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6414066 = 234172137
BaseRepresentation
bin11000011101111011110010
3110001212110000
4120131323302
53120222231
6345250430
7105342621
oct30357362
913055400
106414066
113690a8a
122193a16
131437609
14bcd6b8
1586a6e6
hex61def2

6414066 has 60 divisors (see below), whose sum is σ = 15378858. Its totient is φ = 1997568.

The previous prime is 6414041. The next prime is 6414071. The reversal of 6414066 is 6604146.

It can be written as a sum of positive squares in 3 ways, for example, as 6395841 + 18225 = 2529^2 + 135^2 .

It is a super-2 number, since 2×64140662 = 82280485304712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46750 + ... + 46886.

Almost surely, 26414066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689429).

6414066 is an abundant number, since it is smaller than the sum of its proper divisors (8964792).

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

6414066 is a wasteful number, since it uses less digits than its factorization.

6414066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6414066 is about 2532.6006396588. The cubic root of 6414066 is about 185.7994717115.

The spelling of 6414066 in words is "six million, four hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 137 153 162 274 289 306 411 459 578 822 867 918 1233 1377 1734 2329 2466 2601 2754 3699 4658 5202 6987 7398 7803 11097 13974 15606 20961 22194 23409 39593 41922 46818 62883 79186 118779 125766 188649 237558 356337 377298 712674 1069011 2138022 3207033 6414066