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6306066 = 233132691
BaseRepresentation
bin11000000011100100010010
3102212101022000
4120003210102
53103243231
6343054430
7104413014
oct30034422
912771260
106306066
113617928
122141416
1313ca400
14ba21b4
158486e6
hex603912

6306066 has 48 divisors (see below), whose sum is σ = 15196320. Its totient is φ = 1937520.

The previous prime is 6306061. The next prime is 6306077. The reversal of 6306066 is 6606036.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6306061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8781 + ... + 9471.

It is an arithmetic number, because the mean of its divisors is an integer number (316590).

Almost surely, 26306066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6306066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598160).

6306066 is an abundant number, since it is smaller than the sum of its proper divisors (8890254).

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

6306066 is a wasteful number, since it uses less digits than its factorization.

6306066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6306066 is about 2511.1881649928. The cubic root of 6306066 is about 184.7507331985.

The spelling of 6306066 in words is "six million, three hundred six thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 691 702 1014 1382 1521 2073 3042 4146 4563 6219 8983 9126 12438 17966 18657 26949 37314 53898 80847 116779 161694 233558 242541 350337 485082 700674 1051011 2102022 3153033 6306066