Search a number
-
+
11345664 = 283111779
BaseRepresentation
bin101011010001…
…111100000000
3210100102022210
4223101330000
510401030124
61043102120
7165302511
oct53217400
923312283
1011345664
11644a190
123971940
132473215
141714a08
15ee1a29
hexad1f00

11345664 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 3194880.

The previous prime is 11345629. The next prime is 11345683. The reversal of 11345664 is 46654311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143577 + ... + 143655.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 211345664 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 11345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

11345664 is an abundant number, since it is smaller than the sum of its proper divisors (23974656).

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

11345664 is a wasteful number, since it uses less digits than its factorization.

11345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 11345664 is about 3368.3325251525. The cubic root of 11345664 is about 224.7035701290.

Adding to 11345664 its reverse (46654311), we get a palindrome (57999975).

The spelling of 11345664 in words is "eleven million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 79 88 96 102 128 132 136 158 176 187 192 204 237 256 264 272 316 352 374 384 408 474 528 544 561 632 704 748 768 816 869 948 1056 1088 1122 1264 1343 1408 1496 1632 1738 1896 2112 2176 2244 2528 2607 2686 2816 2992 3264 3476 3792 4029 4224 4352 4488 5056 5214 5372 5984 6528 6952 7584 8058 8448 8976 10112 10428 10744 11968 13056 13904 14773 15168 16116 17952 20224 20856 21488 23936 27808 29546 30336 32232 35904 41712 42976 44319 47872 55616 59092 60672 64464 71808 83424 85952 88638 111232 118184 128928 143616 166848 171904 177276 222464 236368 257856 333696 343808 354552 472736 515712 667392 709104 945472 1031424 1418208 1890944 2836416 3781888 5672832 11345664