Search a number
-
+
7040516 = 2272172113
BaseRepresentation
bin11010110110111000000100
3111020200202212
4122312320010
53300244031
6410522552
7113562200
oct32667004
914220685
107040516
113a7970a
122436458
1315c67b2
14d13b00
1594112b
hex6b6e04

7040516 has 36 divisors (see below), whose sum is σ = 15182748. Its totient is φ = 2838528.

The previous prime is 7040513. The next prime is 7040521. The reversal of 7040516 is 6150407.

7040516 = T329 + T330 + ... + T426.

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 5080516 = 1400^2 + 2254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7040491 and 7040500.

It is not an unprimeable number, because it can be changed into a prime (7040513) 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 11 ways as a sum of consecutive naturals, for example, 2276 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (421743).

Almost surely, 27040516 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 7040516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591374).

7040516 is an abundant number, since it is smaller than the sum of its proper divisors (8142232).

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

7040516 is a wasteful number, since it uses less digits than its factorization.

7040516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 7040516 is about 2653.3970679112. The cubic root of 7040516 is about 191.6614766921.

The spelling of 7040516 in words is "seven million, forty thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 2113 3332 4226 8452 14791 29582 35921 59164 71842 103537 143684 207074 251447 414148 502894 1005788 1760129 3520258 7040516