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21684663 = 32711132983
BaseRepresentation
bin101001010111…
…0000110110111
31111210200202200
41102232012313
521022402123
62052435543
7352213410
oct122560667
944720680
1021684663
1111271010
127318bb3
134653180
142c46807
151d85143
hex14ae1b7

21684663 has 96 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 9918720.

The previous prime is 21684661. The next prime is 21684679. The reversal of 21684663 is 36648612.

It is not a de Polignac number, because 21684663 - 21 = 21684661 is a prime.

It is a super-4 number, since 4×216846634 (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21684661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261220 + ... + 261302.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 221684663 is an apocalyptic number.

21684663 is an abundant number, since it is smaller than the sum of its proper divisors (22344777).

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

21684663 is a wasteful number, since it uses less digits than its factorization.

21684663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 21684663 is about 4656.6793963081. The cubic root of 21684663 is about 278.8587175383.

The spelling of 21684663 in words is "twenty-one million, six hundred eighty-four thousand, six hundred sixty-three".

Divisors: 1 3 7 9 11 13 21 29 33 39 63 77 83 87 91 99 117 143 203 231 249 261 273 319 377 429 581 609 693 747 819 913 957 1001 1079 1131 1287 1743 1827 2233 2407 2639 2739 2871 3003 3237 3393 4147 5229 6391 6699 7221 7553 7917 8217 9009 9711 11869 12441 16849 19173 20097 21663 22659 23751 26477 29029 31291 35607 37323 50547 57519 67977 79431 83083 87087 93873 106821 151641 185339 219037 238293 249249 261261 281619 344201 556017 657111 747747 1032603 1668051 1971333 2409407 3097809 7228221 21684663