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6145668 = 2232533221
BaseRepresentation
bin10111011100011010000100
3102120020021100
4113130122010
53033130133
6335420100
7103144254
oct27343204
912506240
106145668
113518371
122084630
1313723b9
14b5d964
15815e13
hex5dc684

6145668 has 36 divisors (see below), whose sum is σ = 15832908. Its totient is φ = 2009280.

The previous prime is 6145661. The next prime is 6145693. The reversal of 6145668 is 8665416.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 1557504 = 2142^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6145661) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 298 + ... + 3518.

It is an arithmetic number, because the mean of its divisors is an integer number (439803).

Almost surely, 26145668 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 6145668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916454).

6145668 is an abundant number, since it is smaller than the sum of its proper divisors (9687240).

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

6145668 is a wasteful number, since it uses less digits than its factorization.

6145668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3279 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6145668 is about 2479.0457841678. The cubic root of 6145668 is about 183.1708518172.

The spelling of 6145668 in words is "six million, one hundred forty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 3221 6442 9663 12884 19326 28989 38652 57978 115956 170713 341426 512139 682852 1024278 1536417 2048556 3072834 6145668