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21270528 = 21232577
BaseRepresentation
bin101000100100…
…1000000000000
31111000122200100
41101021000000
520421124103
62035522400
7345540126
oct121110000
944018610
1021270528
1111008954
127159400
134539816
142b79916
151d025a3
hex1449000

21270528 has 78 divisors (see below), whose sum is σ = 61547174. Its totient is φ = 7077888.

The previous prime is 21270527. The next prime is 21270533. The reversal of 21270528 is 82507212.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 36864 = 4608^2 + 192^2 .

It is a super-2 number, since 2×212705282 = 904870722797568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21270527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36576 + ... + 37152.

Almost surely, 221270528 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 21270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30773587).

21270528 is an abundant number, since it is smaller than the sum of its proper divisors (40276646).

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

21270528 is an equidigital number, since it uses as much as digits as its factorization.

21270528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 21270528 is about 4611.9982653943. The cubic root of 21270528 is about 277.0720748034.

The spelling of 21270528 in words is "twenty-one million, two hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 577 768 1024 1152 1154 1536 1731 2048 2304 2308 3072 3462 4096 4608 4616 5193 6144 6924 9216 9232 10386 12288 13848 18432 18464 20772 27696 36864 36928 41544 55392 73856 83088 110784 147712 166176 221568 295424 332352 443136 590848 664704 886272 1181696 1329408 1772544 2363392 2658816 3545088 5317632 7090176 10635264 21270528