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6168040 = 235413761
BaseRepresentation
bin10111100001110111101000
3102121100221221
4113201313220
53034334130
6340111424
7103266424
oct27416750
912540857
106168040
11353315a
122095574
13137c638
14b67b84
1581c87a
hex5e1de8

6168040 has 32 divisors (see below), whose sum is σ = 14220360. Its totient is φ = 2406400.

The previous prime is 6168031. The next prime is 6168053. The reversal of 6168040 is 408616.

It can be written as a sum of positive squares in 4 ways, for example, as 3161284 + 3006756 = 1778^2 + 1734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6167996 and 6168014.

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 7 ways as a sum of consecutive naturals, for example, 241 + ... + 3520.

Almost surely, 26168040 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 6168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110180).

6168040 is an abundant number, since it is smaller than the sum of its proper divisors (8052320).

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

6168040 is a wasteful number, since it uses less digits than its factorization.

6168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6168040 is about 2483.5539051931. The cubic root of 6168040 is about 183.3928475286.

The spelling of 6168040 in words is "six million, one hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 3761 7522 15044 18805 30088 37610 75220 150440 154201 308402 616804 771005 1233608 1542010 3084020 6168040