Search a number
-
+
7270560 = 253551117
BaseRepresentation
bin11011101111000010100000
3111200101100000
4123233002200
53330124220
6415500000
7115540653
oct33570240
914611300
107270560
114116530
122527600
13167740b
14d7389a
15989390
hex6ef0a0

7270560 has 288 divisors, whose sum is σ = 29719872. Its totient is φ = 1658880.

The previous prime is 7270547. The next prime is 7270567. The reversal of 7270560 is 650727.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72705602 = 105722085427200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7270567) 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, 427672 + ... + 427688.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 27270560 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 7270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

7270560 is an abundant number, since it is smaller than the sum of its proper divisors (22449312).

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

7270560 is a wasteful number, since it uses less digits than its factorization.

7270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7270560 is about 2696.3975967947. The cubic root of 7270560 is about 193.7266138960.

The spelling of 7270560 in words is "seven million, two hundred seventy thousand, five hundred sixty".