Search a number
-
+
14605136 = 2472131433
BaseRepresentation
bin110111101101…
…101101010000
31000111000110222
4313231231100
512214331021
61241012212
7235066400
oct67555520
930430428
1014605136
118276067
124a84068
1330449c0
141d22800
1514376ab
hexdedb50

14605136 has 60 divisors (see below), whose sum is σ = 35474292. Its totient is φ = 5773824.

The previous prime is 14605133. The next prime is 14605153. The reversal of 14605136 is 63150641.

It can be written as a sum of positive squares in 2 ways, for example, as 7075600 + 7529536 = 2660^2 + 2744^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14605133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9476 + ... + 10908.

Almost surely, 214605136 is an apocalyptic number.

14605136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14605136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737146).

14605136 is an abundant number, since it is smaller than the sum of its proper divisors (20869156).

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

14605136 is a wasteful number, since it uses less digits than its factorization.

14605136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 14605136 is about 3821.6666521297. Note that the first 4 decimals coincide. The cubic root of 14605136 is about 244.4378950189.

Adding to 14605136 its reverse (63150641), we get a palindrome (77755777).

It can be divided in two parts, 14605 and 136, that added together give a palindrome (14741).

The spelling of 14605136 in words is "fourteen million, six hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1433 1456 2548 2866 5096 5732 10031 10192 11464 18629 20062 22928 37258 40124 70217 74516 80248 130403 140434 149032 160496 260806 280868 298064 521612 561736 912821 1043224 1123472 1825642 2086448 3651284 7302568 14605136