181278 221562 270798 332343 406197 664686 812394 997029 1218591 1994058 2437182 3655773 7311546 10967319 21934638