[go: up one dir, main page]

Search a number
-
+
21235424 = 257229467
BaseRepresentation
bin101000100000…
…0011011100000
31110221212112012
41101000123200
520414013144
62035052052
7345332600
oct121003340
943855465
1021235424
1110a94541
127141028
134526852
142b6ac00
151ce6e9e
hex14406e0

21235424 has 72 divisors (see below), whose sum is σ = 50417640. Its totient is φ = 8768256.

The previous prime is 21235367. The next prime is 21235427. The reversal of 21235424 is 42453212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21235424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21235427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45239 + ... + 45705.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 221235424 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 21235424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208820).

21235424 is an abundant number, since it is smaller than the sum of its proper divisors (29182216).

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

21235424 is a wasteful number, since it uses less digits than its factorization.

21235424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 21235424 is about 4608.1909682651. The cubic root of 21235424 is about 276.9195681100.

Adding to 21235424 its reverse (42453212), we get a palindrome (63688636).

The spelling of 21235424 in words is "twenty-one million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 467 784 812 928 934 1421 1568 1624 1868 2842 3248 3269 3736 5684 6496 6538 7472 11368 13076 13543 14944 22736 22883 26152 27086 45472 45766 52304 54172 91532 94801 104608 108344 183064 189602 216688 366128 379204 433376 663607 732256 758408 1327214 1516816 2654428 3033632 5308856 10617712 21235424