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21006336 = 211313263
BaseRepresentation
bin101000000100…
…0100000000000
31110112020021110
41100020200000
520334200321
62030123320
7343356651
oct120104000
943466243
1021006336
111094840a
127050540
1344764b0
142b0b528
151c9e176
hex1408800

21006336 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6438912.

The previous prime is 21006329. The next prime is 21006341. The reversal of 21006336 is 63360012.

It is a tau number, because it is divible by the number of its divisors (96).

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, 79741 + ... + 80003.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 221006336 is an apocalyptic number.

21006336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

21006336 is an abundant number, since it is smaller than the sum of its proper divisors (39534144).

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

21006336 is a wasteful number, since it uses less digits than its factorization.

21006336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 21006336 is about 4583.2669570951. The cubic root of 21006336 is about 275.9201617426.

Adding to 21006336 its reverse (63360012), we get a palindrome (84366348).

The spelling of 21006336 in words is "twenty-one million, six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 263 312 384 416 512 526 624 768 789 832 1024 1052 1248 1536 1578 1664 2048 2104 2496 3072 3156 3328 3419 4208 4992 6144 6312 6656 6838 8416 9984 10257 12624 13312 13676 16832 19968 20514 25248 26624 27352 33664 39936 41028 50496 54704 67328 79872 82056 100992 109408 134656 164112 201984 218816 269312 328224 403968 437632 538624 656448 807936 875264 1312896 1615872 1750528 2625792 3501056 5251584 7002112 10503168 21006336