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6057072 = 243372003
BaseRepresentation
bin10111000110110001110000
3102101201202000
4113012301300
53022311242
6333454000
7102325050
oct27066160
912351660
106057072
11346784a
122041300
131340c88
14b39560
157e9a4c
hex5c6c70

6057072 has 80 divisors (see below), whose sum is σ = 19879680. Its totient is φ = 1729728.

The previous prime is 6057061. The next prime is 6057097. The reversal of 6057072 is 2707506.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2023 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (248496).

Almost surely, 26057072 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 6057072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939840).

6057072 is an abundant number, since it is smaller than the sum of its proper divisors (13822608).

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

6057072 is a wasteful number, since it uses less digits than its factorization.

6057072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 6057072 is about 2461.1119438173. Note that the first 3 decimals coincide. The cubic root of 6057072 is about 182.2863904708.

The spelling of 6057072 in words is "six million, fifty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2003 3024 4006 6009 8012 12018 14021 16024 18027 24036 28042 32048 36054 42063 48072 54081 56084 72108 84126 96144 108162 112168 126189 144216 168252 216324 224336 252378 288432 336504 378567 432648 504756 673008 757134 865296 1009512 1514268 2019024 3028536 6057072