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6840042 = 2311372801
BaseRepresentation
bin11010000101111011101010
3110212111202220
4122011323222
53222340132
6402334510
7112065546
oct32057352
913774686
106840042
113952030
12235a436
131556481
14ca0a26
15901a2c
hex685eea

6840042 has 32 divisors (see below), whose sum is σ = 15332544. Its totient is φ = 2016000.

The previous prime is 6840017. The next prime is 6840049. The reversal of 6840042 is 2400486.

It is a junction number, because it is equal to n+sod(n) for n = 6839994 and 6840021.

It is not an unprimeable number, because it can be changed into a prime (6840049) by changing a digit.

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, 1042 + ... + 3842.

It is an arithmetic number, because the mean of its divisors is an integer number (479142).

Almost surely, 26840042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666272).

6840042 is an abundant number, since it is smaller than the sum of its proper divisors (8492502).

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

6840042 is a wasteful number, since it uses less digits than its factorization.

6840042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6840042 is about 2615.3473956628. The cubic root of 6840042 is about 189.8247876893.

It can be divided in two parts, 6 and 840042, that added together give a palindrome (840048).

The spelling of 6840042 in words is "six million, eight hundred forty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 2801 5602 8403 16806 30811 61622 92433 103637 184866 207274 310911 621822 1140007 2280014 3420021 6840042