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11243664 = 2433171531
BaseRepresentation
bin101010111001…
…000010010000
3210011020102000
4222321002100
510334244124
61040554000
7164366235
oct52710220
923136360
1011243664
11638a593
123922900
132438973
1416c978c
15ec16c9
hexab9090

11243664 has 80 divisors (see below), whose sum is σ = 34194240. Its totient is φ = 3525120.

The previous prime is 11243663. The next prime is 11243719. The reversal of 11243664 is 46634211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (11243663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579 + ... + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (427428).

Almost surely, 211243664 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 11243664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097120).

11243664 is an abundant number, since it is smaller than the sum of its proper divisors (22950576).

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

11243664 is a wasteful number, since it uses less digits than its factorization.

11243664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

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

The square root of 11243664 is about 3353.1573181108. The cubic root of 11243664 is about 224.0281639757.

Adding to 11243664 its reverse (46634211), we get a palindrome (57877875).

The spelling of 11243664 in words is "eleven million, two hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1531 1836 2448 3062 3672 4593 6124 7344 9186 12248 13779 18372 24496 26027 27558 36744 41337 52054 55116 73488 78081 82674 104108 110232 156162 165348 208216 220464 234243 312324 330696 416432 468486 624648 661392 702729 936972 1249296 1405458 1873944 2810916 3747888 5621832 11243664