Search a number
-
+
21115424 = 2511223269
BaseRepresentation
bin101000010001…
…1001000100000
31110201202220202
41100203020200
520401143144
62032324332
7344323001
oct120431040
943652822
1021115424
1110a12370
1270a36a8
1344b4045
142b391a8
151cc164e
hex1423220

21115424 has 48 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 9519360.

The previous prime is 21115421. The next prime is 21115427. The reversal of 21115424 is 42451112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21115421) and next prime (21115427).

It is a super-2 number, since 2×211154242 = 891722261399552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21115396 and 21115405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21115421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 78362 + ... + 78630.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 221115424 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 21115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

21115424 is an abundant number, since it is smaller than the sum of its proper divisors (24607456).

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

21115424 is a wasteful number, since it uses less digits than its factorization.

21115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 21115424 is about 4595.1522281639. The cubic root of 21115424 is about 276.3969643136.

Adding to 21115424 its reverse (42451112), we get a palindrome (63566536).

The spelling of 21115424 in words is "twenty-one million, one hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 223 269 352 446 538 892 1076 1784 2152 2453 2959 3568 4304 4906 5918 7136 8608 9812 11836 19624 23672 39248 47344 59987 78496 94688 119974 239948 479896 659857 959792 1319714 1919584 2639428 5278856 10557712 21115424