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21195090 = 23257171979
BaseRepresentation
bin101000011011…
…0100101010010
31110212211012100
41100312211102
520411220330
62034141230
7345104160
oct120664522
943784170
1021195090
1110a67204
127121816
134511397
142b5a230
151cda060
hex1436952

21195090 has 96 divisors (see below), whose sum is σ = 66718080. Its totient is φ = 4557312.

The previous prime is 21195077. The next prime is 21195091. The reversal of 21195090 is 9059112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21195091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9721 + ... + 11699.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 221195090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21195090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359040).

21195090 is an abundant number, since it is smaller than the sum of its proper divisors (45522990).

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

21195090 is a wasteful number, since it uses less digits than its factorization.

21195090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 21195090 is about 4603.8125504847. The cubic root of 21195090 is about 276.7441324344.

The spelling of 21195090 in words is "twenty-one million, one hundred ninety-five thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 1979 2142 3570 3958 5355 5937 9895 10710 11874 13853 17811 19790 27706 29685 33643 35622 41559 59370 67286 69265 83118 89055 100929 124677 138530 168215 178110 201858 207795 235501 249354 302787 336430 415590 471002 504645 605574 623385 706503 1009290 1177505 1246770 1413006 1513935 2119509 2355010 3027870 3532515 4239018 7065030 10597545 21195090