Search a number
-
+
4072134 = 231127179
BaseRepresentation
bin1111100010001011000110
321122212220210
433202023012
52020302014
6223140250
746420053
oct17421306
97585823
104072134
112331500
121444686
13ac7661
1478002a
15556859
hex3e22c6

4072134 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1201200.

The previous prime is 4072097. The next prime is 4072139. The reversal of 4072134 is 4312704.

4072134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4072134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072139) 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 23 ways as a sum of consecutive naturals, for example, 51507 + ... + 51585.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 24072134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

4072134 is an abundant number, since it is smaller than the sum of its proper divisors (5120826).

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

4072134 is a wasteful number, since it uses less digits than its factorization.

4072134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4072134 is about 2017.9529231377. The cubic root of 4072134 is about 159.6886392753.

Adding to 4072134 its reverse (4312704), we get a palindrome (8384838).

It can be divided in two parts, 40721 and 34, that added together give a triangular number (40755 = T285).

The spelling of 4072134 in words is "four million, seventy-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 71 79 121 142 158 213 237 242 363 426 474 726 781 869 1562 1738 2343 2607 4686 5214 5609 8591 9559 11218 16827 17182 19118 25773 28677 33654 51546 57354 61699 123398 185097 370194 678689 1357378 2036067 4072134