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20893000 = 2353171229
BaseRepresentation
bin100111110110…
…0110101001000
31110022110210211
41033230311020
520322034000
62023450504
7342405352
oct117546510
943273724
1020893000
1110880247
126bb6a34
134436a2b
142abc0d2
151c7a7ba
hex13ecd48

20893000 has 64 divisors (see below), whose sum is σ = 51807600. Its totient is φ = 7859200.

The previous prime is 20892979. The next prime is 20893001. The reversal of 20893000 is 39802.

It can be written as a sum of positive squares in 8 ways, for example, as 7918596 + 12974404 = 2814^2 + 3602^2 .

It is not an unprimeable number, because it can be changed into a prime (20893001) by changing a digit.

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, 16386 + ... + 17614.

Almost surely, 220893000 is an apocalyptic number.

20893000 is a gapful number since it is divisible by the number (20) 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 20893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25903800).

20893000 is an abundant number, since it is smaller than the sum of its proper divisors (30914600).

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

20893000 is a wasteful number, since it uses less digits than its factorization.

20893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 20893000 is about 4570.8861285313. The cubic root of 20893000 is about 275.4230403513.

The spelling of 20893000 in words is "twenty million, eight hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1229 1700 2125 2458 3400 4250 4916 6145 8500 9832 12290 17000 20893 24580 30725 41786 49160 61450 83572 104465 122900 153625 167144 208930 245800 307250 417860 522325 614500 835720 1044650 1229000 2089300 2611625 4178600 5223250 10446500 20893000