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7006428 = 223211131361
BaseRepresentation
bin11010101110100011011100
3111011222000100
4122232203130
53243201203
6410101100
7113360622
oct32564334
914158010
107006428
113a56040
12241a790
1315b4120
14d05512
15935ea3
hex6ae8dc

7006428 has 72 divisors (see below), whose sum is σ = 20822256. Its totient is φ = 1958400.

The previous prime is 7006423. The next prime is 7006451. The reversal of 7006428 is 8246007.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7006423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4468 + ... + 5828.

It is an arithmetic number, because the mean of its divisors is an integer number (289198).

Almost surely, 27006428 is an apocalyptic number.

7006428 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7006428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411128).

7006428 is an abundant number, since it is smaller than the sum of its proper divisors (13815828).

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

7006428 is a wasteful number, since it uses less digits than its factorization.

7006428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7006428 is about 2646.9658101305. The cubic root of 7006428 is about 191.3516542759.

The spelling of 7006428 in words is "seven million, six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1361 1716 2574 2722 4083 5148 5444 8166 12249 14971 16332 17693 24498 29942 35386 44913 48996 53079 59884 70772 89826 106158 134739 159237 179652 194623 212316 269478 318474 389246 538956 583869 636948 778492 1167738 1751607 2335476 3503214 7006428