Search a number
-
+
7035028 = 22721113251
BaseRepresentation
bin11010110101100010010100
3111020102020121
4122311202110
53300110103
6410441324
7113540200
oct32654224
914212217
107035028
113a75580
122433244
1315c4150
14d11b00
1593e6bd
hex6b5894

7035028 has 72 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 2520000.

The previous prime is 7035011. The next prime is 7035037. The reversal of 7035028 is 8205307.

It is a super-3 number, since 3×70350283 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7034993 and 7035011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27903 + ... + 28153.

It is an arithmetic number, because the mean of its divisors is an integer number (234612).

Almost surely, 27035028 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 7035028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032).

7035028 is an abundant number, since it is smaller than the sum of its proper divisors (9857036).

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

7035028 is a wasteful number, since it uses less digits than its factorization.

7035028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 7035028 is about 2652.3627202930. The cubic root of 7035028 is about 191.6116644529.

The spelling of 7035028 in words is "seven million, thirty-five thousand, twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 251 286 308 364 502 539 572 637 1001 1004 1078 1274 1757 2002 2156 2548 2761 3263 3514 4004 5522 6526 7007 7028 11044 12299 13052 14014 19327 22841 24598 28028 35893 38654 45682 49196 71786 77308 91364 135289 143572 159887 251251 270578 319774 502502 541156 639548 1005004 1758757 3517514 7035028