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4164660 = 22325171361
BaseRepresentation
bin1111111000110000110100
321211120211200
433320300310
52031232120
6225132500
750253603
oct17706064
97746750
104164660
112394a75
12148a130
13b2a7c6
147a5a3a
15573e90
hex3f8c34

4164660 has 72 divisors (see below), whose sum is σ = 13385736. Its totient is φ = 1044480.

The previous prime is 4164637. The next prime is 4164673. The reversal of 4164660 is 664614.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 3825936 = 582^2 + 1956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (185913).

Almost surely, 24164660 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 4164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692868).

4164660 is an abundant number, since it is smaller than the sum of its proper divisors (9221076).

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

4164660 is a wasteful number, since it uses less digits than its factorization.

4164660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1388 counting only the distinct ones).

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

The square root of 4164660 is about 2040.7498621830. The cubic root of 4164660 is about 160.8890610814.

The spelling of 4164660 in words is "four million, one hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1361 1530 2722 3060 4083 5444 6805 8166 12249 13610 16332 20415 23137 24498 27220 40830 46274 48996 61245 69411 81660 92548 115685 122490 138822 208233 231370 244980 277644 347055 416466 462740 694110 832932 1041165 1388220 2082330 4164660