Search a number
-
+
7253064 = 233571341
BaseRepresentation
bin11011101010110001001000
3111122111100000
4123222301020
53324044224
6415243000
7115435650
oct33526110
914574300
107253064
114104375
122519460
13166c470
14d6b360
159840c9
hex6eac48

7253064 has 192 divisors, whose sum is σ = 25683840. Its totient is φ = 1866240.

The previous prime is 7253063. The next prime is 7253089. The reversal of 7253064 is 4603527.

It is a happy number.

7253064 is a `hidden beast` number, since 72 + 530 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253063) 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 47 ways as a sum of consecutive naturals, for example, 176884 + ... + 176924.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 27253064 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 7253064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

7253064 is an abundant number, since it is smaller than the sum of its proper divisors (18430776).

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

7253064 is a wasteful number, since it uses less digits than its factorization.

7253064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

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

The square root of 7253064 is about 2693.1513139814. The cubic root of 7253064 is about 193.5710934006.

The spelling of 7253064 in words is "seven million, two hundred fifty-three thousand, sixty-four".