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13294944 = 2532135367
BaseRepresentation
bin110010101101…
…110101100000
3221000110020100
4302231311200
511400414234
61152542400
7221001525
oct62556540
927013210
1013294944
117560763
124551a00
1329a6540
141aa114c
151279399
hexcadd60

13294944 has 144 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 3953664.

The previous prime is 13294903. The next prime is 13294949. The reversal of 13294944 is 44949231.

13294944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13294899 and 13294908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13294949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198399 + ... + 198465.

It is an arithmetic number, because the mean of its divisors is an integer number (292383).

Almost surely, 213294944 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 13294944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).

13294944 is an abundant number, since it is smaller than the sum of its proper divisors (28808208).

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

13294944 is a wasteful number, since it uses less digits than its factorization.

13294944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13294944 is about 3646.2232515303. The cubic root of 13294944 is about 236.8984235973.

The spelling of 13294944 in words is "thirteen million, two hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 67 72 78 96 104 106 117 134 144 156 159 201 208 212 234 268 288 312 318 402 416 424 468 477 536 603 624 636 689 804 848 871 936 954 1072 1206 1248 1272 1378 1608 1696 1742 1872 1908 2067 2144 2412 2544 2613 2756 3216 3484 3551 3744 3816 4134 4824 5088 5226 5512 6201 6432 6968 7102 7632 7839 8268 9648 10452 10653 11024 12402 13936 14204 15264 15678 16536 19296 20904 21306 22048 24804 27872 28408 31356 31959 33072 41808 42612 46163 49608 56816 62712 63918 66144 83616 85224 92326 99216 113632 125424 127836 138489 170448 184652 198432 250848 255672 276978 340896 369304 415467 511344 553956 738608 830934 1022688 1107912 1477216 1661868 2215824 3323736 4431648 6647472 13294944