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21239936 = 271743227
BaseRepresentation
bin101000100000…
…1100010000000
31110222002201022
41101001202000
520414134221
62035125012
7345352004
oct121014200
943862638
1021239936
1110a97973
127143768
134528913
142b6c704
151ce84ab
hex1441880

21239936 has 64 divisors (see below), whose sum is σ = 46046880. Its totient is φ = 9719808.

The previous prime is 21239923. The next prime is 21239957. The reversal of 21239936 is 63993212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×212399364 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21239896 and 21239905.

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, 93455 + ... + 93681.

Almost surely, 221239936 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 21239936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023440).

21239936 is an abundant number, since it is smaller than the sum of its proper divisors (24806944).

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

21239936 is a wasteful number, since it uses less digits than its factorization.

21239936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 17496, while the sum is 35.

The square root of 21239936 is about 4608.6805053073. The cubic root of 21239936 is about 276.9391795638.

The spelling of 21239936 in words is "twenty-one million, two hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 227 272 344 454 544 688 731 908 1088 1376 1462 1816 2176 2752 2924 3632 3859 5504 5848 7264 7718 9761 11696 14528 15436 19522 23392 29056 30872 39044 46784 61744 78088 93568 123488 156176 165937 246976 312352 331874 493952 624704 663748 1249408 1327496 2654992 5309984 10619968 21239936