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4113460 = 2251321217
BaseRepresentation
bin1111101100010000110100
321201222121101
433230100310
52023112320
6224055444
746651411
oct17542064
97658541
104113460
11235a55a
121464584
13b10400
14791108
15563c0a
hex3ec434

4113460 has 36 divisors (see below), whose sum is σ = 9361548. Its totient is φ = 1517568.

The previous prime is 4113449. The next prime is 4113469. The reversal of 4113460 is 643114.

It is a happy number.

4113460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1106704 + 3006756 = 1052^2 + 1734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113469) 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, 2772 + ... + 3988.

It is an arithmetic number, because the mean of its divisors is an integer number (260043).

Almost surely, 24113460 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 4113460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680774).

4113460 is an abundant number, since it is smaller than the sum of its proper divisors (5248088).

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

4113460 is a wasteful number, since it uses less digits than its factorization.

4113460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4113460 is about 2028.1666598187. The cubic root of 4113460 is about 160.2270214804.

Adding to 4113460 its reverse (643114), we get a palindrome (4756574).

The spelling of 4113460 in words is "four million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1217 1690 2434 3380 4868 6085 12170 15821 24340 31642 63284 79105 158210 205673 316420 411346 822692 1028365 2056730 4113460