Search a number
-
+
21020112 = 2432612393
BaseRepresentation
bin101000000101…
…1110111010000
31110112221011200
41100023313100
520340120422
62030311200
7343445061
oct120136720
943487150
1021020112
11109577a3
127058500
13447c849
142b12568
151ca32ac
hex140bdd0

21020112 has 60 divisors (see below), whose sum is σ = 59816484. Its totient is φ = 6888960.

The previous prime is 21020093. The next prime is 21020117. The reversal of 21020112 is 21102012.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 20466576 = 744^2 + 4524^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21020094 and 21020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020117) 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 11 ways as a sum of consecutive naturals, for example, 7588 + ... + 9980.

Almost surely, 221020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29908242).

21020112 is an abundant number, since it is smaller than the sum of its proper divisors (38796372).

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

21020112 is a wasteful number, since it uses less digits than its factorization.

21020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21020112 is about 4584.7695689097. The cubic root of 21020112 is about 275.9804649059.

Adding to 21020112 its reverse (21102012), we get a palindrome (42122124).

The spelling of 21020112 in words is "twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2393 2928 4392 4786 7179 8784 9572 14358 19144 21537 28716 38288 43074 57432 86148 114864 145973 172296 291946 344592 437919 583892 875838 1167784 1313757 1751676 2335568 2627514 3503352 5255028 7006704 10510056 21020112