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21682332 = 22327139619
BaseRepresentation
bin101001010110…
…1100010011100
31111210120120100
41102231202130
521022313312
62052421100
7352203540
oct122554234
944716510
1021682332
111126a291
127317790
1346520a9
142c45a20
151d845dc
hex14ad89c

21682332 has 72 divisors (see below), whose sum is σ = 63190400. Its totient is φ = 6140448.

The previous prime is 21682321. The next prime is 21682337. The reversal of 21682332 is 23328612.

It is a junction number, because it is equal to n+sod(n) for n = 21682296 and 21682305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21682337) 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, 34719 + ... + 35337.

Almost surely, 221682332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21682332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31595200).

21682332 is an abundant number, since it is smaller than the sum of its proper divisors (41508068).

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

21682332 is a wasteful number, since it uses less digits than its factorization.

21682332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 770 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21682332 is about 4656.4291039379. The cubic root of 21682332 is about 278.8487251769.

The spelling of 21682332 in words is "twenty-one million, six hundred eighty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 139 252 278 417 556 619 834 973 1238 1251 1668 1857 1946 2476 2502 2919 3714 3892 4333 5004 5571 5838 7428 8666 8757 11142 11676 12999 17332 17514 22284 25998 35028 38997 51996 77994 86041 155988 172082 258123 344164 516246 602287 774369 1032492 1204574 1548738 1806861 2409148 3097476 3613722 5420583 7227444 10841166 21682332