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21695868 = 22325383137
BaseRepresentation
bin101001011000…
…0110101111100
31111211021010200
41102300311330
521023231433
62053003500
7352261155
oct122606574
944737120
1021695868
1111279477
127323590
1346582bc
142c4a92c
151d88613
hex14b0d7c

21695868 has 72 divisors (see below), whose sum is σ = 56963088. Its totient is φ = 6958848.

The previous prime is 21695837. The next prime is 21695879. The reversal of 21695868 is 86859612.

21695868 is a `hidden beast` number, since 2 + 1 + 69 + 586 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 158296 + ... + 158432.

It is an arithmetic number, because the mean of its divisors is an integer number (791154).

Almost surely, 221695868 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 21695868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28481544).

21695868 is an abundant number, since it is smaller than the sum of its proper divisors (35267220).

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

21695868 is a wasteful number, since it uses less digits than its factorization.

21695868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 278 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 21695868 is about 4657.8823514554. The cubic root of 21695868 is about 278.9067403259.

The spelling of 21695868 in words is "twenty-one million, six hundred ninety-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 83 106 137 159 166 212 249 274 318 332 411 477 498 548 636 747 822 954 996 1233 1494 1644 1908 2466 2988 4399 4932 7261 8798 11371 13197 14522 17596 21783 22742 26394 29044 34113 39591 43566 45484 52788 65349 68226 79182 87132 102339 130698 136452 158364 204678 261396 409356 602663 1205326 1807989 2410652 3615978 5423967 7231956 10847934 21695868