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20343528 = 2333194957
BaseRepresentation
bin100110110011…
…0101011101000
31102021120002000
41031212223220
520201443103
62004011000
7334626402
oct115465350
942246060
1020343528
1110535437
126990a60
1342a38ba
1429b7b72
151bbcaa3
hex1366ae8

20343528 has 64 divisors (see below), whose sum is σ = 59496000. Its totient is φ = 6422976.

The previous prime is 20343517. The next prime is 20343553. The reversal of 20343528 is 82534302.

20343528 is a `hidden beast` number, since 203 + 435 + 28 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 6582.

It is an arithmetic number, because the mean of its divisors is an integer number (929625).

Almost surely, 220343528 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 20343528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748000).

20343528 is an abundant number, since it is smaller than the sum of its proper divisors (39152472).

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

20343528 is a wasteful number, since it uses less digits than its factorization.

20343528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20343528 is about 4510.3800283346. The cubic root of 20343528 is about 272.9870782436.

The spelling of 20343528 in words is "twenty million, three hundred forty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 4957 9914 14871 19828 29742 39656 44613 59484 89226 94183 118968 133839 178452 188366 267678 282549 356904 376732 535356 565098 753464 847647 1070712 1130196 1695294 2260392 2542941 3390588 5085882 6781176 10171764 20343528