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21045528 = 2333731449
BaseRepresentation
bin101000001001…
…0000100011000
31110121020001000
41100102010120
520341424103
62031025000
7343612140
oct120220430
943536030
1021045528
11109748a9
12706b160
13448b29a
142b1b920
151caaaa3
hex1412118

21045528 has 128 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 5806080.

The previous prime is 21045527. The next prime is 21045539. The reversal of 21045528 is 82554012.

It is a happy number.

21045528 is a `hidden beast` number, since 2 + 104 + 552 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21045527) 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 31 ways as a sum of consecutive naturals, for example, 46648 + ... + 47096.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 221045528 is an apocalyptic number.

21045528 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 21045528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560000).

21045528 is an abundant number, since it is smaller than the sum of its proper divisors (48074472).

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

21045528 is a wasteful number, since it uses less digits than its factorization.

21045528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 21045528 is about 4587.5405175322. The cubic root of 21045528 is about 276.0916519812.

The spelling of 21045528 in words is "twenty-one million, forty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 449 504 558 651 744 756 837 868 898 1116 1302 1347 1512 1674 1736 1796 1953 2232 2604 2694 3143 3348 3592 3906 4041 5208 5388 5859 6286 6696 7812 8082 9429 10776 11718 12123 12572 13919 15624 16164 18858 23436 24246 25144 27838 28287 32328 37716 41757 46872 48492 55676 56574 75432 83514 84861 96984 97433 111352 113148 125271 167028 169722 194866 226296 250542 292299 334056 339444 375813 389732 501084 584598 678888 751626 779464 876897 1002168 1169196 1503252 1753794 2338392 2630691 3006504 3507588 5261382 7015176 10522764 21045528