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21232128 = 29323601
BaseRepresentation
bin101000011111…
…1101000000000
31110221201000010
41100333220000
520413412003
62035024520
7345320151
oct120775000
943851003
1021232128
1110a92015
12713b140
1345251b8
142b69928
151ce6003
hex143fa00

21232128 has 80 divisors (see below), whose sum is σ = 59121216. Its totient is φ = 6758400.

The previous prime is 21232121. The next prime is 21232157. The reversal of 21232128 is 82123212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (21232121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35028 + ... + 35628.

Almost surely, 221232128 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 21232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29560608).

21232128 is an abundant number, since it is smaller than the sum of its proper divisors (37889088).

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

21232128 is an equidigital number, since it uses as much as digits as its factorization.

21232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 21232128 is about 4607.8333303191. The cubic root of 21232128 is about 276.9052402567.

The spelling of 21232128 in words is "twenty-one million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 601 736 768 1104 1202 1472 1536 1803 2208 2404 2944 3606 4416 4808 5888 7212 8832 9616 11776 13823 14424 17664 19232 27646 28848 35328 38464 41469 55292 57696 76928 82938 110584 115392 153856 165876 221168 230784 307712 331752 442336 461568 663504 884672 923136 1327008 1769344 2654016 3538688 5308032 7077376 10616064 21232128