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21089772 = 223211192803
BaseRepresentation
bin101000001110…
…0110111101100
31110200110201200
41100130313230
520344333042
62032005500
7344155134
oct120346754
943613650
1021089772
11109a5070
127090890
1344a5472
142b2dac4
151cb8c4c
hex141cdec

21089772 has 72 divisors (see below), whose sum is σ = 61239360. Its totient is φ = 6052320.

The previous prime is 21089771. The next prime is 21089777. The reversal of 21089772 is 27798012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21089771) 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 23 ways as a sum of consecutive naturals, for example, 6123 + ... + 8925.

Almost surely, 221089772 is an apocalyptic number.

21089772 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 21089772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30619680).

21089772 is an abundant number, since it is smaller than the sum of its proper divisors (40149588).

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

21089772 is a wasteful number, since it uses less digits than its factorization.

21089772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 21089772 is about 4592.3601775122. The cubic root of 21089772 is about 276.2849923256.

The spelling of 21089772 in words is "twenty-one million, eighty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 2803 3762 5606 7524 8409 11212 16818 25227 30833 33636 50454 53257 61666 92499 100908 106514 123332 159771 184998 213028 277497 319542 369996 479313 554994 585827 639084 958626 1109988 1171654 1757481 1917252 2343308 3514962 5272443 7029924 10544886 21089772