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21115456 = 26372241
BaseRepresentation
bin101000010001…
…1001001000000
31110201202221221
41100203021000
520401143311
62032324424
7344323045
oct120431100
943652857
1021115456
1110a1239a
1270a3714
1344b406b
142b391cc
151cc1671
hex1423240

21115456 has 42 divisors (see below), whose sum is σ = 43242738. Its totient is φ = 10229760.

The previous prime is 21115453. The next prime is 21115511. The reversal of 21115456 is 65451112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14561856 + 6553600 = 3816^2 + 2560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21115456.

It is not an unprimeable number, because it can be changed into a prime (21115453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87496 + ... + 87736.

It is an arithmetic number, because the mean of its divisors is an integer number (1029589).

Almost surely, 221115456 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 21115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621369).

21115456 is an abundant number, since it is smaller than the sum of its proper divisors (22127282).

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

21115456 is an equidigital number, since it uses as much as digits as its factorization.

21115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 280 counting only the distinct ones).

The product of its digits is 1200, while the sum is 25.

The square root of 21115456 is about 4595.1557100930. The cubic root of 21115456 is about 276.3971039382.

Adding to 21115456 its reverse (65451112), we get a palindrome (86566568).

The spelling of 21115456 in words is "twenty-one million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 241 296 482 592 964 1184 1369 1928 2368 2738 3856 5476 7712 8917 10952 15424 17834 21904 35668 43808 71336 87616 142672 285344 329929 570688 659858 1319716 2639432 5278864 10557728 21115456