Search a number
-
+
4688130 = 23531712
BaseRepresentation
bin10001111000100100000010
322211011220110
4101320210002
52200010010
6244252150
754564006
oct21704402
98734813
104688130
112712297
1216a1056
13c81b55
148a0706
15629120
hex478902

4688130 has 48 divisors (see below), whose sum is σ = 11780352. Its totient is φ = 1192800.

The previous prime is 4688087. The next prime is 4688137. The reversal of 4688130 is 318864.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4688137) 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, 65995 + ... + 66065.

It is an arithmetic number, because the mean of its divisors is an integer number (245424).

Almost surely, 24688130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890176).

4688130 is an abundant number, since it is smaller than the sum of its proper divisors (7092222).

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

4688130 is a wasteful number, since it uses less digits than its factorization.

4688130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4688130 is about 2165.2089968407. The cubic root of 4688130 is about 167.3657348337.

The spelling of 4688130 in words is "four million, six hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 710 930 1065 2130 2201 4402 5041 6603 10082 11005 13206 15123 22010 25205 30246 33015 50410 66030 75615 151230 156271 312542 468813 781355 937626 1562710 2344065 4688130