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6005020 = 225759727
BaseRepresentation
bin10110111010000100011100
3102022002100011
4112322010130
53014130040
6332413004
7102020230
oct26720434
912262304
106005020
11343172a
122017164
131323388
14b245c0
157d93ea
hex5ba11c

6005020 has 48 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 2021184.

The previous prime is 6005011. The next prime is 6005039. The reversal of 6005020 is 205006.

It is a congruent number.

It is an unprimeable number.

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, 7897 + ... + 8623.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 26005020 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 6005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

6005020 is an abundant number, since it is smaller than the sum of its proper divisors (8671460).

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

6005020 is a wasteful number, since it uses less digits than its factorization.

6005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 6005020 is about 2450.5142317481. The cubic root of 6005020 is about 181.7627226307.

The spelling of 6005020 in words is "six million, five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 727 826 1180 1454 1652 2065 2908 3635 4130 5089 7270 8260 10178 14540 20356 25445 42893 50890 85786 101780 171572 214465 300251 428930 600502 857860 1201004 1501255 3002510 6005020