Search a number
-
+
13693736 = 2372181193
BaseRepresentation
bin110100001111…
…001100101000
3221202201021102
4310033030220
512001144421
61205300532
7224252300
oct64171450
927681242
1013693736
117803341
124704748
132ab5c04
141b66600
15130760b
hexd0f328

13693736 has 48 divisors (see below), whose sum is σ = 30188340. Its totient is φ = 5806080.

The previous prime is 13693733. The next prime is 13693751. The reversal of 13693736 is 63739631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10824100 + 2869636 = 3290^2 + 1694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13693736.

It is not an unprimeable number, because it can be changed into a prime (13693733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70856 + ... + 71048.

Almost surely, 213693736 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 13693736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094170).

13693736 is an abundant number, since it is smaller than the sum of its proper divisors (16494604).

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

13693736 is a wasteful number, since it uses less digits than its factorization.

13693736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its digits is 61236, while the sum is 38.

The square root of 13693736 is about 3700.5048304252. The cubic root of 13693736 is about 239.2437771056.

The spelling of 13693736 in words is "thirteen million, six hundred ninety-three thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 193 196 362 386 392 724 772 1267 1351 1448 1544 2534 2702 5068 5404 8869 9457 10136 10808 17738 18914 34933 35476 37828 69866 70952 75656 139732 244531 279464 489062 978124 1711717 1956248 3423434 6846868 13693736