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21250152 = 23327113833
BaseRepresentation
bin101000100010…
…0000001101000
31110222121201200
41101010001220
520420001102
62035244200
7345423540
oct121040150
943877650
1021250152
1110aa4610
127149660
134530471
142b72320
151ceb51c
hex1444068

21250152 has 96 divisors (see below), whose sum is σ = 71772480. Its totient is φ = 5518080.

The previous prime is 21250139. The next prime is 21250171. The reversal of 21250152 is 25105212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3628 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (747630).

Almost surely, 221250152 is an apocalyptic number.

21250152 is a gapful number since it is divisible by the number (22) 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 21250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35886240).

21250152 is an abundant number, since it is smaller than the sum of its proper divisors (50522328).

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

21250152 is a wasteful number, since it uses less digits than its factorization.

21250152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 21250152 is about 4609.7887153318. The cubic root of 21250152 is about 276.9835732503.

Adding to 21250152 its reverse (25105212), we get a palindrome (46355364).

The spelling of 21250152 in words is "twenty-one million, two hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 3833 5544 7666 11499 15332 22998 26831 30664 34497 42163 45996 53662 68994 80493 84326 91992 107324 126489 137988 160986 168652 214648 241479 252978 275976 295141 321972 337304 379467 482958 505956 590282 643944 758934 885423 965916 1011912 1180564 1517868 1770846 1931832 2361128 2656269 3035736 3541692 5312538 7083384 10625076 21250152