Search a number
-
+
11264436 = 22321571993
BaseRepresentation
bin101010111110…
…000110110100
3210012021220100
4222332012310
510340430221
61041234100
7164513631
oct52760664
923167810
1011264436
1163a4157
123932930
132445261
1416d3188
15ec7926
hexabe1b4

11264436 has 36 divisors (see below), whose sum is σ = 28669732. Its totient is φ = 3729024.

The previous prime is 11264423. The next prime is 11264437. The reversal of 11264436 is 63446211.

11264436 is a `hidden beast` number, since 1 + 12 + 644 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5788836 + 5475600 = 2406^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264437) 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 11 ways as a sum of consecutive naturals, for example, 4656 + ... + 6648.

Almost surely, 211264436 is an apocalyptic number.

It is an amenable number.

11264436 is an abundant number, since it is smaller than the sum of its proper divisors (17405296).

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

11264436 is a wasteful number, since it uses less digits than its factorization.

11264436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2155 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 11264436 is about 3356.2532681548. The cubic root of 11264436 is about 224.1660386716.

The spelling of 11264436 in words is "eleven million, two hundred sixty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 1993 2826 3986 5652 5979 7972 11958 17937 23916 35874 71748 312901 625802 938703 1251604 1877406 2816109 3754812 5632218 11264436