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21328528 = 241341261
BaseRepresentation
bin101000101011…
…1001010010000
31111010121020111
41101113022100
520430003103
62041051104
7346201204
oct121271220
944117214
1021328528
1111048491
127186a94
13455a040
142b92b04
151d1486d
hex1457290

21328528 has 60 divisors (see below), whose sum is σ = 46362484. Its totient is φ = 9446400.

The previous prime is 21328501. The next prime is 21328537. The reversal of 21328528 is 82582312.

It can be written as a sum of positive squares in 6 ways, for example, as 16257024 + 5071504 = 4032^2 + 2252^2 .

It is a super-2 number, since 2×213285282 = 909812213293568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21328528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349618 + ... + 349678.

Almost surely, 221328528 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 21328528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181242).

21328528 is an abundant number, since it is smaller than the sum of its proper divisors (25033956).

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

21328528 is a wasteful number, since it uses less digits than its factorization.

21328528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 21328528 is about 4618.2819316278. The cubic root of 21328528 is about 277.3236842263.

It can be divided in two parts, 2132 and 8528, that multiplied together give a square (18181696 = 42642).

The spelling of 21328528 in words is "twenty-one million, three hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 61 82 104 122 164 208 244 328 488 533 656 793 976 1066 1586 1681 2132 2501 3172 3362 4264 5002 6344 6724 8528 10004 12688 13448 20008 21853 26896 32513 40016 43706 65026 87412 102541 130052 174824 205082 260104 349648 410164 520208 820328 1333033 1640656 2666066 5332132 10664264 21328528