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6840828 = 223397653
BaseRepresentation
bin11010000110000111111100
3110212112212000
4122012013330
53222401303
6402342300
7112101051
oct32060774
913775760
106840828
113952685
12235a990
131556937
14ca1028
15901da3
hex6861fc

6840828 has 48 divisors (see below), whose sum is σ = 17945760. Its totient is φ = 2253312.

The previous prime is 6840811. The next prime is 6840857. The reversal of 6840828 is 8280486.

6840828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 6840792 and 6840801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10150 + ... + 10802.

It is an arithmetic number, because the mean of its divisors is an integer number (373870).

Almost surely, 26840828 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 6840828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972880).

6840828 is an abundant number, since it is smaller than the sum of its proper divisors (11104932).

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

6840828 is a wasteful number, since it uses less digits than its factorization.

6840828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6840828 is about 2615.4976581905. The cubic root of 6840828 is about 189.8320584326.

The spelling of 6840828 in words is "six million, eight hundred forty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 653 873 1164 1306 1746 1959 2612 2619 3492 3918 5238 5877 7836 10476 11754 17631 23508 35262 63341 70524 126682 190023 253364 380046 570069 760092 1140138 1710207 2280276 3420414 6840828