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6906042 = 23211132683
BaseRepresentation
bin11010010110000010111010
3110222212022100
4122112002322
53231443132
6404004230
7112462143
oct32260272
913885270
106906042
113997680
122390676
13157a520
14cbaaca
1591637c
hex6960ba

6906042 has 48 divisors (see below), whose sum is σ = 17585568. Its totient is φ = 1931040.

The previous prime is 6906041. The next prime is 6906043. The reversal of 6906042 is 2406096.

It is an interprime number because it is at equal distance from previous prime (6906041) and next prime (6906043).

It is a super-2 number, since 2×69060422 = 95386832211528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6905997 and 6906015.

It is not an unprimeable number, because it can be changed into a prime (6906041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233 + ... + 3915.

It is an arithmetic number, because the mean of its divisors is an integer number (366366).

Almost surely, 26906042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6906042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792784).

6906042 is an abundant number, since it is smaller than the sum of its proper divisors (10679526).

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

6906042 is a wasteful number, since it uses less digits than its factorization.

6906042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6906042 is about 2627.9349307013. The cubic root of 6906042 is about 190.4333782372.

The spelling of 6906042 in words is "six million, nine hundred six thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 2683 5366 8049 16098 24147 29513 34879 48294 59026 69758 88539 104637 177078 209274 265617 313911 383669 531234 627822 767338 1151007 2302014 3453021 6906042