Search a number
-
+
4132134 = 234231109
BaseRepresentation
bin1111110000110100100110
321202221020000
433300310212
52024212014
6224322130
750060016
oct17606446
97687200
104132134
112372596
121473346
13b18a66
14797c46
15569509
hex3f0d26

4132134 has 40 divisors (see below), whose sum is σ = 9670320. Its totient is φ = 1316304.

The previous prime is 4132097. The next prime is 4132151. The reversal of 4132134 is 4312314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3172 + ... + 4280.

It is an arithmetic number, because the mean of its divisors is an integer number (241758).

Almost surely, 24132134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835160).

4132134 is an abundant number, since it is smaller than the sum of its proper divisors (5538186).

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

4132134 is a wasteful number, since it uses less digits than its factorization.

4132134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4132134 is about 2032.7651118612. The cubic root of 4132134 is about 160.4691179993.

Adding to 4132134 its reverse (4312314), we get a palindrome (8444448).

The spelling of 4132134 in words is "four million, one hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1109 1242 1863 2218 3327 3726 6654 9981 19962 25507 29943 51014 59886 76521 89829 153042 179658 229563 459126 688689 1377378 2066067 4132134