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20852928 = 263241883
BaseRepresentation
bin100111110001…
…1000011000000
31110020102211200
41033203003000
520314243203
62022541200
7342150465
oct117430300
943212750
1020852928
1110853128
126b97800
134421715
142aab66c
151c6d9a3
hex13e30c0

20852928 has 84 divisors (see below), whose sum is σ = 61298328. Its totient is φ = 6773760.

The previous prime is 20852921. The next prime is 20852929. The reversal of 20852928 is 82925802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20852892 and 20852901.

It is not an unprimeable number, because it can be changed into a prime (20852921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23175 + ... + 24057.

It is an arithmetic number, because the mean of its divisors is an integer number (729742).

Almost surely, 220852928 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 20852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30649164).

20852928 is an abundant number, since it is smaller than the sum of its proper divisors (40445400).

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

20852928 is a wasteful number, since it uses less digits than its factorization.

20852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20852928 is about 4566.5006295850. The cubic root of 20852928 is about 275.2468439278.

The spelling of 20852928 in words is "twenty million, eight hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 883 984 1312 1476 1766 1968 2624 2649 2952 3532 3936 5298 5904 7064 7872 7947 10596 11808 14128 15894 21192 23616 28256 31788 36203 42384 56512 63576 72406 84768 108609 127152 144812 169536 217218 254304 289624 325827 434436 508608 579248 651654 868872 1158496 1303308 1737744 2316992 2606616 3475488 5213232 6950976 10426464 20852928