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6005024 = 252341199
BaseRepresentation
bin10110111010000100100000
3102022002100022
4112322010200
53014130044
6332413012
7102020234
oct26720440
912262308
106005024
113431733
122017168
13132338c
14b245c4
157d93ee
hex5ba120

6005024 has 48 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 2787840.

The previous prime is 6005011. The next prime is 6005039. The reversal of 6005024 is 4205006.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6004993 and 6005011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30077 + ... + 30275.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 26005024 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 6005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

6005024 is an abundant number, since it is smaller than the sum of its proper divisors (6695776).

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

6005024 is a wasteful number, since it uses less digits than its factorization.

6005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 6005024 is about 2450.5150479032. The cubic root of 6005024 is about 181.7627629886.

The spelling of 6005024 in words is "six million, five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 199 328 368 398 656 736 796 943 1312 1592 1886 3184 3772 4577 6368 7544 8159 9154 15088 16318 18308 30176 32636 36616 65272 73232 130544 146464 187657 261088 375314 750628 1501256 3002512 6005024