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6858040 = 235723499
BaseRepresentation
bin11010001010010100111000
3110220102110111
4122022110320
53223424130
6402554104
7112202200
oct32122470
913812414
106858040
113964602
122368934
131561717
14ca7400
1590702a
hex68a538

6858040 has 48 divisors (see below), whose sum is σ = 17955000. Its totient is φ = 2350656.

The previous prime is 6858017. The next prime is 6858043. The reversal of 6858040 is 408586.

6858040 = T229 + T230 + ... + T375.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6857993 and 6858011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6858043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 3709.

Almost surely, 26858040 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 6858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977500).

6858040 is an abundant number, since it is smaller than the sum of its proper divisors (11096960).

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

6858040 is a wasteful number, since it uses less digits than its factorization.

6858040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 6858040 is about 2618.7859782731. The cubic root of 6858040 is about 189.9911353205.

The spelling of 6858040 in words is "six million, eight hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3499 6998 13996 17495 24493 27992 34990 48986 69980 97972 122465 139960 171451 195944 244930 342902 489860 685804 857255 979720 1371608 1714510 3429020 6858040