Search a number
-
+
7028100 = 22335219137
BaseRepresentation
bin11010110011110110000100
3111020001202000
4122303312010
53244344400
6410345300
7113511042
oct32636604
914201660
107028100
113a70352
12242b230
1315c0c51
14d0d392
1593c600
hex6b3d84

7028100 has 144 divisors (see below), whose sum is σ = 23956800. Its totient is φ = 1762560.

The previous prime is 7028093. The next prime is 7028101. The reversal of 7028100 is 18207.

7028100 is nontrivially palindromic in base 13.

7028100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×70281002 = 98788379220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7028101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51232 + ... + 51368.

Almost surely, 27028100 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 7028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978400).

7028100 is an abundant number, since it is smaller than the sum of its proper divisors (16928700).

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

7028100 is a wasteful number, since it uses less digits than its factorization.

7028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7028100 is about 2651.0563932138. The cubic root of 7028100 is about 191.5487449396.

The spelling of 7028100 in words is "seven million, twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 137 150 171 180 190 225 228 270 274 285 300 342 380 411 450 475 513 540 548 570 675 684 685 822 855 900 950 1026 1140 1233 1350 1370 1425 1644 1710 1900 2052 2055 2466 2565 2603 2700 2740 2850 3420 3425 3699 4110 4275 4932 5130 5206 5700 6165 6850 7398 7809 8220 8550 10260 10275 10412 12330 12825 13015 13700 14796 15618 17100 18495 20550 23427 24660 25650 26030 30825 31236 36990 39045 41100 46854 51300 52060 61650 65075 70281 73980 78090 92475 93708 117135 123300 130150 140562 156180 184950 195225 234270 260300 281124 351405 369900 390450 468540 585675 702810 780900 1171350 1405620 1757025 2342700 3514050 7028100