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20812350 = 2352132821
BaseRepresentation
bin100111101100…
…1001000111110
31110011101011210
41033121020332
520311443400
62022025250
7341621256
oct117311076
943141153
1020812350
1110825699
126b78226
134409100
142a9a966
151c61950
hex13d923e

20812350 has 72 divisors (see below), whose sum is σ = 55958472. Its totient is φ = 5116800.

The previous prime is 20812303. The next prime is 20812357. The reversal of 20812350 is 5321802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20812357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24940 + ... + 25760.

It is an arithmetic number, because the mean of its divisors is an integer number (777201).

Almost surely, 220812350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20812350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27979236).

20812350 is an abundant number, since it is smaller than the sum of its proper divisors (35146122).

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

20812350 is a wasteful number, since it uses less digits than its factorization.

20812350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20812350 is about 4562.0554577953. The cubic root of 20812350 is about 275.0681924551.

The spelling of 20812350 in words is "twenty million, eight hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 821 845 975 1014 1642 1690 1950 2463 2535 4105 4225 4926 5070 8210 8450 10673 12315 12675 20525 21346 24630 25350 32019 41050 53365 61575 64038 106730 123150 138749 160095 266825 277498 320190 416247 533650 693745 800475 832494 1387490 1600950 2081235 3468725 4162470 6937450 10406175 20812350