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6628068 = 22362273
BaseRepresentation
bin11001010010001011100100
3110110202000000
4121102023210
53144044233
6354021300
7110223546
oct31221344
913422000
106628068
113817847
122277830
1314b0b45
14c47696
158add13
hex6522e4

6628068 has 42 divisors (see below), whose sum is σ = 17398374. Its totient is φ = 2208384.

The previous prime is 6628057. The next prime is 6628073. The reversal of 6628068 is 8608266.

It can be written as a sum of positive squares in only one way, i.e., 6441444 + 186624 = 2538^2 + 432^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1780 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (414247).

Almost surely, 26628068 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 6628068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8699187).

6628068 is an abundant number, since it is smaller than the sum of its proper divisors (10770306).

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

6628068 is a wasteful number, since it uses less digits than its factorization.

6628068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6628068 is about 2574.5034472690. The cubic root of 6628068 is about 187.8432751481.

The spelling of 6628068 in words is "six million, six hundred twenty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2273 2916 4546 6819 9092 13638 20457 27276 40914 61371 81828 122742 184113 245484 368226 552339 736452 1104678 1657017 2209356 3314034 6628068