Search a number
-
+
6542730 = 2325139523
BaseRepresentation
bin11000111101010110001010
3110022101221100
4120331112022
53133331410
6352122230
7106420005
oct30752612
913271840
106542730
113769717
122236376
13148104c
14c2453c
158938c0
hex63d58a

6542730 has 48 divisors (see below), whose sum is σ = 17166240. Its totient is φ = 1728864.

The previous prime is 6542717. The next prime is 6542737. The reversal of 6542730 is 372456.

It is a happy number.

6542730 is a `hidden beast` number, since 654 + 2 + 7 + 3 + 0 = 666.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6542694 and 6542703.

It is not an unprimeable number, because it can be changed into a prime (6542737) 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, 12249 + ... + 12771.

It is an arithmetic number, because the mean of its divisors is an integer number (357630).

Almost surely, 26542730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6542730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583120).

6542730 is an abundant number, since it is smaller than the sum of its proper divisors (10623510).

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

6542730 is a wasteful number, since it uses less digits than its factorization.

6542730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6542730 is about 2557.8760720567. The cubic root of 6542730 is about 187.0336142114.

The spelling of 6542730 in words is "six million, five hundred forty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 523 695 834 1046 1251 1390 1569 2085 2502 2615 3138 4170 4707 5230 6255 7845 9414 12510 15690 23535 47070 72697 145394 218091 363485 436182 654273 726970 1090455 1308546 2180910 3271365 6542730