Search a number
-
+
11265324 = 2237413271
BaseRepresentation
bin101010111110…
…010100101100
3210012100010020
4222332110230
510340442244
61041242140
7164516340
oct52762454
923170106
1011265324
1163a4894
123933350
132445795
1416d3620
15ec7d19
hexabe52c

11265324 has 48 divisors (see below), whose sum is σ = 30782976. Its totient is φ = 3139200.

The previous prime is 11265323. The next prime is 11265337. The reversal of 11265324 is 42356211.

It is a junction number, because it is equal to n+sod(n) for n = 11265294 and 11265303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265323) 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 15 ways as a sum of consecutive naturals, for example, 1809 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (641312).

Almost surely, 211265324 is an apocalyptic number.

11265324 is a gapful number since it is divisible by the number (14) 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 11265324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391488).

11265324 is an abundant number, since it is smaller than the sum of its proper divisors (19517652).

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

11265324 is a wasteful number, since it uses less digits than its factorization.

11265324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3324 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 11265324 is about 3356.3855559217. The cubic root of 11265324 is about 224.1719290157.

The spelling of 11265324 in words is "eleven million, two hundred sixty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3271 3444 6542 9813 13084 19626 22897 39252 45794 68691 91588 134111 137382 268222 274764 402333 536444 804666 938777 1609332 1877554 2816331 3755108 5632662 11265324