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21328608 = 2537171867
BaseRepresentation
bin101000101011…
…1001011100000
31111010121100110
41101113023200
520430003413
62041051320
7346201350
oct121271340
944117313
1021328608
1111048554
127186b40
13455a0a2
142b92b60
151d148c3
hex14572e0

21328608 has 96 divisors (see below), whose sum is σ = 67785984. Its totient is φ = 5732352.

The previous prime is 21328603. The next prime is 21328609. The reversal of 21328608 is 80682312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21328603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10491 + ... + 12357.

It is an arithmetic number, because the mean of its divisors is an integer number (706104).

Almost surely, 221328608 is an apocalyptic number.

21328608 is a gapful number since it is divisible by the number (28) 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 21328608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892992).

21328608 is an abundant number, since it is smaller than the sum of its proper divisors (46457376).

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

21328608 is a wasteful number, since it uses less digits than its factorization.

21328608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21328608 is about 4618.2905928493. The cubic root of 21328608 is about 277.3240309585.

The spelling of 21328608 in words is "twenty-one million, three hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1867 1904 2856 3734 3808 5601 5712 7468 11202 11424 13069 14936 22404 26138 29872 31739 39207 44808 52276 59744 63478 78414 89616 95217 104552 126956 156828 179232 190434 209104 222173 253912 313656 380868 418208 444346 507824 627312 666519 761736 888692 1015648 1254624 1333038 1523472 1777384 2666076 3046944 3554768 5332152 7109536 10664304 21328608