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6004044 = 22362971
BaseRepresentation
bin10110111001110101001100
3102022001000000
4112321311030
53014112134
6332404300
7102014334
oct26716514
912261000
106004044
113430a22
122016690
131322ab7
14b240c4
157d8e99
hex5b9d4c

6004044 has 84 divisors (see below), whose sum is σ = 16526160. Its totient is φ = 1905120.

The previous prime is 6004021. The next prime is 6004067. The reversal of 6004044 is 4404006.

It is an interprime number because it is at equal distance from previous prime (6004021) and next prime (6004067).

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 84529 + ... + 84599.

It is an arithmetic number, because the mean of its divisors is an integer number (196740).

Almost surely, 26004044 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 6004044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263080).

6004044 is an abundant number, since it is smaller than the sum of its proper divisors (10522116).

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

6004044 is a wasteful number, since it uses less digits than its factorization.

6004044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6004044 is about 2450.3150817803. The cubic root of 6004044 is about 181.7528747574.

The spelling of 6004044 in words is "six million, four thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 71 81 87 108 116 142 162 174 213 243 261 284 324 348 426 486 522 639 729 783 852 972 1044 1278 1458 1566 1917 2059 2349 2556 2916 3132 3834 4118 4698 5751 6177 7047 7668 8236 9396 11502 12354 14094 17253 18531 21141 23004 24708 28188 34506 37062 42282 51759 55593 69012 74124 84564 103518 111186 166779 207036 222372 333558 500337 667116 1000674 1501011 2001348 3002022 6004044