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20186928 = 243383563
BaseRepresentation
bin100110100000…
…0011100110000
31101222121021000
41031000130300
520131440203
62000402000
7333405006
oct115003460
941877230
1020186928
1110438813
126916300
13424a538
142976a76
151b8b4a3
hex1340730

20186928 has 80 divisors (see below), whose sum is σ = 58746240. Its totient is φ = 6636096.

The previous prime is 20186927. The next prime is 20186951. The reversal of 20186928 is 82968102.

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 = 20186892 and 20186901.

It is not an unprimeable number, because it can be changed into a prime (20186927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35575 + ... + 36137.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 220186928 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 20186928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29373120).

20186928 is an abundant number, since it is smaller than the sum of its proper divisors (38559312).

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

20186928 is a wasteful number, since it uses less digits than its factorization.

20186928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20186928 is about 4492.9865345892. The cubic root of 20186928 is about 272.2848083658.

The spelling of 20186928 in words is "twenty million, one hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 563 664 747 996 1126 1328 1494 1689 1992 2241 2252 2988 3378 3984 4482 4504 5067 5976 6756 8964 9008 10134 11952 13512 15201 17928 20268 27024 30402 35856 40536 46729 60804 81072 93458 121608 140187 186916 243216 280374 373832 420561 560748 747664 841122 1121496 1261683 1682244 2242992 2523366 3364488 5046732 6728976 10093464 20186928