Search a number
-
+
5106204 = 2232296773
BaseRepresentation
bin10011011110101000011100
3100121102101200
4103132220130
52301344304
6301235500
761254615
oct23365034
910542350
105106204
112978404
121862b90
13109a22c
1496cc0c
156ace39
hex4dea1c

5106204 has 72 divisors (see below), whose sum is σ = 13737360. Its totient is φ = 1596672.

The previous prime is 5106203. The next prime is 5106217. The reversal of 5106204 is 4026015.

It is a happy number.

5106204 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69912 + ... + 69984.

Almost surely, 25106204 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 5106204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868680).

5106204 is an abundant number, since it is smaller than the sum of its proper divisors (8631156).

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

5106204 is a wasteful number, since it uses less digits than its factorization.

5106204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5106204 is about 2259.6911293360. The cubic root of 5106204 is about 172.1998308423.

The spelling of 5106204 in words is "five million, one hundred six thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 73 87 116 134 146 174 201 219 261 268 292 348 402 438 522 603 657 804 876 1044 1206 1314 1943 2117 2412 2628 3886 4234 4891 5829 6351 7772 8468 9782 11658 12702 14673 17487 19053 19564 23316 25404 29346 34974 38106 44019 58692 69948 76212 88038 141839 176076 283678 425517 567356 851034 1276551 1702068 2553102 5106204