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6042006 = 233412729
BaseRepresentation
bin10111000011000110010110
3102100222002000
4113003012112
53021321011
6333300130
7102233115
oct27030626
912328060
106042006
1134574a3
122034646
131337169
14b33c7c
157e5356
hex5c3196

6042006 has 32 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 1964160.

The previous prime is 6041983. The next prime is 6042007. The reversal of 6042006 is 6002406.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6042006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042007) 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 15 ways as a sum of consecutive naturals, for example, 850 + ... + 3578.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 26042006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

6042006 is an abundant number, since it is smaller than the sum of its proper divisors (7717194).

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

6042006 is a wasteful number, since it uses less digits than its factorization.

6042006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6042006 is about 2458.0492265209. The cubic root of 6042006 is about 182.1351288861.

The spelling of 6042006 in words is "six million, forty-two thousand, six", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 2729 5458 8187 16374 24561 49122 73683 111889 147366 223778 335667 671334 1007001 2014002 3021003 6042006