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21019488 = 2537311009
BaseRepresentation
bin101000000101…
…1101101100000
31110112220022120
41100023231200
520340110423
62030304240
7343443210
oct120135540
943486276
1021019488
1110957286
127058080
13447c489
142b12240
151ca2ee3
hex140bb60

21019488 has 96 divisors (see below), whose sum is σ = 65157120. Its totient is φ = 5806080.

The previous prime is 21019487. The next prime is 21019541. The reversal of 21019488 is 88491012.

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 (21019487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20328 + ... + 21336.

It is an arithmetic number, because the mean of its divisors is an integer number (678720).

Almost surely, 221019488 is an apocalyptic number.

21019488 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 21019488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32578560).

21019488 is an abundant number, since it is smaller than the sum of its proper divisors (44137632).

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

21019488 is a wasteful number, since it uses less digits than its factorization.

21019488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 21019488 is about 4584.7015170020. The cubic root of 21019488 is about 275.9777339736.

The spelling of 21019488 in words is "twenty-one million, nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1009 1302 1488 1736 2018 2604 2976 3027 3472 4036 5208 6054 6944 7063 8072 10416 12108 14126 16144 20832 21189 24216 28252 31279 32288 42378 48432 56504 62558 84756 93837 96864 113008 125116 169512 187674 218953 226016 250232 339024 375348 437906 500464 656859 678048 750696 875812 1000928 1313718 1501392 1751624 2627436 3002784 3503248 5254872 7006496 10509744 21019488