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21426664 = 2371771317
BaseRepresentation
bin101000110111…
…1000111101000
31111022120212011
41101233013220
520441123124
62043125304
7350060260
oct121570750
944276764
1021426664
1111105196
127213834
1345928cc
142bba7a0
151d33994
hex146f1e8

21426664 has 64 divisors (see below), whose sum is σ = 49455360. Its totient is φ = 8494080.

The previous prime is 21426659. The next prime is 21426683. The reversal of 21426664 is 46662412.

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 15 ways as a sum of consecutive naturals, for example, 67434 + ... + 67750.

It is an arithmetic number, because the mean of its divisors is an integer number (772740).

Almost surely, 221426664 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 21426664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24727680).

21426664 is an abundant number, since it is smaller than the sum of its proper divisors (28028696).

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

21426664 is a wasteful number, since it uses less digits than its factorization.

21426664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 21426664 is about 4628.8944684449. The cubic root of 21426664 is about 277.7483705521.

The spelling of 21426664 in words is "twenty-one million, four hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 71 119 136 142 238 284 317 476 497 568 634 952 994 1207 1268 1988 2219 2414 2536 3976 4438 4828 5389 8449 8876 9656 10778 16898 17752 21556 22507 33796 37723 43112 45014 67592 75446 90028 150892 157549 180056 301784 315098 382619 630196 765238 1260392 1530476 2678333 3060952 5356666 10713332 21426664