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21364672 = 267103463
BaseRepresentation
bin101000101111…
…1111111000000
31111012102211011
41101133333000
520432132142
62041530304
7346411450
oct121377700
944172734
1021364672
111107265a
1271a3994
134570624
142ba1d60
151d20417
hex145ffc0

21364672 has 56 divisors (see below), whose sum is σ = 49028096. Its totient is φ = 9047808.

The previous prime is 21364669. The next prime is 21364703. The reversal of 21364672 is 27646312.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45913 + ... + 46375.

Almost surely, 221364672 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 21364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514048).

21364672 is an abundant number, since it is smaller than the sum of its proper divisors (27663424).

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

21364672 is a wasteful number, since it uses less digits than its factorization.

21364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 21364672 is about 4622.1934187137. The cubic root of 21364672 is about 277.4802496562.

The spelling of 21364672 in words is "twenty-one million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 463 721 824 926 1442 1648 1852 2884 3241 3296 3704 5768 6482 6592 7408 11536 12964 14816 23072 25928 29632 46144 47689 51856 95378 103712 190756 207424 333823 381512 667646 763024 1335292 1526048 2670584 3052096 5341168 10682336 21364672