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6838780 = 2251329907
BaseRepresentation
bin11010000101100111111100
3110212110001011
4122011213330
53222320110
6402325004
7112062064
oct32054774
913773034
106838780
113951093
122359764
131555a20
14ca03a4
1590148a
hex6859fc

6838780 has 48 divisors (see below), whose sum is σ = 16017120. Its totient is φ = 2435328.

The previous prime is 6838739. The next prime is 6838801. The reversal of 6838780 is 878386.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7087 + ... + 7993.

It is an arithmetic number, because the mean of its divisors is an integer number (333690).

Almost surely, 26838780 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 6838780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008560).

6838780 is an abundant number, since it is smaller than the sum of its proper divisors (9178340).

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

6838780 is a wasteful number, since it uses less digits than its factorization.

6838780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 6838780 is about 2615.1061163937. The cubic root of 6838780 is about 189.8131126334.

The spelling of 6838780 in words is "six million, eight hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 907 1508 1814 1885 3628 3770 4535 7540 9070 11791 18140 23582 26303 47164 52606 58955 105212 117910 131515 235820 263030 341939 526060 683878 1367756 1709695 3419390 6838780